Actions of Hermann type and proper complex equifocal submanifolds
Koike, Naoyuki
Osaka J. Math., Tome 42 (2005) no. 1, p. 599-611 / Harvested from Project Euclid
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In this paper, we mainly prove that principal orbits of an action of Hermann type on a symmetric space of non-compact type are curvature adapted and proper complex equifocal. The proof is performed by showing that principal orbits of the action are partial tubes over a totally geodesic singular orbit and investingating the shape operatores of the partial tubes over a submanifold in a symmetric space of non-compact type.
Publié le : 2005-09-14
Classification:  
@article{1153494504,
     author = {Koike, Naoyuki},
     title = {Actions of Hermann type and proper complex equifocal submanifolds},
     journal = {Osaka J. Math.},
     volume = {42},
     number = {1},
     year = {2005},
     pages = { 599-611},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1153494504}
}

Koike, Naoyuki. Actions of Hermann type and proper complex equifocal submanifolds. Osaka J. Math., Tome 42 (2005) no. 1, pp.  599-611. http://gdmltest.u-ga.fr/item/1153494504/