Results 11 to 20 of about 114,046 (322)
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
doaj +1 more source
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
openaire +3 more sources
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
doaj +1 more source
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
doaj +1 more source
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.
openaire +3 more sources
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
doaj +1 more source
Chaotic Evolutionary Programming for an Engineering Optimization Problem
Applied Sciences, 2021 The aim of the current paper is to present a mimetic algorithm called the chaotic evolutionary programming Powell’s pattern search (CEPPS) algorithm for the solution of the multi-fuel economic load dispatch problem.
Nirbhow Jap Singh +5 more
doaj +1 more source
Connection Science, 2023 The work presented here is a high dimensional color image encryption architecture (HDIEA) founded on the Lorenz-Gauss-Logistic (LGL) encryption algorithm.
Bharti Ahuja +5 more
doaj +1 more source
Hypersurfaces with Generalized 1-Type Gauss Maps
Mathematics, 2018 In this paper, we study submanifolds in a Euclidean space with a generalized 1-type Gauss map. The Gauss map, G, of a submanifold in the n-dimensional Euclidean space, En, is said to be of generalized 1-type if, for the Laplace operator, Δ, on the ...
Dae Won Yoon +3 more
doaj +1 more source
The Gauss map of minimal surfaces in the Heisenberg group [PDF]
, 2010 We study the Gauss map of minimal surfaces in the Heisenberg group $\mathrm{Nil}_3$ endowed with a left-invariant Riemannian metric. We prove that the Gauss map of a nowhere vertical minimal surface is harmonic into the hyperbolic plane $\mathbb{H}^2 ...
Daniel, Benoît
core +4 more sources