Null Curves and Hypersurfaces of Semi-riemannian Manifolds

by Krishan L. Duggal

Publisher: World Scientific Publishing Company

Written in English
Cover of: Null Curves and Hypersurfaces of Semi-riemannian Manifolds | Krishan L. Duggal
Published: Pages: 304 Downloads: 735
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Subjects:

  • Differential & Riemannian geometry,
  • Science,
  • Mathematics,
  • Science/Mathematics,
  • Geometry - Differential,
  • Mathematical Physics,
  • Science / Mathematics,
  • Reference
The Physical Object
FormatHardcover
Number of Pages304
ID Numbers
Open LibraryOL13169966M
ISBN 10981270647X
ISBN 109789812706478

The geometry of degenerate submanifolds of semi-Riemannian manifolds is discussed in detail in the books by Kupeli and by Duggal and Bejancu. In this article, I use the generalized definition of the second fundamental form, as suggested in the above-mentioned exercise of O’Neill's book, and discuss, thereupon, some general properties of Cited by: Entdecken Sie "Foundations of Photonic Crystal Fibres ()" von Didier Felbacq und finden Sie Ihren Buchhändler. The focus of this book lies at the meeting point of electromagnetic waveguides and photonic crystals. Although these are both widely studied topics, they have been kept apart until recently. The purpose of the first edition of this book was to give state-of-the-art theoretical and. On Clairaut Anti-invariant Semi-Riemannian Submersions: Y. Gündüzalp: On the geometry of conformal slant submersions: Y. Gündüzalp, M.A. Akyol: Some Results for Generalized Null Mannheim curves in 4-dimensional Semi-Euclidean: N. Kılıç Aslan, K. İlarslan Space with Index 2: Smarandache Curves According to q-Frame in. In this talk we will present Singuler Semi-Riemannian manifolds (introduced by Demir Küpeli in [1]) with an adapted almost contact structure. We will study the main facts about such a structure, with some examples. Key Words: Contact Manifolds, Almost Semi Riemannian Manifolds, Singular Manifolds, Singular Semi Riemannian Almost Contact.

The classi cation of conformally Einstein manifolds is still an intriguing open problem nowadays. Despite recent progress on product manifolds and Kahler manifolds, the general situation needs to be elucidated. Our purpose on this lecture is to determine all four-dimensional conformally Einstein .   A null chain is the projection on M of a nonvertical null geodesic which is orthogonal to S. By a result of Koch every null geodesic projects either to a point, or to a null chain, or to a chain of M (cf proposition in, p ). If M is strictly pseudoconvex, then all Cited by: 2. Add book; Categories; Most Popular; Recently Added; Z-Library Project; Top Z-Librarians; Blog; Main TermsVector search result for "null" 1. Алгоритмы. Справочник с примерами на C, C++, Java и Python (CD) Null curves and hypersurfaces of semi-Riemannian manifolds. World . Buy Geometry ebooks from We have a wide range of authors and publishers in our portfolio. Take a look and find what you need for your studies! Use .

17th International Geometry Symposium June , Erzincan Binali Yildirim University, Erzincan-TURKEY 4 FOREWORD Hosted by Erzincan Binali Yıldırım University between June , , the 17th International Geometry Symposium was held in Erzincan which is a beautiful and has historical background in the east of Size: KB. Rectifying Salkowski Curves with Serial Approach in Minkowski 3-Space Beyhan YILMAZ, İsmail GÖK Yusuf YAYLI Normal Section Curves on Semi-Riemannian Manifolds Feyza Esra ERDOĞAN Selcen YÜKSEL PERKTAù On Generalized D-Conformal Deformations of Some Classes of Almost Contact Metric Manifolds Nülifer ÖZDEMİR of the geometry to null curves in Lorentz manifolds and, more generally, in semi-Riemannian manifolds. Some notations, definitions and reviews of some aspects of the differential geometry in R3 1, can be found in [19,17,18,20,21,25,12,24]. This paper presents algorithms for computing the null frame of a given null or pseudo null curve inAuthor: Osmar Alêssio, Sayed A.-N. Badr, Soad A. Hassan, Luciana A. Rodrigues, Fábio N. Silva, M. A. Soliman. Fortuné Massamba and S. Ssekajja, On total mean curvatures of foliated half-lightlike submanifolds in semi-Riemannian manifolds, Hacettepe Journal of Mathematics and Statistics, accepted Fortuné Massamba and S. Ssekajja, Null hypersurfaces evolved by their mean Curvature in a Lorentzian manifold, Colloquium Mathematicum, (),

Null Curves and Hypersurfaces of Semi-riemannian Manifolds by Krishan L. Duggal Download PDF EPUB FB2

Buy Null Curves and Hypersurfaces of Semi-Riemannian Manifolds on FREE SHIPPING on qualified orders Null Curves and Hypersurfaces of Semi-Riemannian Manifolds: Duggal, Krishan L, Dae, Ho Jin: : BooksCited by: Null curves and hypersurfaces of semi-Riemannian manifolds Krishan L.

