Translator Disclaimer
2010 The intersection of two real forms in the complex hyperquadric
Hiroyuki Tasaki
Tohoku Math. J. (2) 62(3): 375-382 (2010). DOI: 10.2748/tmj/1287148617

Abstract

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.

Citation

Download Citation

Hiroyuki Tasaki. "The intersection of two real forms in the complex hyperquadric." Tohoku Math. J. (2) 62 (3) 375 - 382, 2010. https://doi.org/10.2748/tmj/1287148617

Information

Published: 2010
First available in Project Euclid: 15 October 2010

zbMATH: 1204.53046
MathSciNet: MR2742014
Digital Object Identifier: 10.2748/tmj/1287148617

Subjects:
Primary: 53C40
Secondary: 53D12

Rights: Copyright © 2010 Tohoku University

JOURNAL ARTICLE
8 PAGES


SHARE
Vol.62 • No. 3 • 2010
Back to Top