Invariant generalized complex structures on partial flag manifolds

被引：2
|
作者：
Varea, Carlos A. B. [1 ]
机构：
[1] Univ Estadual Campinas, Inst Matemat Estat & Comp Cient, Rua Sergio Buarque de Holanda 651, BR-13083859 Campinas, SP, Brazil
来源：
INDAGATIONES MATHEMATICAE-NEW SERIES | 2020年 / 31卷 / 04期
基金：
巴西圣保罗研究基金会;
关键词：
Flag manifolds; Homogeneous space; Semisimple lie groups; Generalized complex structures;
D O I：
10.1016/j.indag.2020.04.003
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The aim of this paper is to classify all invariant generalized complex structures on a partial flag manifold F-Theta with at most four isotropy summands. To classify them all we proved that an invariant generalized almost complex structure on F-Theta is 'constant' in each component of the isotropy representation. (C) 2020 Royal Dutch Mathematical Society (KWG). Published by Elsevier B.V. All rights reserved.
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页码：536 / 555
页数：20
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