Comparison theorems in Finsler geometry and their applications

DOI10.1007/s00208-006-0031-9zbMath1111.53060arXivmath/0512633OpenAlexW2070338836MaRDI QIDQ862371

N. E. Zubov

Publication date: 24 January 2007

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0512633

zbMATH Keywords

comparison theoremfundamental groupFinsler manifoldvolume comparisonHessian comparison,Laplacian comparison

Mathematics Subject Classification ID

Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Local differential geometry of Finsler spaces and generalizations (areal metrics) (53B40)

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Cites Work

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• On Finsler geometry of submanifolds
• A new Laplacian comparison theorem and the estimate of eigenvalues
• Volume comparison and its applications in Riemann-Finsler geometry
• A sphere theorem for non-reversible Finsler metrics
• Geometry of harmonic maps
• Ricci curvature and fundamental group
• A note on curvature and fundamental group
• An upper bound to the spectrum of \(\Delta\) on a manifold of negative curvature
• FINSLER LAPLACIANS AND MINIMAL-ENERGY MAPS
• On the growth of fundamental groups of nonpositive curvature manifolds

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