On totally umbilic submanifolds of semi-Riemannian manifolds

Nonlinear Analysis, Theory, Methods and Applications

Volumn 63, Issue 5-7, 2005, Pages

  Perlick, Volker ^a  

^a TECHNISCHE UNIVERSITÄT BERLIN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENTIAL EQUATIONS; GEODESY; NUMERICAL METHODS;

LORENTZIAN MANIFOLDS; SABMANIFOLDS;

GEOMETRY;

EID: 28044460298     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2004.12.033     Document Type: Conference Paper

References (12)

1. M.A. Abramowicz Centrifugal force - a few surprises Mon. Not. R. Astron. Soc. 245 1990 733 746
2. S.S. Ahn, D.S. Kim, and Y.H. Kim Totally umbilic Lorentzian submanifolds J. Korean Math. Soc. 33 1996 507 512
3. C.M. Claudel, K.S. Virbhadra, and G.F.R. Ellis The geometry of photon surfaces J. Math. Phys. 42 2001 818 838
4. K.L. Duggal, and A. Bejancu Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications 1996 Kluwer Dordrecht
5. T. Foertsch, W. Hasse, and V. Perlick Inertial forces and photon surfaces in arbitrary spacetimes Classical Quantum Gravity 20 2003 4635 4652
6. S.K. Hong Totally umbilic Lorentzian surfaces embedded in L n Bull. Korean Math. Soc. 34 1997 9 17
7. D.N. Kupeli Singular Semi-Riemannian Geometry 1996 Kluwer Dordrecht
8. B. O'Neill Semi-Riemannian Geometry 1983 Academic Press New York
9. R. Ponge, and H. Reckziegel Twisted products in pseudo-Riemannian geometry Geom. Dedicata 48 1993 15 25
10. A. Schild Classical null strings Phys. Rev. D 16 1977 1722 1726
11. J.A.G. Vickers Generalized cosmic strings Class. Quantum Grav. 4 1987 1 9
12. G. Walschap Umbilic foliations and curvature Ill. J. Math. 41 1997 122 128