Results 41 to 50 of about 2,241,688 (305)
The geometry of Gauss map and shape operator in simply isotropic and pseudo-isotropic spaces [PDF]
Journal of Geometry, 2018 In this work, we are interested in the differential geometry of surfaces in simply isotropic $${\mathbb {I}}^3$$I3 and pseudo-isotropic $${\mathbb {I}}_{\mathrm {p}}^3$$Ip3 spaces, which consists of the study of $${\mathbb {R}}^3$$R3 equipped with a ...
Luiz C. B. da Silva
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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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Gauss map of the skew mean curvature flow [PDF]
, 2017 The skew mean curvature flow (SMCF) is a natural generalization of the famous vortex filament equation. In this note, we show that the Gauss map of the SMCF satisfies a Schrodinger flow equation.
Chong Song
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The gauss map on a class of interval translation mappings [PDF]
Israel Journal of Mathematics, 2003 We study the dynamics of a class of interval translation map on three intervals. We show that in this class the typical ITM is of finite type (reduce to an interval exchange transformation) and that the complement contains a Cantor set. We relate our maps to substitution subshifts.
Bruin, H, Troubetzkoy, S
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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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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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The Gauss map and secants of the Kummer variety [PDF]
Bulletin of the London Mathematical Society, 2017 Fay's trisecant formula shows that the Kummer variety of the Jacobian of a smooth projective curve has a four‐dimensional family of trisecant lines. We study when these lines intersect the theta divisor of the Jacobian and prove that the Gauss map of the
Robert Auffarth +2 more
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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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The Gauss Map and Nonholomorphic Harmonic Maps [PDF]
Proceedings of the American Mathematical Society, 1983 J. Eells and J. C. Wood [ 2 ] gave the fundamental method of construction of certain harmonic maps from Riemann surfaces to complex projective spaces. In this paper, we will construct nonholomorphic harmonic maps of Kaehler manifolds to complex Grassmann manifolds as the Gauss maps for ...
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