Four-dimensional homogeneous Lorentzian manifolds

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

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

scholarly journals On a Class of Geodesically Connected Lorentzian Manifolds

1997 ◽  
Vol 138 (1) ◽  
pp. 171-187 ◽  
Author(s):  
Flavia Antonacci ◽  
Rosella Sampalmieri
Keyword(s):  
Lorentzian Manifolds

Geodesics in Static Lorentzian Manifolds with Critical Quadratic Behavior

2003 ◽  
Vol 3 (4) ◽  
Author(s):  
R. Bartolo ◽  
A.M. Candela ◽  
J.L. Flores ◽  
M. Sánchez
Keyword(s):  
Lorentzian Manifold ◽  
Lorentzian Manifolds ◽  
Geodesic Connectedness

AbstractThe aim of this paper is t o study the geodesic connectedness of a complete static Lorentzian manifold (M.〈·, ·〉

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