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Generalized vector cross products and Killing forms on negatively curved manifolds
(Springer, 2020-04)
Motivated by the study of Killing forms on compact Riemannian manifolds of negative sectional curvature, we introduce the notion of generalized vector cross products on Rn and give their classification. Using previous ...
Affine Killing vector fields on homogeneous surfaces with torsion
(IOP Publishing, 2019-06)
Many extensions of General Relativity are based on considering metric and affine structures as independent properties of spacetime. This leads to the possibility of introducing torsion as an independent degree ...
Conformal Killing Vector Fields and Rellich Type Identities on Riemannian Manifolds, II
(Springer Basel AgBaselSuíça, 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 ...
Análisis geométrico del modelo cosmológico de de Sitter.
(Universidad Pedagógica NacionalLicenciatura en FísicaFacultad de Ciencia y Tecnología, 2022)
En el presente trabajo de grado se formuló como problemática encontrar las simetrías del Universo de de Sitter mediante un análisis geométrico desde la perspectiva de la geometría de Riemann. La Cosmología modela al ...
Stability of closed timelike curves in the Gödel universe
(General Relativity and Gravitation, 2018)
Campos vectoriales tipo Killing en geometría Ruemanniana
(Pontificia Universidad Javeriana, 2016)