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dc.contributor.advisor | Díaz Ramos, José Carlos |
dc.contributor.advisor | Domínguez Vázquez, Miguel |
dc.contributor.author | Pérez Barral, Olga |
dc.date.accessioned | 2021-02-22T13:19:22Z |
dc.date.available | 2021-02-22T13:19:22Z |
dc.date.issued | 2020 |
dc.identifier.uri | http://hdl.handle.net/10347/24555 |
dc.description.abstract | The notion of symmetry can be defined in a rigorous way in terms of group theory. In the setting of semi-Riemannian geometry, the natural group to consider is the isometry group. In this thesis we study some specific types of submanifolds of semi-Riemannian manifolds from the viewpoint of their symmetries. On the one hand, we focus on the simplest example of Lorentzian manifold, the Minkowski spacetime, where we investigate cohomogeneity one actions. On the other hand, we turn our attention to nonflat complex space forms, where we investigate ruled hypersurfaces satisfying some additional geometric properties and we also derive a classification of homogeneous CR submanifolds. |
dc.language.iso | eng |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ |
dc.subject | Homogeneous submanifold |
dc.subject | ruled hypersurface |
dc.subject | CR submanifold |
dc.subject | cohomogeneity one |
dc.subject | complex space form |
dc.subject | Minkowski spacetime |
dc.subject.classification | Materias::Investigación::12 Matemáticas::1204 Geometría::120404 Geometría diferencial |
dc.subject.classification | Materias::Investigación::12 Matemáticas::1204 Geometría::120411 Geometría de Riemann |
dc.subject.classification | Materias::Investigación::12 Matemáticas::1201 Algebra::120109 Algebra de Lie |
dc.title | Ruled hypersurfaces and homogeneous submanifolds in semi-Riemannian manifolds |
dc.type | doctoral thesis |
dc.rights.accessRights | open access |
dc.contributor.affiliation | Universidade de Santiago de Compostela. Escola de Doutoramento Internacional (EDIUS) |
dc.contributor.affiliation | Universidade de Santiago de Compostela. Programa de Doutoramento en Matemáticas |
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