Application of the Hopf Maximum Principle to the Theory of Geodesic Mappings

DOI10.46793/KGJMAT2105.781SzbMath1499.53188OpenAlexW4253945280MaRDI QIDQ5035240

Josef Mikeš, Sergey E. Stepanov

Publication date: 21 February 2022

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

Full work available at URL: http://elib.mi.sanu.ac.rs/files/journals/kjm/67/9_eng.html

zbMATH Keywords

Riemannian manifoldEinstein manifoldgeodesic mappingvanishing theoremsHopf maximum principlesecond-order elliptic differential operator on symmetric tensors

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Rigidity results (53C24) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Local Riemannian geometry (53B20)

Cites Work

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• \(L^ p\) and mean value properties of subharmonic functions on Riemannian manifolds
• An extension of E. Hopf's maximum principle with an application to Riemannian geometry
• A comparison theorem on the Ricci curvature in projective geometry
• Geodesic mappings of certain special Riemannian spaces
• Volume and projective equivalence between Riemannian manifolds
• Geodesic mappings on compact riemannian manifolds with conditions on sectional curvature
• Curvature and Betti Numbers. (AM-32)

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