Universität zu Köln

Kapovitch, Vitali, Lytchak, Alexander and Petrunin, Anton (2021). Metric-measure boundary and geodesic flow on Alexandrov spaces. J. Eur. Math. Soc., 23 (1). S. 29 - 63. BERLIN: EUROPEAN MATHEMATICAL SOC-EMS. ISSN 1435-9855

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Abstract

We relate the existence of many infinite geodesics on Alexandrov spaces to a statement about the average growth of volumes of balls. We deduce that the geodesic flow exists and preserves the Liouville measure in several important cases. The analytic tools we develop have close ties to integral geometry.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Kapovitch, Vitali UNSPECIFIED UNSPECIFIED UNSPECIFIED Lytchak, Alexander UNSPECIFIED UNSPECIFIED UNSPECIFIED Petrunin, Anton UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-586882
DOI:	10.4171/JEMS/1006
Journal or Publication Title:	J. Eur. Math. Soc.
Volume:	23
Number:	1
Page Range:	S. 29 - 63
Date:	2021
Publisher:	EUROPEAN MATHEMATICAL SOC-EMS
Place of Publication:	BERLIN
ISSN:	1435-9855
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language SCALAR CURVATURE Multiple languages Mathematics, Applied; Mathematics Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/58688