Sweeping out sectional curvature

Dmitri Panov; Anton Petrunin

doi:10.2140/gt.2014.18.617

Sweeping out sectional curvature

Dmitri Panov, Anton Petrunin

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

We observe that the maximal open set of constant curvature
κ in a Riemannian manifold of curvature ≥ κ or ≤ κ 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
Pages (from-to)	617-631
Journal	Geometry & Topology
Volume	18
Issue number	2
DOIs	https://doi.org/10.2140/gt.2014.18.617
Publication status	Published - 30 Jan 2014

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10.2140/gt.2014.18.617Licence: CC BY

3 Citations
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Sweeping out sectional curvature
Panov, D. & Petrunin, A., 19 Jun 2011.
Research output: Working paper/Preprint › Preprint

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Sweeping out sectional curvature

Abstract

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Sweeping out sectional curvature

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