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.

引用

页码：536 / 555

页数：20

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