Superfícies Helicoidais no espaço Euclidiano e de Minkowski
Data
2012-05-31
Autores
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Universidade Federal de Goiás
Resumo
In this work, based in [2] and [6] we studies helicoidal surfaces of the Euclidean space
and Minkowski space R31
with prescribed Gaussian or mean curvature given by smooth
functions. In the Minkowski space we consider three especial kinds of helicoidal surfaces,
corresponding to the space-like, time-like or light-like axes of revolution and show some
geometric meanings of the helicoidal surfaces of the space-like type. We also define
certain solinoid (tubular) surfaces around a hyperbolic helix in R31and we study some
of their geometric properties.
Descrição
Citação
SOUZA, Danillo Flugge de. Helicoidal surfaces in Euclidean space and Minkowski space. 2012. 80 f. Dissertação (Mestrado em Ciências Exatas e da Terra) - Universidade Federal de Goiás, Goiânia, 2012.