Positively curved 10-manifolds with T3-symmetry

We show that closed, simply connected, positively curved 10-manifolds with effective, isometric actions of three-dimensional tori are homotopy spheres or homotopy complex projective spaces.

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Publication Details

Journal
Communications in Contemporary Mathematics
Published
2024-12-20
DOI
https://doi.org/10.1142/s021919972550018x
Primary Topic
Porphyrin and Phthalocyanine Chemistry
Type
article
Field-Weighted Citation Impact
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article

Positively curved 10-manifolds with T3-symmetry

Michael Wiemeler, Anusha M. Krishnan
Communications in Contemporary Mathematics
Porphyrin and Phthalocyanine Chemistry
article

Positively curved 10-manifolds with T3-symmetry

Michael Wiemeler, Anusha M. Krishnan
article en

Abstract

We show that closed, simply connected, positively curved 10-manifolds with effective, isometric actions of three-dimensional tori are homotopy spheres or homotopy complex projective spaces.

Communications in Contemporary MathematicsVol. 27(10)
University of Münster (DE)
Openalex Percentile: Top 85%
Porphyrin and Phthalocyanine Chemistry
DOISourceOpenAlex
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Positively curved 10-manifolds with T3-symmetry — Michael Wiemeler, Anusha M. Krishnan · Communications in Contemporary Mathematics (2024) | TGRS Research Map | TGRS