Zobrazeno 1 - 10
of 1 173
pro vyhledávání: '"53B20"'
Autor:
López, Rafael
We give necessary and sufficient conditions on the curvature and the torsion of a regular curve of the space forms $\h^3$ and $\s^3$ to be contained in a totally umbilical surface. In case that the curve has constant torsion, we obtain the value of t
Externí odkaz:
http://arxiv.org/abs/2411.19501
Autor:
Marugame, Taiji
We give an explicit description of the Fefferman metric for twistor CR manifolds in terms of Riemannian structures on the base conformal $3$-manifolds. As an application, we prove that chains and null chains on twistor CR manifolds project to conform
Externí odkaz:
http://arxiv.org/abs/2411.18961
In this paper, we introduce a broad class of metrics on the slit tangent bundle of Finsler manifolds, termed \emph{$F$-natural metrics}. These metrics parallel the well-established $g$-natural metrics on the tangent bundles of Riemannian manifolds an
Externí odkaz:
http://arxiv.org/abs/2411.06580
Autor:
Csima, Géza, Szirmai, Jenő
In the present paper we deal with non-constant curvature Thurston geometries \cite{M97}, \cite{S}, \cite{Sz22-3},\cite{W06}. We define and determine the generalized trans\-lation-like Apollonius surfaces and thus also bisector surfaces as a special c
Externí odkaz:
http://arxiv.org/abs/2410.22955
The paper surveys open problems and questions related to interplay between the theory of integrable systems with infinitely and finitely many degrees of freedom and Nijenhuis geometry. This text has grown out from preparatory materials for the series
Externí odkaz:
http://arxiv.org/abs/2410.04276
The main object of the paper is a recently discovered family of multicomponent integrable systems of partial differential equations, whose particular cases include many well-known equations such as the Korteweg--de Vries, coupled KdV, Harry Dym, coup
Externí odkaz:
http://arxiv.org/abs/2410.00895
Autor:
Dokuzova, Iva
A 3-dimensional Riemannian manifold equipped with a tensor structure of type $(1,1)$, whose fourth power is the identity, is considered. This structure acts as an isometry with respect to the metric. A Riemannian almost product manifold associated wi
Externí odkaz:
http://arxiv.org/abs/2409.19626
Autor:
Raffaelli, Matteo
Given a smooth $s$-dimensional submanifold $S$ of $\mathbb{R}^{m+c}$ and a smooth distribution $\mathcal{D}\supset TS$ of rank $m$ along $S$, we study the following geometric Cauchy problem: to find an $m$-dimensional rank-$s$ submanifold $M$ of $\ma
Externí odkaz:
http://arxiv.org/abs/2409.04358
Autor:
Yadav, J., Shanker, G.
In this paper, we introduce Clairaut warped product Riemannian maps. To study these kind of maps, first, we find the condition of geodesic of a regular curve. Then we obtain the conditions for a warped product Riemannian map to be Clairaut warped pro
Externí odkaz:
http://arxiv.org/abs/2408.13446
Metallic structures, introduced by V. de Spinadel in 2002, opened a new avenue in differential geometry. Building upon this concept, C. E. Hre\c{t}canu and M. Crasmareanu laid the foundation for metallic Riemannian manifolds in 2013. The field's rich
Externí odkaz:
http://arxiv.org/abs/2408.05318