A class of Finsler measure spaces of constant weighted Ricci curvature

DOI10.55730/1300-0098.3179zbMath1504.53085OpenAlexW4285269315MaRDI QIDQ5102206

Xiaohuan Mo, Ling Zhu, Song-Ting Yin

Publication date: 6 September 2022

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

Full work available at URL: https://doi.org/10.55730/1300-0098.3179

zbMATH Keywords

eigenvalueeigenfunctionFinsler measure spaceconstant weighted Ricci curvatureFinsler-Gauss soliton

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Universality and renormalization of dynamical systems (37E20)

Cites Work

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• On complete gradient shrinking Ricci solitons
• Comparison theorems on Finsler manifolds with weighted Ricci curvature bounded below
• Moser inequalities in Gauss space
• Finsler interpolation inequalities
• Volume comparison and its applications in Riemann-Finsler geometry
• Some results on complete Finsler measure spaces
• Weighted projective Ricci curvature in Finsler geometry
• The dimensional Brunn-Minkowski inequality in Gauss space
• Bochner-Weitzenböck formula and Li-Yau estimates on Finsler manifolds
• Eigenvalues and eigenfunctions of metric measure manifolds
• Eigenvalues of the drifted Laplacian on complete metric measure spaces
• Recent Progress on Ricci Solitons
• Conjugate radius and positive scalar curvature

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