Smooth classification of locally standard T^k-manifolds

Wiemeler, Michael

Research article (journal) | Peer reviewed

Abstract

We study locally standard T^k-manifolds M. In particular, we study the case where there is a continuous section to the orbit map π:M→M/T. We give a classification of T^k-manifolds satisfying these conditions up to equivariant diffeomorphism.

Details about the publication

JournalOsaka Journal of Mathematics
Volume59
Issue3
Page range549-557
StatusPublished
Release year2022
Link to the full texthttps://projecteuclid.org/journals/osaka-journal-of-mathematics/volume-59/issue-3/Smooth-classification-of-locally-standard-Tk-manifolds/5454ojm.full
Keywordslocally standard torus manifolds; diffeomorphism classification

Authors from the University of Münster

Wiemeler, Michael
Professur für Differentialgeometrie (Prof. Wilking)