Differential geometry of lightlike submanifolds /
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| Author / Creator: | Duggal, Krishan L., 1929- |
|---|---|
| Imprint: | Basel : Birkhäuser, c2010. |
| Description: | 1 online resource (xii, 475 p.) |
| Language: | English |
| Series: | Frontiers in mathematics Frontiers in mathematics. |
| Subject: | |
| Format: | E-Resource Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/8895991 |
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| 100 | 1 | |a Duggal, Krishan L., |d 1929- |0 http://id.loc.gov/authorities/names/n94047699 |1 http://viaf.org/viaf/278236832 | |
| 245 | 1 | 0 | |a Differential geometry of lightlike submanifolds / |c Krishan L. Duggal, Bayram Şahin. |
| 260 | |a Basel : |b Birkhäuser, |c c2010. | ||
| 300 | |a 1 online resource (xii, 475 p.) | ||
| 336 | |a text |b txt |2 rdacontent |0 http://id.loc.gov/vocabulary/contentTypes/txt | ||
| 337 | |a computer |b c |2 rdamedia |0 http://id.loc.gov/vocabulary/mediaTypes/c | ||
| 338 | |a online resource |b cr |2 rdacarrier |0 http://id.loc.gov/vocabulary/carriers/cr | ||
| 490 | 1 | |a Frontiers in mathematics | |
| 504 | |a Includes bibliographical references and index. | ||
| 588 | |a Description based on print version record. | ||
| 505 | 0 | |a Cover -- Table of Contents13; -- Preface -- Notation -- Chapter 113;Preliminaries -- 1.1 Semi-Euclidean spaces -- 1.2 Semi-Riemannianmanifolds -- 1.3 Warped product manifolds -- 1.4 Lightlikemanifolds -- Chapter 2 Lightlike hypersurfaces -- 2.1 Basic general results -- 2.2 Screen conformal hypersurfaces -- 2.3 Unique existence of screen distributions -- 2.4 Induced scalar curvature -- 2.5 Lightlike Einstein hypersurfaces -- 2.6 Semi-symmetric hypersurfaces -- Chapter 3 Applications of lightlike hypersurfaces -- 3.1 Global null splitting theorem -- 3.2 Killing horizons -- 3.3 Dynamical horizons -- 3.4 Conformal Killing horizons -- 3.5 Differential operators on hypersurfaces -- 3.6 Osserman lightlike hypersurfaces -- Chapter 4 Half-lightlike submanifolds -- 4.1 Basic general results -- 4.2 Unique existence of screen distributions -- 4.3 Totally umbilical submanifolds -- 4.4 Screen conformal submanifolds -- Chapter 5 Lightlike submanifolds -- 5.1 The induced geometric objects -- 5.2 Unique screen distributions -- 5.3 Totally umbilical submanifolds -- 5.4 Minimal lightlike submanifolds -- 5.5 Warped product lightlike submanifolds -- Chapter 6 Submanifolds of indefinite Kahler manifolds -- 6.1 Introduction -- 6.2 Invariant lightlike submanifolds -- 6.3 Screen real submanifolds -- 6.4 Screen CR-lightlike submanifolds -- 6.5 Generalized CR-lightlike submanifolds -- 6.6 Totally real lightlike submanifolds -- 6.7 Slant lightlike submanifolds -- 6.8 Screen slant lightlike submanifolds -- Chapter 7 Submanifolds of indefinite Sasakian manifolds -- 7.1 Introduction -- 7.2 Lightlike hypersurfaces -- 7.3 Invariant submanifolds -- 7.4 Contact CR-lightlike submanifolds -- 7.5 Contact SCR-lightlike submanifolds -- 7.6 Generalized contact CR-lightlike submanifolds -- Chapter 8 Submanifolds of indefinite quaternion Kahler Manifolds -- 8.1 Introduction -- 8.2 Lightlike hypersurfaces -- 8.3 Screen real submanifolds -- 8.4 QR-lightlike submanifolds -- 8.5 Screen QR-lightlike submanifolds -- 8.6 Screen CR-lightlike submanifolds -- Chapter 9 Applications of lightlike geometry -- 9.1 Null 2-surfaces of spacetimes -- 9.2 Harmonicmaps andmorphisms -- 9.3 Harmonic maps from lightlike manifolds -- 9.4 CR-lightlike geometry in relativity -- 9.5 Lightlike contact geometry in physics -- Bibliography -- Index. | |
| 650 | 0 | |a Submanifolds. |0 http://id.loc.gov/authorities/subjects/sh85129484 | |
| 650 | 0 | |a Riemannian manifolds. |0 http://id.loc.gov/authorities/subjects/sh85114045 | |
| 650 | 0 | |a Mathematical physics. |0 http://id.loc.gov/authorities/subjects/sh85082129 | |
| 650 | 0 | 7 | |a Differentialgeometrie. |2 swd |
| 650 | 0 | 7 | |a Untermannigfaltigkeit. |2 swd |
| 650 | 0 | 7 | |a Pseudo-Riemannscher Raum. |2 swd |
| 655 | 4 | |a Electronic books. | |
| 650 | 7 | |a Mathematical physics. |2 fast |0 http://id.worldcat.org/fast/fst01012104 | |
| 650 | 7 | |a Riemannian manifolds. |2 fast |0 http://id.worldcat.org/fast/fst01097804 | |
| 650 | 7 | |a Submanifolds. |2 fast |0 http://id.worldcat.org/fast/fst01136611 | |
| 650 | 7 | |a MATHEMATICS |x Geometry |x Analytic. |2 bisacsh | |
| 700 | 1 | |a Sahin, Bayram. |1 http://viaf.org/viaf/107362932 | |
| 776 | 0 | 8 | |i Print version: |a Duggal, Krishan L., 1929- |t Differential geometry of lightlike submanifolds. |d Basel : Birkhäuser, c2010 |z 9783034602501 |w (DLC) 2009942369 |w (OCoLC)462921026 |
| 830 | 0 | |a Frontiers in mathematics. |0 http://id.loc.gov/authorities/names/n2004003681 | |
| 856 | 4 | 0 | |u http://dx.doi.org/10.1007/978-3-0346-0251-8 |y SpringerLink |
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| 035 | |a (ICU)8895991 | ||
| 929 | |a eresource | ||
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| 928 | |t Library of Congress classification |a QA649 .D75 2010 |l Online |c UC-FullText |u http://dx.doi.org/10.1007/978-3-0346-0251-8 |z SpringerLink |g ebooks |i 11482124 | ||