Corro, Diego ORCID: 0000-0002-1114-0071, Nunez-Zimbron, Jesus and Zarei, Masoumeh (2022). Torus Actions on Alexandrov 4-Spaces. J. Geom. Anal., 32 (8). NEW YORK: SPRINGER. ISSN 1559-002X

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Abstract

We obtain an equivariant classification for orientable, closed, four-dimensional Alexandrov spaces admitting an isometric torus action. This generalizes the equivariant classification of Orlik and Raymond of closed four-dimensional manifolds with torus actions. Moreover, we show that such Alexandrov spaces are equivariantly homeomorphic to 4-dimensional Riemannian orbifolds with isometric T-2-actions. We also obtain a partial homeomorphism classification.

Item Type: Journal Article
Creators:
CreatorsEmailORCIDORCID Put Code
Corro, DiegoUNSPECIFIEDorcid.org/0000-0002-1114-0071UNSPECIFIED
Nunez-Zimbron, JesusUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Zarei, MasoumehUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
URN: urn:nbn:de:hbz:38-685859
DOI: 10.1007/s12220-022-00935-x
Journal or Publication Title: J. Geom. Anal.
Volume: 32
Number: 8
Date: 2022
Publisher: SPRINGER
Place of Publication: NEW YORK
ISSN: 1559-002X
Language: English
Faculty: Unspecified
Divisions: Unspecified
Subjects: no entry
Uncontrolled Keywords:
KeywordsLanguage
POSITIVELY CURVED MANIFOLDS; COHOMOGENEITY ONE MANIFOLDS; ISOMETRY GROUPS; 4-MANIFOLDS; CURVATURE; SYMMETRY; TOPOLOGY; SPACESMultiple languages
MathematicsMultiple languages
URI: http://kups.ub.uni-koeln.de/id/eprint/68585

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