A globalization for non-complete but geodesic spaces

Anton Petrunin

doi:10.1007/s00208-015-1295-8

A globalization for non-complete but geodesic spaces

Anton Petrunin

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

12 Scopus citations

Abstract

I show that if a geodesic space has curvature bounded below locally in the sense of Alexandrov then its completion has the same lower curvature bound globally.

Original language	English (US)
Pages (from-to)	387-393
Number of pages	7
Journal	Mathematische Annalen
Volume	366
Issue number	1-2
DOIs	https://doi.org/10.1007/s00208-015-1295-8
State	Published - Oct 1 2016

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1007/s00208-015-1295-8

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title = "A globalization for non-complete but geodesic spaces",

abstract = "I show that if a geodesic space has curvature bounded below locally in the sense of Alexandrov then its completion has the same lower curvature bound globally.",

author = "Anton Petrunin",

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AB - I show that if a geodesic space has curvature bounded below locally in the sense of Alexandrov then its completion has the same lower curvature bound globally.

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JF - Mathematische Annalen

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A globalization for non-complete but geodesic spaces

Abstract

All Science Journal Classification (ASJC) codes

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