Zobrazeno 1 - 10
of 87
pro vyhledávání: '"51B20"'
Autor:
Ho, Duy
Using suitable convex functions, we construct a new family of flat Minkowski planes whose automorphism groups are at least $3$-dimensional. These planes admit groups of automorphisms isomorphic to the direct product of $\mathbb{R}$ and the connected
Externí odkaz:
http://arxiv.org/abs/2109.07772
Concerning the value distribution problem for generalized Gauss maps, we not only generalize Fujimoto's theorem to complete space-like stationary surfaces in Minkowski spacetime, but also estimate the upper bound of the number of exceptional values w
Externí odkaz:
http://arxiv.org/abs/2109.04779
Publikováno v:
Colloquium Mathematicum 167 (2022) , 93-107
In this paper we introduce the systematic study of invariant functions and equivariant mappings defined on Minkowski space under the action of the Lorentz group. We adapt some known results from the orthogonal group acting on the Euclidean space to t
Externí odkaz:
http://arxiv.org/abs/1904.09001
Autor:
Farnsworth, David L.
Properties and examples of the dual transformation between two planes, which is such that the coordinates of a point in the original plane give the coefficients of a line in the dual plane and the coefficients of a line in the original plane give the
Externí odkaz:
http://arxiv.org/abs/1808.02183
Autor:
Popa, Alexandru
The theory uses methods and language of linear algebra to study nonlinear spaces. These techniques can be used particularly to describe analytic geometry of non-linear elliptic, hyperbolic, De Sitter and Anti de Sitter spaces. The main innovation of
Externí odkaz:
http://arxiv.org/abs/1807.10134
Akademický článek
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Autor:
Gutiérrez, Armando W.
Publikováno v:
Colloquium Mathematicum 155 (2019), 51-65
We give a complete description of the horofunction boundary of finite-dimensional $\ell_p$ spaces for $1\leq p\leq \infty$. We also study the variation norm on $\mathbb{R}^{\mathcal{N}}$, $\mathcal{N}=\{1,...,N\}$, and the corresponding horofunction
Externí odkaz:
http://arxiv.org/abs/1709.03462
Autor:
Vincze, Csaba
Non-transitive subgroups of the orthogonal group play an important role in the non-Euclidean geometry. If $G$ is a closed subgroup in the orthogonal group such that the orbit of a single Euclidean unit vector does not cover the (Euclidean) unit spher
Externí odkaz:
http://arxiv.org/abs/1709.06410
In this paper we study convex caustics in Minkowski billiards. We show that for the Euclidean billiard dynamics in a planar smooth centrally symmetric and strictly convex body $K$, for every convex caustic which $K$ possesses, the "dual" billiard dyn
Externí odkaz:
http://arxiv.org/abs/1707.04007
Autor:
Ekinci, Zehra, Önder, Mehmet
In this paper, we introduce a new approach to non-lightlike curve pairs by using integral curves in Minkowski 3-space. We consider direction curve and donor curve to study non-lightlike curve couples such as involute-evolute curves, Mannheim partner
Externí odkaz:
http://arxiv.org/abs/1704.04978