Classification of totally real and totally geodesic submanifolds of compact 3-symmetric spaces
TOJO, Koji
J. Math. Soc. Japan, Tome 58 (2006) no. 3, p. 17-53 / Harvested from Project Euclid
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It is known that each 3-symmetric space admits an invariant almost complex structure $J$ , so-called a canonical almost complex structure. By making use of simple graded Lie algebras and an affine Lie algebra, we classify half dimensional, totally real (with respect to $J$ ) and totally geodesic submanifolds of compact 3-symmetric spaces.
Publié le : 2006-01-14
Classification:  3-symmetric space,  graded Lie algebra,  totally geodesic submanifold,  affine Lie algebra,  53C40,  17B70,  53C30 
@article{1145287092,
     author = {TOJO, Koji},
     title = {Classification of totally real and totally geodesic submanifolds of compact 3-symmetric spaces},
     journal = {J. Math. Soc. Japan},
     volume = {58},
     number = {3},
     year = {2006},
     pages = { 17-53},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1145287092}
}

TOJO, Koji. Classification of totally real and totally geodesic submanifolds of compact 3-symmetric spaces. J. Math. Soc. Japan, Tome 58 (2006) no. 3, pp.  17-53. http://gdmltest.u-ga.fr/item/1145287092/