Duggal Department of Mathematics and Statistics, University of Windsor, Windsor, Ontario, Canada N9B 3P4. System Upgrade on Feb 12th During this period, E-commerce and registration of new users may not be available for up to 12 hours.

For online purchase, please visit us again. Get this from a library. Null curves and hypersurfaces of semi-Riemannian manifolds. [Krishan L Duggal; Dae Ho Jin] -- "This is a first textbook that is entirely focused on the up-to-date developments of null curves with their applications to science and engineering.

It fills an important gap in a. Null Curves and Hypersurfaces of Semi-Riemannian Manifolds unique null Cartan curves in Lorentzian manifolds and their practical problems in science and engineering. simple variation. This Book; Anywhere; Citation; Quick Search in Books.

Null Curves and Hypersurfaces of Semi-Riemannian Manifolds, pp. i-viii () Free Access. Null Curves and Hypersurfaces of Semi-Riemannian Manifolds. Metrics. Downloaded 93 times History. Loading Close Figure Viewer. Using the Levi-Civita connection we brief on the geometry of semi-Riemannian manifolds and their non-degenerate hypersurfaces.

In the last two sections we deal with the basic results on null curves and lightlike hypersurfaces of 4 dimensional Lorentz : Krishan L. Duggal, Ramesh Sharma.

We study lightlike hypersurfaces of a semi-Riemannian product manifold. We introduce a class of lightlike hypersurfaces called screen semi-invariant lightlike hypersurfaces and radical anti-invariant lightlike hypersurfaces.

Null Curves and Hypersurfaces of Semi-riemannian Manifolds book consider lightlike hypersurfaces with respect to a quarter-symmetric nonmetric connection which is determined by the product by: 5.

Part of the Mathematics and Its Applications book series (MAIA, volume ) Log in to check access. Buy eBook. USD Geometry of Null Curves in Lorentz Manifolds.

Lightlike Hypersurfaces of Semi-Riemannian Manifolds. Some work is known on null hypersurfaces and degenerate submanifolds (see an up-to-date list of references on pages and respectively).

Our approach, in this book, has the following outstanding features: (a) It is the first-ever attempt of an up-to-date information on null curves, lightlike hypersur­ faces and submanifolds, consistent.

Get this from a library. Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications. [Krishan L Duggal; Aurel Bejancu] -- This book has been written with a two-fold approach in mind: firstly, it adds to the theory of submanifolds the missing part of lightlike (degenerate) submanifolds of semi-Riemannian manifolds, and.

Buy Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications (Mathematics and Its Applications) on FREE SHIPPING on qualified ordersCited by: Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications by Krishan L.

Duggal,available at Book Depository with free delivery worldwide. The theory of Riemannian and semi-Riemannian manifolds (M, g) and their submanifold is one of the most interesting areas of research in differential geometry.

Most of the work on the Riemannian, semi-Riemannian, and Lorentzian manifolds has been described in the standard books by Chen [1], Beem and Ehrlich [2], and O’Neill [3].Berger’s book [4] includes the major developments of Riemannian.

This is a review paper of up-to-date research done on the existence of unique null curves, screen distributions, Levi-Civita connection, symmetric Ricci tensor, and scalar curvature for a large variety of lightlike submanifolds of semi-Riemannian (in particular, Lorentzian) manifolds, supported by examples and an extensive bibliography.

We also propose some open by: 1. known on null hypersurfaces and degenerate submanifolds (see an up-to-date list of references on pages and respectively). Our approach, in this book, has the following outstanding features: (a) It is the first-ever attempt of an up-to-date information on null curves, lightlike hypersur faces and submanifolds, consistent with the theory of.

