Results 21 to 30 of about 2,241,688 (305)
Spheres and Tori as Elliptic Linear Weingarten Surfaces
Mathematics, 2022 The linear Weingarten condition with ellipticity for the mean curvature and the extrinsic Gaussian curvature on a surface in the three-sphere can define a Riemannian metric which is called the elliptic linear Weingarten metric.
Dong-Soo Kim, Young Ho Kim, Jinhua Qian
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Canal surfaces with generalized 1-type Gauss map
, 2021 This work considers a kind of classification of canal surfaces in terms of their Gauss map G in Euclidean 3-space. We introduce the notion of generalized 1-type Gauss map for a submanifold that satisfies ∆G = fG+gC, where ∆ is the Laplace operator, C is ...
J. Qian, Mengfei Su, Young Ho Kim
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SUBMANIFOLDS WITH BIHARMONIC GAUSS MAP [PDF]
International Journal of Mathematics, 2010 We generalize the Ruh–Vilms problem by characterizing the submanifolds in Euclidean spaces with proper biharmonic Gauss map and we construct examples of such hypersurfaces.
BALMUS A, MONTALDO, STEFANO, ONICIUC C.
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SINGULARITIES OF HYPERBOLIC GAUSS MAPS [PDF]
Proceedings of the London Mathematical Society, 2003 In this paper we adopt the hyperboloid in Minkowski space as the model of hyperbolic space. We define the hyperbolic Gauss map and the hyperbolic Gauss indicatrix of a hypersurface in hyperbolic space. The hyperbolic Gauss map has been introduced by Ch. Epstein [J. Reine Angew. Math.
Izumiya, S., Pei, D-H, Sano, T.
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Invariant surfaces with coordinate finite-type Gauss map in simply isotropic space [PDF]
, 2020 We consider the extrinsic geometry of surfaces in simply isotropic space, a three-dimensional space equipped with a rank 2 metric of index zero. Since the metric is degenerate, a surface normal cannot be unequivocally defined based on metric properties ...
Alev Kelleci, Luiz C. B. da Silva
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Spherical Ruled Surfaces in S3 Characterized by the Spherical Gauss Map
Mathematics, 2020 The Laplace operator on a Riemannian manifold plays an important role with eigenvalue problems and the spectral theory. Extending such an eigenvalue problem of smooth maps including the Gauss map, the notion of finite-type was introduced.
Young Ho Kim, Sun Mi Jung
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IEEE Access, 2023 A “smart city” sends data from many sensors to a cloud server for local authorities and the public to connect. Smart city residents communicate mostly through images and videos.
Bharti Ahuja +4 more
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Emergence of order in dynamical phases in coupled fractional gauss map [PDF]
Chaos, Solitons & Fractals, 2020 Dynamical behaviour of discrete dynamical systems has been investigated extensively in the past few decades. However, in several applications, long term memory plays an important role in the evolution of dynamical variables.
Sumit S. Pakhare +4 more
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On Separable Higher Gauss Maps [PDF]
Michigan Mathematical Journal, 2019 We study the $m$-th Gauss map in the sense of F.~L.~Zak of a projective variety $X \subset \mathbb{P}^N$ over an algebraically closed field in any characteristic. For all integer $m$ with $n:=\dim(X) \leq m < N$, we show that the contact locus on $X$ of a general tangent $m$-plane is a linear variety if the $m$-th Gauss map is separable.
Furukawa, Katsuhisa, Ito, Atsushi
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Surfaces of Revolution and Canal Surfaces with Generalized Cheng–Yau 1-Type Gauss Maps
Mathematics, 2020 In the present work, the notion of generalized Cheng–Yau 1-type Gauss map is proposed, which is similar to the idea of generalized 1-type Gauss maps. Based on this concept, the surfaces of revolution and the canal surfaces in the Euclidean three-space ...
Jinhua Qian +3 more
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