Almost isotropy-maximal manifolds of non-negative curvature
Dong, Zheting Escher, Christine Searle, Catherine
Dong, Zheting
Escher, Christine
Searle, Catherine
Citations
Altmetric:
Other Names
Location
Time Period
Advisors
Original Date
Digitization Date
Issue Date
2024
Type
Article
Genre
Keywords
Subjects (LCSH)
Citation
Dong, Z., Escher, C., Searle, C. Almost isotropy-maximal manifolds of non-negative curvature. (2024). Transactions of the American Mathematical Society, 377 (7), pp. 4621-4645. DOI: 10.1090/tran/9100
Abstract
We extend the equivariant classification results of Escher and Searle for closed, simply connected, Riemannian n-manifolds with non-negative sectional curvature admitting isometric isotropy-maximal torus actions to the class of such manifolds admitting isometric strictly almost isotropy-maximal torus actions. In particular, we prove that any such manifold is equivariantly diffeomorphic to the free, linear quotient by a torus of a product of spheres of dimensions greater than or equal to three. © 2024 American Mathematical Society.
Table of Contents
Description
Publisher
American Mathematical Society
Journal
Transactions of the American Mathematical Society
Book Title
Series
Digital Collection
Finding Aid URL
Use and Reproduction
Archival Collection
PubMed ID
ISSN
0002-9947