Geodesic
Application of the Hopf Maximum Principle to the Theory of Geodesic Mappings
Kragujevac Journal of Mathematics, Tome 45 (2021) no. 5, p. 781

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

In the present paper we consider some applications the Hopf maximum principle and its generalization to the classical theory of geodesic mappings. As a result, a series of classical theorems on geodesic mappings become consequences of our statements which we shall prove in the present paper.
Classification : 53C20, 53B20 53C21, 53C24
Keywords: Riemannian manifold, Einstein manifold, geodesic mapping, second order elliptic differential operator on symmetric tensors, Hopf maximum principle, vanishing theorems 
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     author = {Sergey Stepanov and Josef Mike\v{s}},
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Sergey Stepanov; Josef Mikeš. Application of the Hopf Maximum Principle to the Theory of Geodesic Mappings. Kragujevac Journal of Mathematics, Tome 45 (2021) no. 5, p. 781 . http://geodesic.mathdoc.fr/item/KJM_2021_45_5_a8/