scholarly journals RIEMANNIAN SUBMANIFOLDS IN LORENTZIAN MANIFOLDS WITH THE SAME CONSTANT CURVATURES

2002 ◽  
Vol 39 (2) ◽  
pp. 237-249 ◽  
Author(s):  
Joon-Sang Park
Keyword(s):  
Lorentzian Manifolds ◽  
Riemannian Submanifolds

A survey on sufficient conditions for geodesic completeness of nondegenerate hypersurfaces in Lorentzian geometry

2016 ◽  
Vol 13 (03) ◽  
pp. 1630003
Author(s):  
Fazilet Erkekog̃lu
Keyword(s):  
Sufficient Conditions ◽  
Point Of View ◽  
Lorentzian Geometry ◽  
Euclidean Spaces ◽  
Lorentzian Manifolds ◽  
Geodesic Completeness ◽  
Riemannian Submanifolds ◽  
Structural Point

This is a survey of the principal results about the geodesic completeness of nondegenerate hypersurfaces in Lorentzian manifolds from a structural point of view. Some of these results retain their validity in the case of semi-Riemannian submanifolds in semi-Euclidean spaces, as well.

Four-dimensional homogeneous Lorentzian manifolds

2013 ◽  
Vol 174 (3) ◽  
pp. 377-402 ◽  
Author(s):  
Giovanni Calvaruso ◽  
Amirhesam Zaeim
Keyword(s):  
Lorentzian Manifolds

On extremal semi-Riemannian submanifolds

1996 ◽  
Vol 45 (2) ◽  
pp. 211-232 ◽  
Author(s):  
Demir N. Kupeli
Keyword(s):  
Riemannian Submanifolds

scholarly journals FINITE ACTION KLEIN–GORDON SOLUTIONS ON LORENTZIAN MANIFOLDS

2006 ◽  
Vol 03 (07) ◽  
pp. 1349-1357 ◽  
Author(s):  
V. V. KOZLOV ◽  
I. V. VOLOVICH
Keyword(s):  
Mass Spectrum ◽  
Elliptic Equations ◽  
Gordon Equation ◽  
Infinite Family ◽  
De Sitter ◽  
Lorentzian Manifolds ◽  
Klein Gordon ◽  
Finite Action ◽  
Discrete Mass ◽  
Klein Gordon Equation

The eigenvalue problem for the square integrable solutions is studied usually for elliptic equations. In this paper we consider such a problem for the hyperbolic Klein–Gordon equation on Lorentzian manifolds. The investigation could help to answer the question why elementary particles have a discrete mass spectrum. An infinite family of square integrable solutions for the Klein–Gordon equation on the Friedman type manifolds is constructed. These solutions have a discrete mass spectrum and a finite action. In particular the solutions on de Sitter space are investigated.

A Toponogov splitting theorem for Lorentzian manifolds

1985 ◽  
pp. 1-13 ◽  
Author(s):  
John K. Beem ◽  
Paul E. Ehrlich ◽  
Steen Markvorsen ◽  
Gregory J. Galloway
Keyword(s):  
Splitting Theorem ◽  
Lorentzian Manifolds

Killing spinors on Lorentzian manifolds

2003 ◽  
Vol 45 (3-4) ◽  
pp. 285-308 ◽  
Author(s):  
Christoph Bohle
Keyword(s):  
Lorentzian Manifolds ◽  
Killing Spinors

scholarly journals On the curvature of Riemannian submanifolds of codimension 2

1985 ◽  
Vol 14 (1) ◽  
pp. 107-135 ◽  
Author(s):  
Yoshio AGAOKA
Keyword(s):  
Riemannian Submanifolds

scholarly journals Lorentzian manifolds isometrically embeddable in $\mathbb{L}^{N}$

2011 ◽  
Vol 363 (10) ◽  
pp. 5367-5367 ◽  
Author(s):  
O. Müller ◽  
M. Sánchez
Keyword(s):  
Lorentzian Manifolds
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