Tohoku Mathematical Journal
- Tohoku Math. J. (2)
- Volume 62, Number 3 (2010), 375-382.
The intersection of two real forms in the complex hyperquadric
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.
Tohoku Math. J. (2), Volume 62, Number 3 (2010), 375-382.
First available in Project Euclid: 15 October 2010
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Tasaki, Hiroyuki. The intersection of two real forms in the complex hyperquadric. Tohoku Math. J. (2) 62 (2010), no. 3, 375--382. doi:10.2748/tmj/1287148617. https://projecteuclid.org/euclid.tmj/1287148617