A note on the Petersen-Wilhelm conjecture-Reference-Cited by-同舟云学术

A note on the Petersen-Wilhelm conjecture

Published:2018-07-05 Issue:10 Volume:146 Page:4447-4458
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

González-Álvaro David,Radeschi Marco

Abstract

In this note we consider submersions from compact manifolds, homotopy equivalent to the Eschenburg or Bazaikin spaces of positive curvature. We show that if the submersion is nontrivial, the dimension of the base is greater than the dimension of the fiber. Together with previous results, this proves the Petersen-Wilhelm conjecture for all the known compact manifolds with positive curvature.

Funder

Ministerio de Economía y Competitividad

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

https://www.ams.org/proc/2018-146-10/S0002-9939-2018-14070-8/proc14070_AM.pdf

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