Open Access
July 2022 Smooth classification of locally standard $T^k$-manifolds
Michael Wiemeler
Author Affiliations +
Osaka J. Math. 59(3): 549-557 (July 2022).

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 $\pi:M\rightarrow M/T$. We give a classification of $T^k$-manifolds satisfying these conditions up to equivariant diffeomorphism.

Citation

Download Citation

Michael Wiemeler. "Smooth classification of locally standard $T^k$-manifolds." Osaka J. Math. 59 (3) 549 - 557, July 2022.

Information

Received: 4 December 2020; Revised: 8 April 2021; Published: July 2022
First available in Project Euclid: 23 June 2022

MathSciNet: MR4450678
zbMATH: 1498.57031

Subjects:
Primary: 57R35 , 57S12 , 57S15

Rights: Copyright © 2022 Osaka University and Osaka City University, Departments of Mathematics

Vol.59 • No. 3 • July 2022
Back to Top