RT Dissertation/Thesis
T1 Ruled hypersurfaces and homogeneous submanifolds in semi-Riemannian manifolds
A1 Pérez Barral, Olga
K1 Homogeneous submanifold
K1 ruled hypersurface
K1 CR submanifold
K1 cohomogeneity one
K1 complex space form
K1 Minkowski spacetime
AB The notion of symmetry can be defined in a rigorous way in terms of grouptheory. In the setting of semi-Riemannian geometry, the natural group to consider is the isometry group. In thisthesis we study some specific types of submanifolds of semi-Riemannian manifolds from the viewpoint of theirsymmetries. 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 complexspace forms, where we investigate ruled hypersurfaces satisfying some additional geometric properties and wealso derive a classification of homogeneous CR submanifolds.
YR 2020
FD 2020
LK http://hdl.handle.net/10347/24555
UL http://hdl.handle.net/10347/24555
LA eng
DS Minerva
RD 24 abr 2026