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THE NATURE OF GRAVITATIONAL FIELD AND ITS LEGITIMATE ENERGY-MOMENTUM TENSOR
(Pergamon-elsevier Science LtdOxfordInglaterra, 2012)
Periodic geodesics and geometry of compact Lorentzian manifolds with a Killing vector field
(SPRINGER, 2011)
We study the geometry and the periodic geodesics of a compact Lorentzian manifold that has a Killing vector field which is timelike somewhere. Using a compactness argument for subgroups of the isometry group, we prove the ...
A Maxwell-like formulation of gravitational theory in minkowski space-time
(World Scientific Publ Co Pte LtdSingaporeSingapura, 2007)
The Geometry of Locally Symmetric Affine Surfaces
(Springer, 2018-03)
We examine the local geometry of affine surfaces which are locally symmetric. There are six non-isomorphic local geometries. We realize these examples as type A, type B, and type C geometries using a result of Opozda and ...
Lorentzian compact manifolds: Isometries and geodesics
(Elsevier Science, 2014-04)
In this work we investigate families of compact Lorentzian manifolds in dimension four. We show that every lightlike geodesic on such spaces is periodic, while there are closed and non-closed spacelike and timelike geodesics. ...
Decomposition of the Laplace-Beltrami operator on riemannian manifolds
(Universidad Nacional de ColombiaBogotá - Ciencias - Maestría en Ciencias - MatemáticasDepartamento de MatemáticasFacultad de CienciasBogotá, ColombiaUniversidad Nacional de Colombia - Sede Bogotá, 2021)
The goal of this work is to study the geometric conditions required on a pseudo-Riemannian manifold M to guarantee the existence of solutions of a second order partial differential equation posed on M. We closely follow ...