Results 61 to 70 of about 130 (118)

Non-hyperbolic closed geodesics on positively curved Finsler spheres

open access: yesJournal of Functional Analysis, 2015
Revised submission. arXiv admin note: substantial text overlap with arXiv:1504.00245; text overlap with arXiv:0705.4190, arXiv:1112.5234, arXiv:0909.3566, arXiv:0812.0039 by other ...
openaire   +2 more sources

100 years of mathematical cosmology: Models, theories, and problems, Part A. [PDF]

open access: yesPhilos Trans A Math Phys Eng Sci, 2022
Cotsakis S, Yefremov AP.
europepmc   +1 more source

Two elliptic closed geodesics on positively curved Finsler spheres

open access: yesJournal of Differential Equations, 2016
In this paper, we prove that for every Finsler $n$-dimensional sphere $(S^{n},F)$ with reversibility $\lm$ and flag curvature $K$ satisfying $\left(\frac{\lm}{1+\lm}\right ...
openaire   +2 more sources

On the minimal number of closed geodesics on positively curved Finsler spheres

open access: yesJournal für die reine und angewandte Mathematik (Crelles Journal)
Abstract In this paper, we prove that, for every Finsler metric on S n
Duan, Huagui, Xie, Dong
openaire   +2 more sources

The combinatorial structure of the unit tangent spheres and cotangent spheres of Teichm{ü}ller space with Thurston's Finsler metric

open access: yes
We prove several new results on the combinatorial structures of the unit spheres of the norms induced by Thurston's metric on the tangent and cotangent spaces of the Teichm{ü}ller space of a closed surface of negative Euler characteristic. These results include a formula for the dimension of every face of a unit sphere in the tangent space in terms of ...
Ohshika, Ken'Ichi   +1 more
openaire   +4 more sources

Euclidean rectifiability of sub-Finsler spheres in free-Carnot groups of step 2

open access: yesIllinois Journal of Mathematics
We consider 2-step free-Carnot groups equipped with sub-Finsler distances. We prove that the metric spheres are codimension-one rectifiable from the Euclidean viewpoint. The result is obtained by studying how the Lipschitz constant for the distance function behaves near abnormal geodesics.
Donne, Enrico Le, Nalon, Luca
openaire   +2 more sources

Optimal Paths for Variants of the 2D and 3D Reeds-Shepp Car with Applications in Image Analysis. [PDF]

open access: yesJ Math Imaging Vis, 2018
Duits R   +3 more
europepmc   +1 more source

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