FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2010, VOLUME 16, NUMBER 2, PAGES 93-101

Geodesic uniqueness in the whole of some generally recurrent Riemannian spaces

H. N. Sinyukova

Abstract

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In this paper, we present a detailed proofs of two theorems of geodesic uniqueness in the whole of compact, in some sense generally recurrent, Riemannian spaces with a positive defined metric. Our studies are based on the H. Hopf theorem.

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