Recent progress on homogeneous Finsler spaces with positive curvature
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Publication:1695704
DOI10.1007/s40879-017-0148-2zbMath1381.53140arXiv1612.08372OpenAlexW2566637394MaRDI QIDQ1695704
Publication date: 8 February 2018
Published in: European Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1612.08372
Differential geometry of homogeneous manifolds (53C30) Semisimple Lie groups and their representations (22E46) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60)
Related Items (4)
The symmetric space, strong isotropy irreducibility and equigeodesic properties ⋮ Moving planes, Jacobi curves and the dynamical approach to Finsler geometry ⋮ Unnamed Item ⋮ Geodesic orbit Finsler spaces with \(K \geq 0\) and the (FP) condition
Cites Work
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- Curvatures of homogeneous Randers spaces
- Homogeneous Randers spaces with isotropic S-curvature and positive flag curvature
- Homogeneous \((\alpha, \beta)\)-spaces with positive flag curvature and vanishing S-curvature
- Invariant Finsler metrics on polar homogeneous spaces
- \(\mathrm{Sp}(2) / \mathrm{U}(1)\) and a positive curvature problem
- Homogeneous Finsler spaces of negative curvature
- Positively curved homogeneous metrics on spheres
- Homogeneous Einstein-Randers spaces of negative Ricci curvature
- Homogeneous Riemannian manifolds of negative curvature
- Volume comparison and its applications in Riemann-Finsler geometry
- Normal homogeneous Finsler spaces
- \(\delta\)-homogeneity in Finsler geometry and the positive curvature problem
- Revisiting homogeneous spaces with positive curvature
- Homogeneous Finsler spaces and the flag-wise positively curved condition
- Zermelo navigation on Riemannian manifolds
- Les variétés riemanniennes homogenes simplement connexes de dimension impaire à courbure strictement positive
- On the fundamental equations of homogeneous Finsler spaces
- Examples of flag-wise positively curved spaces
- Towards the classification of odd-dimensional homogeneous reversible Finsler spaces with positive flag curvature
- Reversible homogeneous Finsler metrics with positive flag curvature
- Positively curved manifolds with symmetry
- Compact homogeneous Riemannian manifolds with strictly positive curvature
- Transformation groups of spheres
- Isometric submersions of Finsler manifolds
- Homogeneous Finsler Spaces
- An infinite family of distinct 7-manifolds admitting positively curved Riemannian structures
- The normal homogeneous space (𝖲𝖴(3)×𝖲𝖮(3))/𝖴^{∙}(2) has positive sectional curvature
- Even dimensional homogeneous Finsler spaces with positive flag curvature
- Some remarks about Lie groups transitive on spheres and tori
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