Ruled hypersurfaces and homogeneous submanifolds in semi-Riemannian manifolds
Por favor, use este identificador para citas ou ligazóns a este ítem:
http://hdl.handle.net/10347/24555
Ficheiros no ítem
Metadatos do ítem
Título: | Ruled hypersurfaces and homogeneous submanifolds in semi-Riemannian manifolds |
Autor/a: | Pérez Barral, Olga |
Dirección/Titoría: | Díaz Ramos, José Carlos Domínguez Vázquez, Miguel |
Centro/Departamento: | Universidade de Santiago de Compostela. Escola de Doutoramento Internacional (EDIUS) Universidade de Santiago de Compostela. Programa de Doutoramento en Matemáticas |
Palabras chave: | Homogeneous submanifold | ruled hypersurface | CR submanifold | cohomogeneity one | complex space form | Minkowski spacetime | |
Data: | 2020 |
Resumo: | 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. |
URI: | http://hdl.handle.net/10347/24555 |
Dereitos: | Attribution-NonCommercial-NoDerivatives 4.0 Internacional |
Coleccións
-
- Área de Ciencias [955]
O ítem ten asociados os seguintes ficheiros de licenza: