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Imersões isométricas de formas espaciais em Sn x R e Hn x R
(Universidade Federal de São Carlos, 2015-06-08)
In this thesis we classify the isometric immersions f : Mm ^ Sm+p x R with m > 3 P < m — ^d c < 1, where Mm denotes a Riemannian manifold with constant sectional curvature equal to c. We obtain partial results on the ...
Polynomial Weingarten surfaces of tubular type
(Universidade Federal de São Carlos, 2022-04-04)
This work seeks to contribute to the classification of Weingarten surfaces. More precisely, it fully classifies three families of surfaces (named tubular, cyclic and canal surfaces) in a tridimensional space form (Euclidean, ...
Pseudo-parallel immersions in SnxR and HnxR, and constant anisotropic mean curvature surfaces in R3
(Universidade Federal de São Carlos, 2019-12-20)
In this Ph.D. thesis, we investigate two topics in Differential Geometry. The first topic refers to the study of pseudo-parallel submanifolds in the ambient spaces SnxR and HnxR. We complete the partial classification given ...
Pseudo-parallel immersions of Lorentzian manifolds in pseudo-Riemannian space forms
(Universidade Federal de São Carlos, 2024-05-24)
In this Ph.D. thesis, we study pseudo-parallel submanifolds in pseudo-Riemannian space forms. We give a characterization of pseudo-parallel Lorentzian surfaces with non-flat normal bundle in pseudo-Riemannian space forms ...