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Erschienen in:
1988 | OriginalPaper | Buchkapitel
Riemannian Manifolds
verfasst von : Yuriĭ Dmitrievich Burago, Viktor Abramovich Zalgaller
Erschienen in: Geometric Inequalities
Verlag: Springer Berlin Heidelberg
Enthalten in: Professional Book Archive
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In this chapter we assume that the reader is familiar with the general concepts of Riemannian geometry. They may be found in many different books: [Cat], [Eis], [Ras], [BiC], [KoN], [Sp], [Wo], [GKM], [dCar], [GLP], [K 1]. Our notations are closer to [GKM]. The variational theory of geodesics is used in an essential way. Its exposition may be found in the books [Mil 2], [Pos]. Comparison theorems are developed in part in [GKM], [K 1], [ChE], [BiC], [KoN].