Totally real totally geodesic submanifolds of compact 3-symmetric spaces
Tojo, Koji
Tohoku Math. J. (2), Tome 53 (2001) no. 4, p. 131-143 / Harvested from Project Euclid
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We prove that a half dimensional, totally real and totally geodesic submanifold of a compact Riemannian 3-symmetric space is expressed as an orbit of a Lie subgroup of the isometry group of the ambient manifold. Moreover, we associate such submanifolds with graded Lie algebras of the second kind.
Publié le : 2001-05-14
Classification:  53C30,  17B20 
@article{1178207535,
     author = {Tojo, Koji},
     title = {Totally real totally geodesic submanifolds of compact 3-symmetric spaces},
     journal = {Tohoku Math. J. (2)},
     volume = {53},
     number = {4},
     year = {2001},
     pages = { 131-143},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1178207535}
}

Tojo, Koji. Totally real totally geodesic submanifolds of compact 3-symmetric spaces. Tohoku Math. J. (2), Tome 53 (2001) no. 4, pp.  131-143. http://gdmltest.u-ga.fr/item/1178207535/