On the rank of a product of manifolds

Francisco-Javier Turiel; Arthur G. Wasserman

doi:10.1016/j.crma.2016.08.004

Differential geometry

On the rank of a product of manifolds

Presented by: Étienne Ghys

Francisco-Javier Turiel ¹; Arthur G. Wasserman ²

¹ Geometría y Topología, Facultad de Ciencias, Campus de Teatinos, s/n, 29071, Málaga, Spain
² University of Michigan, Ann Arbor, MI 48109-1003, USA

Comptes Rendus. Mathématique, Volume 354 (2016) no. 10, pp. 1023-1025.

Abstract
Résumé

This note gives an example of closed smooth manifolds M and N for which the rank of $M \times N$ is strictly greater than $rank M + rank N$ .

Cette note donne un exemple de deux variétés compactes M et N pour lesquelles le rang de $M \times N$ est strictement plus grand que $rang M + rang N$ .

Received: 2016-06-16
Accepted: 2016-08-30
Published online: 2016-09-06

DOI: 10.1016/j.crma.2016.08.004

Author's affiliations:

Francisco-Javier Turiel ¹; Arthur G. Wasserman ²

¹ Geometría y Topología, Facultad de Ciencias, Campus de Teatinos, s/n, 29071, Málaga, Spain
² University of Michigan, Ann Arbor, MI 48109-1003, USA

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     title = {On the rank of a product of manifolds},
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     pages = {1023--1025},
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     year = {2016},
     doi = {10.1016/j.crma.2016.08.004},
     language = {en},
}

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Francisco-Javier Turiel; Arthur G. Wasserman. On the rank of a product of manifolds. Comptes Rendus. Mathématique, Volume 354 (2016) no. 10, pp. 1023-1025. doi : 10.1016/j.crma.2016.08.004. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2016.08.004/

References
Cited by

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[5] D. Tischler Manifolds $M^{n}$ of rank $n - 1$ , Proc. Amer. Math. Soc., Volume 94 (1985), pp. 158-160

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