We show that, in the complex hyperquadric, the intersection of two real forms, which are certain totally geodesic
Lagrangian submanifolds, is an antipodal set whose cardinality attains the smaller 2-number of the two
real forms. As a corollary of the result, we know that any real form in the complex hyperquadric is a globally
tight Lagrangian submanifold.
Publié le : 2010-05-15
Classification:
Real form,
Lagrangian submanifold,
complex hyperquadric,
antipodal set,
2-number,
globally tight,
53C40,
53D12
@article{1287148617,
author = {Tasaki, Hiroyuki},
title = {The intersection of two real forms in the complex hyperquadric},
journal = {Tohoku Math. J. (2)},
volume = {62},
number = {1},
year = {2010},
pages = { 375-382},
language = {en},
url = {http://dml.mathdoc.fr/item/1287148617}
}
Tasaki, Hiroyuki. The intersection of two real forms in the complex hyperquadric. Tohoku Math. J. (2), Tome 62 (2010) no. 1, pp. 375-382. http://gdmltest.u-ga.fr/item/1287148617/