Zobrazeno 1 - 10
of 20
pro vyhledávání: '"Benjamín Olea"'
Autor:
Manuel Gutiérrez, Benjamín Olea
Publikováno v:
Axioms, Vol 10, Iss 4, p 284 (2021)
Starting from the main definitions, we review the rigging technique for null hypersurfaces theory and most of its main properties. We make some applications to illustrate it. On the one hand, we show how we can use it to show properties of null hyper
Externí odkaz:
https://doaj.org/article/b0603f60cded4fa0af94e3e542a5ad63
Autor:
Benjamín Olea
Publikováno v:
Mediterranean Journal of Mathematics. 20
A well-known application of the Raychaudhuri equation shows that, under geodesic completeness, totally geodesic null hypersurfaces are unique which satisfy that the Ricci curvature is nonnegative in the null direction. The proof of this fact is based
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d76beece56e6c42a2c614bd005acd83e
https://doi.org/10.1007/s00009-023-02285-6
https://doi.org/10.1007/s00009-023-02285-6
Publikováno v:
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas. 117
We show a link between affine differential geometry and null submanifolds in a semi-Riemannian manifold via statistical structures. Once a rigging for a null submanifold is fixed, we can construct a semi-Riemannian metric on it. This metric and the i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::146e0946197afe32bc54b7a82071e728
https://doi.org/10.1007/s13398-022-01381-8
https://doi.org/10.1007/s13398-022-01381-8
Autor:
Benjamín Olea, Francisco J. Palomo
Publikováno v:
The Journal of Geometric Analysis. 33
We say that a Lorentzian metric and a semi-Riemannian metric on the same manifold M are null-projectively related if every null geodesic of the Lorentzian metric is an unparametrized geodesic of the semi-Riemannian one. This definition includes the c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::81956536e32b01db8e22c5b49372f52f
https://doi.org/10.1007/s12220-022-01126-4
https://doi.org/10.1007/s12220-022-01126-4
Autor:
Cyriaque Atindogbé, Benjamín Olea
Publikováno v:
RIUMA. Repositorio Institucional de la Universidad de Málaga
instname
instname
We give conditions for a conformal vector field to be tangent to a null hypersurface. We particularize to two important cases: a Killing vector field and a closed and conformal vector field. In the first case, we obtain a result ensuring that a null
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8fbe4edfaa58d466a8953b226f8c3024
https://doi.org/10.1007/s00025-022-01653-0
https://doi.org/10.1007/s00025-022-01653-0
Autor:
Manuel Gutiérrez, Benjamín Olea
Publikováno v:
Developments in Lorentzian Geometry ISBN: 9783031053788
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c8f35a90448e921249d98b82d9b2c1dd
https://doi.org/10.1007/978-3-031-05379-5_8
https://doi.org/10.1007/978-3-031-05379-5_8
Autor:
Manuel Gutiérrez, Benjamín Olea
Publikováno v:
Annals of Global Analysis and Geometry. 56:507-518
We establish a new lower bound for the null injectivity radius of a null cone. The idea is to use a function closely related to the null second fundamental form which codifies the directional expansion of the null cone along any null geodesic in it.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5b3289660f161af1a2e7df9b381a5e78
https://doi.org/10.1007/s10455-019-09676-7
https://doi.org/10.1007/s10455-019-09676-7
Publikováno v:
RIUMA. Repositorio Institucional de la Universidad de Málaga
instname
instname
The aim of this paper is to show how we can induce contact structures, contact metric structures and Sasaki structures on a null hypersurface from a rigging vector field. We give several explicit examples of this construction and some obstructions to
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e898c1e4a56a9acfead9d072fcc96b05
https://doi.org/10.1016/j.geomphys.2022.104576
https://doi.org/10.1016/j.geomphys.2022.104576
Autor:
Manuel Gutiérrez, Benjamín Olea
Publikováno v:
Journal of Mathematical Analysis and Applications. 508:125906
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0cc115e13fb8d9a296ee1866b0017a11
https://doi.org/10.1016/j.jmaa.2021.125906
https://doi.org/10.1016/j.jmaa.2021.125906
Publikováno v:
Mediterranean Journal of Mathematics. 16
We extend the rigging technique to null submanifolds of a Lorentzian manifold, which allows us to construct two connections: the induced connection and the rigged connection. We study the relationship between them after changing the rigging and the e
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c404469cc64cb9428a16de86b7ec695e
https://doi.org/10.1007/s00009-019-1423-x
https://doi.org/10.1007/s00009-019-1423-x