Closure of the set of classical Riemannian spaces

DOI10.1007/BF01095905zbMath0729.53057OpenAlexW2032317251WikidataQ115394091 ScholiaQ115394091MaRDI QIDQ806079

Igor G. Nikolaev

Publication date: 1991

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01095905

zbMATH Keywords

convergence with bounded curvatureGromov's convergence theoremnon-regular Riemannian spaces

Mathematics Subject Classification ID

Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Global surface theory (convex surfaces à la A. D. Aleksandrov) (53C45)

Cites Work

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• Sur les variétés riemanniennes pincées juste au-dessous de 1/4
• Differentiable manifolds
• A generalization of Berger’s almost \frac{1}4-pinched manifolds theorem. I
• Gromov’s convergence theorem and its application

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