On focal curves of null Cartan curves Hakan S˘IMS˘EK_ the general study of the geometry of null curves in Lorentz manifolds and, more generally, in semi-Riemannian manifolds (see also the book [5]). Ferrandez et al. [6] gave a reference along a null curve in an n-dimensional. Given a null hypersurface of a Lorentzian manifold, we induce a Riemannian metric on the null hypersurface using a normalizing field defined on some open set containing the null : Karimumuryango M.

For instance, Duggal and Jin have systematic studied the null curves in semi-Riemannian manifolds and proved the existence of a canonical representation of null curves on Lorentzian manifolds.

Bejancu provides a general method to study the geometry of null curves on Lorentzian manifolds in. We will employ these methods to investigate the Author: Sining Wei, Jie Huang, Liang Chen. Notes on magnetic curves in 3D semi-Riemannian manifolds Zehra OZDEM _IR, _Ismail G OK, Yusuf YAYLI, Faik Nejat EKMEKCI_ Department of Mathematics, Faculty of Science, Ankara University, Ankara, Turkey Received: Accepted/Published Online: Printed: the geometry of space-times and semi-Riemannian manifolds.

Speci cally, we study geodesic connectedness. We give geometric-topological proofs of geo-desic connectedness for classes of space-times to which known methods do not apply.

For instance: A null-disprisoning space-time is. AbstractThe paper is mainly devoted to the study of the geometry of screen conformal lightlike hypersurfaces of an indefinite cosymplectic manifold.

The main result is a characterisation theorem for screen conformal lightlike hypersurfaces of an indefinite cosymplectic space form. The examples of totally geodesic, screen homothetic and screen conformal lightlike hypersurfaces are also Cited by: 1.

connection, symmetric Ricci tensor, and scalar curvature for a large variety of lightlike submanifolds of semi-Riemannian (in particular, Lorentzian) manifolds, supported by examples and an extensive bibliography.

We also propose some open problems. Introduction e theory of Riemannian and semi-Riemannian manifoldsCited by: 1. In this article, we define Lorentzian cross product in a three-dimensional almost contact Lorentzian manifold. Using a Lorentzian cross product, we prove that the ratio of κ and τ − 1 is constant along a Frenet slant curve in a Sasakian Lorentzian three-manifold.

Moreover, we prove that γ is a slant curve if and only if M is Sasakian for a contact magnetic curve γ in contact Cited by: 1.

SF Semi Riemannian Geometry I, Teacher: Hans Ringström, [email protected], rumLindstedsv. 25, 66 First meeting: The first meeting will take placeFriday September Please come to my office at that time.

Preparations, first meeting: In preparation for the first meeting, please read the first two chapters of O'Neill's book and do the corresponding exercises (see below).

Modern differential geometry of curves and surfaces with Mathematica by: Gray, Alfred,et al. Published: () Null curves and hypersurfaces of semi-Riemannian manifolds by: Duggal, Krishan L.,et al.

Published: (). Abstract. In this paper, we mainly study lightlike hypersurfaces of semi-Riemannian space form. Our main result is a classi cation theo-rem of screen conformal lightlike hypersurfaces. Also, we obtain some geometric properties of lightlike hypersurfaces with a conformal Killing distribution.

Introduction. The notion of being totally umbilic is considered for non-degenerate and degenerate submanifolds of semi-Riemanian manifolds. After some remarks on the general case, timelike and lightlike totally umbilic submanifolds of Lorentzian manifolds are discussed, along with their physical interpretation in view of general relativity.

In particular, the mathematical notion of totally umbilic. Null curves and hypersurfaces of semi-Riemannian manifolds. World Scientific. Duggal, Krishan L., Jin, Dae Ho. Year: Language: Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications. Springer Netherlands. Krishan L. Duggal, Aurel Bejancu (auth A search query can be a title of the book, a name of the author, ISBN or.

On a Type of Lightlike Submanifold of a Golden Semi-Riemannian Manifold: B. ACET: Ruled Surfaces whose Base Curves are Non-Null Curves with Zero Weighted Curvature in E 1 3 with Density e ax+by: M.

ALTIN, A. KAZAN and H. KARADAĞ: Rotational Surfaces Generated by Non-Null Curves with Zero Weighted Curvature in E 1 3 with Density e ax2+by2. Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields.

Gauss Curvature Equation for hypersurface in Semi-Riemannian manifold. Ask Question Asked 4 years, 8 Einstein manifolds with metric locally conformal to that of a manifold of constant sectional curvature.Duggal / Bejancu, Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications,Buch, Bücher schnell und portofrei.Stack Exchange network consists of Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share .