Complex structures, totally real and totally geodesic submanifolds of compact 3-symmetric spaces, and affine symmetric spaces
Tojo, Koji
Tohoku Math. J. (2), Tome 60 (2008) no. 1, p. 549-580 / Harvested from Project Euclid
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We construct invariant complex structures of a compact 3-symmetric space by means of the canonical almost complex structure of the underlying manifold and some involutions of a Lie group. Moreover, by making use of graded Lie algebras and some invariant structures of affine symmetric spaces, we classify half dimensional, totally real and totally geodesic submanifolds of a compact 3-symmetric space with respect to each invariant complex structure.
Publié le : 2008-05-15
Classification:  3-symmetric space,  graded Lie algebra,  totally geodesic submanifold,  affine symmetric space,  53C40,  17B70,  53C30 
@article{1232376166,
     author = {Tojo, Koji},
     title = {Complex structures, totally real and totally geodesic submanifolds of compact 3-symmetric spaces, and affine symmetric spaces},
     journal = {Tohoku Math. J. (2)},
     volume = {60},
     number = {1},
     year = {2008},
     pages = { 549-580},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1232376166}
}

Tojo, Koji. Complex structures, totally real and totally geodesic submanifolds of compact 3-symmetric spaces, and affine symmetric spaces. Tohoku Math. J. (2), Tome 60 (2008) no. 1, pp.  549-580. http://gdmltest.u-ga.fr/item/1232376166/