Results 11 to 20 of about 2,241,688 (305)
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 +2 more
exaly +2 more sources
5D Gauss Map Perspective to Image Encryption with Transfer Learning Validation
Applied Sciences, 2022 Encryption of visual data is a requirement of the modern day. This is obvious and greatly required due to widespread use of digital communication mediums, their wide range of applications, and phishing activities.
Sharad Salunke +4 more
doaj +2 more sources
The Gauss Map and the Third Laplace-Beltrami Operator of the Rotational Hypersurface in 4-Space
Symmetry, 2018 We study and examine the rotational hypersurface and its Gauss map in Euclidean four-space E 4 . We calculate the Gauss map, the mean curvature and the Gaussian curvature of the rotational hypersurface and obtain some results.
Erhan GÜLER +2 more
exaly +2 more sources
On spherical submanifolds with finite type spherical Gauss map
Advances in Geometry, 2016 Chen and Lue (2007) initiated the study of spherical submanifolds with nite type spherical Gauss map. In this paper, we rstly prove that a submanifold Mn of the unit sphere Sm−1 has non-mass-symmetric 1-type spherical Gauss map if and only ifMn is an ...
Uğur Dursun
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AIMS Mathematics, 2022 In this study, the ruled developable surfaces with pointwise 1-type Gauss map of Frenet-type framed base (Ftfb) curve are introduced in Euclidean 3-space.
Yanlin Li +3 more
semanticscholar +1 more source
On the Gauss map of equivariant immersions in hyperbolic space [PDF]
Journal of Topology, 2020 Given an oriented immersed hypersurface in hyperbolic space Hn+1$\mathbb {H}^{n+1}$ , its Gauss map is defined with values in the space of oriented geodesics of Hn+1$\mathbb {H}^{n+1}$ , which is endowed with a natural para‐Kähler structure.
Christian El Emam, Andrea Seppi
semanticscholar +1 more source
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
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
doaj +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
openaire +3 more sources