A note on the Petersen-Wilhelm conjecture
- González-Álvaro, David Departamento de Matemáticas, Universidad Autónoma de Madrid, Spain - Département de Mathématiques, Université de Fribourg, Switzerland
- Radeschi, Marco Department of Mathematics, University of Notre Dame, Notre Dame, USA
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2018
Published in:
- Proceedings of the American Mathematical Society. - 2018, vol. 146, no. 10, p. 4447–4458
English
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.
- Faculty
- Faculté des sciences et de médecine
- Department
- Département de Mathématiques
- Language
-
- English
- Classification
- Mathematics
- License
- License undefined
- Identifiers
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- RERO DOC 323410
- DOI 10.1090/proc/14070
- Persistent URL
- https://folia.unifr.ch/unifr/documents/307247
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