Zobrazeno 1 - 10
of 106
pro vyhledávání: '"Sabau, S."'
We construct a concrete example of constant Gauss curvature $K = 1$ on the 2-sphere having all geodesics closed and of same length.
Externí odkaz:
http://arxiv.org/abs/2102.00604
We show how to construct new Finsler metrics, in two and three dimensions, whose indicatrices are pedal curves or pedal surfaces of some other curves or surfaces. These Finsler metrics are generalizations of the famous slope metric, also called Matsu
Externí odkaz:
http://arxiv.org/abs/2101.12469
This paper discusses the geometry of a surface endowed with a slope metric. We obtain necessary and sufficient conditions for any surface of revolution to admit a strongly convex slope metric. Such conditions involve certain inequalities for the deri
Externí odkaz:
http://arxiv.org/abs/2101.12466
The geometry on a slope of a mountain is the geometry of a Finsler metric, called here the {\it slope metric}. We study the existence of globally defined slope metrics on surfaces of revolution as well as the geodesic's behavior. A comparison between
Externí odkaz:
http://arxiv.org/abs/1811.02123
In this paper, we study the geometry of the manifolds of geodesics of a Zoll surface of positive Gauss curvature, show how these metrics induce Finsler metrics of constant flag curvature and give some explicit constructions.
Externí odkaz:
http://arxiv.org/abs/1809.03138
Publikováno v:
Kyoto J. Math. 50, no. 1 (2010), 165-192
We prove a Gauss-Bonnet type formula for Riemann-Finsler surfaces of non-constant indicatrix volume and with regular piecewise smooth boundary. We give a Hadamard type theorem for N-parallels of a Landsberg surface.
Externí odkaz:
http://arxiv.org/abs/1305.2695
This paper addresses the problem of existence of generalized Landsberg structures on surfaces using the Cartan-K\"ahler Theorem and a Path Geometry approach.
Externí odkaz:
http://arxiv.org/abs/1207.1576
We study the relation between an R-Cartan structure {\alpha} and an (I, J, K)- generalized Finsler structure on a 3-manifold showing the difficulty in finding a general transformation that maps these structures each other. In some particular cases, t
Externí odkaz:
http://arxiv.org/abs/1110.5115
Publikováno v:
Adv. Theor. Math. Phys. 16 (2012) 1145-1196
The Kosambi-Cartan-Chern (KCC) theory represents a powerful mathematical method for the analysis of dynamical systems. In this approach one describes the evolution of a dynamical system in geometric terms, by considering it as a geodesic in a Finsler
Externí odkaz:
http://arxiv.org/abs/1010.5464
Publikováno v:
In Revue de Chirurgie Orthopedique et Traumatologique May 2018 104(3):215-222
