Sweeping out sectional curvature

D. Panov; A. Petrunin

Sweeping out sectional curvature

D. Panov, A. Petrunin

Research output: Working paper/Preprint › Preprint

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Abstract

We observe that the maximal open set of constant curvature k in a Riemannian manifold with curvature bounded below or above by k has a convexity type property, which we call "two-convexity". This statement is used to prove a number of rigidity statements in comparison geometry.

Original language	English
Publication status	Published - 19 Jun 2011

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https://arxiv.org/abs/1106.3736

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Sweeping out sectional curvature
Panov, D. & Petrunin, A., 30 Jan 2014, In: Geometry & Topology. 18, 2, p. 617-631
Research output: Contribution to journal › Article › peer-review

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3 Citations (Scopus)

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AB - We observe that the maximal open set of constant curvature k in a Riemannian manifold with curvature bounded below or above by k has a convexity type property, which we call "two-convexity". This statement is used to prove a number of rigidity statements in comparison geometry.

M3 - Preprint

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Sweeping out sectional curvature

Abstract

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Sweeping out sectional curvature

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