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dc.contributor.advisorDíaz Ramos, José Carlos
dc.contributor.advisorDomínguez Vázquez, Miguel
dc.contributor.authorPérez Barral, Olga
dc.date.accessioned2021-02-22T13:19:22Z
dc.date.available2021-02-22T13:19:22Z
dc.date.issued2020
dc.identifier.urihttp://hdl.handle.net/10347/24555
dc.description.abstractThe 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.isoeng
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectHomogeneous submanifold
dc.subjectruled hypersurface
dc.subjectCR submanifold
dc.subjectcohomogeneity one
dc.subjectcomplex space form
dc.subjectMinkowski spacetime
dc.subject.classificationMaterias::Investigación::12 Matemáticas::1204 Geometría::120404 Geometría diferencial
dc.subject.classificationMaterias::Investigación::12 Matemáticas::1204 Geometría::120411 Geometría de Riemann
dc.subject.classificationMaterias::Investigación::12 Matemáticas::1201 Algebra::120109 Algebra de Lie
dc.titleRuled hypersurfaces and homogeneous submanifolds in semi-Riemannian manifolds
dc.typedoctoral thesis
dc.rights.accessRightsopen access
dc.contributor.affiliationUniversidade de Santiago de Compostela. Escola de Doutoramento Internacional (EDIUS)
dc.contributor.affiliationUniversidade de Santiago de Compostela. Programa de Doutoramento en Matemáticas


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