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

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DOI: 10.46793/KgJMat2105.781S


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.


Riemannian manifold, Einstein manifold, geodesic mapping, second order elliptic differential operator on symmetric tensors, Hopf maximum principle, vanishing theorems.


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