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EQUIMORPHISMS OF RIEMANNIAN MANIFOLDS

Equimorphisms of Riemannian manifolds

descriptionPublicationkeyboard_double_arrow_right Article 30 Jun 1972Publisher:Steklov Mathematical InstituteJournal:Mathematics of the USSR-Izvestiya, volume 6, pages 518-528 (issn: 0025-5726,

Authors: È A Loginov; V A Efremovič; E S Tihomirova;

doi: 10.1070/im1972v006n03abeh001887

EQUIMORPHISMS OF RIEMANNIAN MANIFOLDS

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Abstract

We establish a sufficient condition for stability of Riemannian manifolds, i.e. a property according to which every equimorphism of this manifold can be topologically extended to its absolute.

Keywords

Extensions of spaces (compactifications, supercompactifications, completions, etc.), Global Riemannian geometry, including pinching

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