Results 11 to 20 of about 2,113,538 (360)
The Gauss map of surfaces in PSL˜2(R) [PDF]
, 2015 We define a Gauss map for surfaces in the universal cover of the Lie group PSL2(R) endowed with a left-invariant Riemannian metric having a 4-dimensional isometry group. This Gauss map is not related to the Lie group structure. We prove that the Gauss
Daniel, Benoit +2 more
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Cheng-Yau operator and Gauss map of surfaces of revolution [PDF]
, 2014 We study the Gauss map G of surfaces of revolution in the 3-dimensional Euclidean space $${{\mathbb {E}}^3}$$E3 with respect to the so-called Cheng–Yau operator $$\square $$□ acting on the functions defined on the surfaces.
Dong-Soo Kim +2 more
openalex +2 more sources
Differential Geometry of 1-type Submanifolds and Submanifolds with 1-type Gauss Map
International Electronic Journal of Geometry, 2023 The theory of finite type submanifolds was introduced by the first author in late 1970s and it has become a useful tool for investigation of submanifolds. Later, the first author and P.
Bang‐Yen Chen +3 more
semanticscholar +1 more source
Pacific Journal of Mathematics, 1989 A construction is given whereby a Riemannian manifold induces a Riemannian metric on the total space of a large class of fibre bundles over it. Using this metric on the appropriate bundles, necessary and sufficient conditions are given for the Gauss map and the spherical Gauss map to be harmonic.
Jensen, Gary R., Rigoli, Marco
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On special developable ruled surfaces with pointwise 1-type Gauss map
Miskolc Mathematical Notes, 2021 . In this paper, some special developable ruled surfaces with point-wise Gauss map are studied. Three different special developable ruled surfaces called rectifying ruled surface, generalized normal ruled surface and osculating type ruled surface are ...
Onur Kaya, M. Önder
semanticscholar +1 more source
Hypersurfaces with pointwise 1-type Gauss map in Lorentz–Minkowski space; 146–161 [PDF]
Proceedings of the Estonian Academy of Sciences, 2009 Hypersurfaces of a LorentzâMinkowski space Ln+1 with pointwise 1-type Gauss map are characterized. We prove that an oriented hypersurface Mq in Ln+1 has pointwise 1-type Gauss map of the first kind if and only if Mq has constant mean curvature and ...
Uğur Dursun
doaj +1 more source
Geometric characterizations of canal surfaces with Frenet center curves
AIMS Mathematics, 2021 In this work, we study the canal surfaces foliated by pseudo hyperbolic spheres $ \mathbb{H}_{0}^{2} $ along a Frenet curve in terms of their Gauss maps in Minkowski 3-space.
Jinhua Qian +3 more
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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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Applied Sciences, 2023 High-dimensional systems are more secure than their lower-order counterparts. However, high security with these complex sets of equations and parameters reduces the transmission system’s processing speed, necessitating the development of an algorithm ...
Sharad Salunke +4 more
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