Non-hyperbolic closed geodesics on positively curved Finsler spheres
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 ...
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100 years of mathematical cosmology: Models, theories, and problems, Part A. [PDF]
Cotsakis S, Yefremov AP.
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Two elliptic closed geodesics on positively curved Finsler spheres
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 ...
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On the minimal number of closed geodesics on positively curved Finsler spheres
Abstract In this paper, we prove that, for every Finsler metric on S n
Duan, Huagui, Xie, Dong
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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
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Euclidean rectifiability of sub-Finsler spheres in free-Carnot groups of step 2
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
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Bending of Thin Liquid Crystal Elastomer under Irradiation of Visible Light: Finsler Geometry Modeling. [PDF]
Koibuchi H.
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Finsler Geometry Modeling of Phase Separation in Multi-Component Membranes. [PDF]
Usui S, Koibuchi H.
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Optimal Paths for Variants of the 2D and 3D Reeds-Shepp Car with Applications in Image Analysis. [PDF]
Duits R +3 more
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Mathematical Modeling and Simulations for Large-Strain J-Shaped Diagrams of Soft Biological Materials. [PDF]
Mitsuhashi K, Ghosh S, Koibuchi H.
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