Rigidity of Rank-One Factors of Compact Symmetric Spaces
[Rigidité des facteurs de rang-1 des espaces symétriques compacts]
Clarke, Andrew1
1 Université de Nantes Laboratoire de Mathématiques Jean Leray 2, rue de la Houssinière - BP 92208 44322 Nantes Cedex 3 (France)
Annales de l'Institut Fourier, Tome 61 (2011) no. 2, pp. 491-509.

Nous considérons la décomposition d’un espace symétrique de type compact et nous montrons que les facteurs de rang 1, considérés comme sous-variétés de cet espace, sont isolés de toutes les sous-variétés minimales inéquivalentes.

We consider the decomposition of a compact-type symmetric space into a product of factors and show that the rank-one factors, when considered as totally geodesic submanifolds of the space, are isolated from inequivalent minimal submanifolds.

DOI : 10.5802/aif.2621
Classification : 53C40, 53C35, 53C42
Keywords: Minimal submanifolds, rigidity, symmetric spaces.
Mot clés : sous-varietés minimales, rigidité, espaces symétriques.
Clarke, Andrew 1

1 Université de Nantes Laboratoire de Mathématiques Jean Leray 2, rue de la Houssinière - BP 92208 44322 Nantes Cedex 3 (France) 
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Clarke, Andrew. Rigidity of Rank-One Factors of Compact Symmetric Spaces. Annales de l'Institut Fourier, Tome 61 (2011) no. 2, pp. 491-509. doi : 10.5802/aif.2621. http://www.numdam.org/articles/10.5802/aif.2621/

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