On the gradient flows on Finsler manifolds

DOI10.1142/S0129167X17500070zbMath1360.58004arXiv1502.02146OpenAlexW2963366063MaRDI QIDQ2970198

Neda Shojaee, Morteza Mirmohammad Rezaii

Publication date: 28 March 2017

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.02146

zbMATH Keywords

variational problemcurvature functionalgradient flowFinsler geometryFinsler manifoldBerwald-type connectionAkbar-Zadeh curvature functionalFinslerian functionalspace of Finsler metricsthe Berger-Ebin theorem

Mathematics Subject Classification ID

Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Critical metrics (58E11) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Manifolds of metrics (especially Riemannian) (58D17)

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On the conformal scalar curvature equations on Finsler manifolds

Cites Work

• Semilinear elliptic equations for beginners. Existence results via the variational approach
• Detection of shape deformities using Yamabe flow and Beltrami coefficients
• Ricci deformation of the metric on a Riemannian manifold
• Three-manifolds with positive Ricci curvature
• Conformal vector fields on Finsler spaces
• Spaces of Riemannian metrics
• Some decompositions of the space of symmetric tensors on a Riemannian manifolds
• The Manifold of Conformally Equivalent Metrics
• Harmonic Mappings of Riemannian Manifolds
• Generalized Einstein manifolds
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