Results 21 to 30 of about 114,046 (322)
Classification Theorems of Ruled Surfaces in Minkowski Three-Space
Mathematics, 2018 By generalizing the notion of the pointwise 1-type Gauss map, the generalized 1-type Gauss map has been recently introduced. Without any assumption, we classified all possible ruled surfaces with the generalized 1-type Gauss map in a 3-dimensional ...
Miekyung Choi, Young Ho Kim
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Isometric immersions with congruent Gauss maps [PDF]
Proceedings of the American Mathematical Society, 1990 A characterization of pairs of isometric immersions which have congruent Gauss maps is given.
Moore, John Douglas +1 more
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Generalized Helical Hypersurface with Space-like Axis in Minkowski 5-Space
Universe, 2023 We introduce the generalized helical hypersurface having a space-like axis in five-dimensional Minkowski space. We compute the first and second fundamental form matrices, Gauss map, and shape operator matrix of the hypersurface.
Erhan Güler
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The hypersurfaces with conformal normal Gauss map in Hn+1 and S1n+1
Anais da Academia Brasileira de Ciências, 2008 In this paper, we introduce the fourth fundamental forms for hypersurfaces in Hn+1 and space-like hypersurfaces in S1n+1, and discuss the conformality of the normal Gauss map of the hypersurfaces in Hn+1 and S1n+1.
Shuguo Shi
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Stable Plane-Gauss Maps on Closed Orientable Surfaces
Trends in Computational and Applied Mathematics, 2023 The aim of this paper is to study the couple of stable plane Gauss maps f = (f2, f3): M→ R^2×S^2 from a global point of view, where M is a smooth closed orientable surface, f2 is a projection and f3 is Gauss map.
C. M. de Jesus +2 more
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A note on surfaces with prescribed oriented Euclidean Gauss map
International Journal of Mathematics and Mathematical Sciences, 2005 We present another proof of a theorem due to Hoffman and Osserman in Euclidean space concerning the determination of a conformal immersion by its Gauss map.
Ricardo Sa Earp, Eric Toubiana
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Classifications of Canal Surfaces with the Gauss Maps in Minkowski 3-Space
Mathematics, 2020 In this work, we study the canal surfaces foliated by pseudo spheres S12 along a Frenet curve in terms of their Gauss maps in Minkowski 3-space. Such kind of surfaces with pointwise 1-type Gauss maps are classified completely.
Jinhua Qian +3 more
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Gauss‐Prym maps on Enriques surfaces
Mathematische Nachrichten, 2023 AbstractWe prove that the kth Gaussian map is surjective on a polarized unnodal Enriques surface with . In particular, as a consequence, when , we obtain the surjectivity of the kth Gauss‐Prym map , with , on smooth hyperplane sections . In case , it is sufficient to ask .
Dario Faro, Irene Spelta
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Ramification estimates for the hyperbolic Gauss map [PDF]
, 2008 We give the best possible upper bound on the number of exceptional values and the totally ramified value number of the hyperbolic Gauss map for pseudo-algebraic constant mean curvature one surfaces in the hyperbolic three-space and some partial results ...
Kawakami, Yu
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