Rigidity of Rank-One Factors of Compact Symmetric Spaces
[Rigidité des facteurs de rang-1 des espaces symétriques compacts]
Clarke, Andrew
Annales de l'Institut Fourier, Tome 61 (2011), p. 491-509 / Harvested from Numdam
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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.

Publié le : 2011-01-01
DOI : https://doi.org/10.5802/aif.2621
Classification:  53C40,  53C35,  53C42
Mots clés: sous-varietés minimales, rigidité, espaces symétriques. 
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     author = {Clarke, Andrew},
     title = {Rigidity of Rank-One Factors of Compact Symmetric Spaces},
     journal = {Annales de l'Institut Fourier},
     volume = {61},
     year = {2011},
     pages = {491-509},
     doi = {10.5802/aif.2621},
     zbl = {1231.53044},
     mrnumber = {2895065},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIF_2011__61_2_491_0}
}

 Clarke, Andrew. Rigidity of Rank-One Factors of Compact Symmetric Spaces. Annales de l'Institut Fourier, Tome 61 (2011) pp. 491-509. doi : 10.5802/aif.2621. http://gdmltest.u-ga.fr/item/AIF_2011__61_2_491_0/

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