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Imersões isométricas de formas espaciais em Sn x R e Hn x R

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Date
2015-06-08
Author
Canevari, Samuel da Cruz
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Abstract
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 classification of isometric immersions f : Mm ^ Hm+p x R with m > 3 P < m — ^d c < 0, We also characterize the hvpersurfaces f : M3 ^ Q4(c) for which there exists another isometric immersion f : M3 ^ L4, where Q4(c^d L4 denote a 4-dimensional space form of constant sectional curvature c and the 4-dimensional Lorentz space, respectively.
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https://repositorio.ufscar.br/handle/ufscar/7703
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UFSCar
Universidade Federal de São Carlos - UFSCar
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UFSCar
Universidade Federal de São Carlos - UFSCar
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UFSCar

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