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
收藏
页码：536 / 555
页数：20
相关论文
共 50 条
  • [1] Invariant generalized complex structures on flag manifolds
    Varea, Carlos A. B.
    San Martin, Luiz A. B.
    JOURNAL OF GEOMETRY AND PHYSICS, 2020, 150
  • [2] Invariant Generalized Almost Complex Structures on Real Flag Manifolds
    Valencia, Fabricio
    Varea, Carlos
    JOURNAL OF GEOMETRIC ANALYSIS, 2022, 32 (12)
  • [3] Invariant Generalized Almost Complex Structures on Real Flag Manifolds
    Fabricio Valencia
    Carlos Varea
    The Journal of Geometric Analysis, 2022, 32
  • [4] Invariant almost complex structures on real flag manifolds
    Ana P. C. Freitas
    Viviana del Barco
    Luiz A. B. San Martin
    Annali di Matematica Pura ed Applicata (1923 -), 2018, 197 : 1821 - 1844
  • [5] Invariant almost complex structures on real flag manifolds
    Freitas, Ana P. C.
    del Barco, Viviana
    San Martin, Luiz A. B.
    ANNALI DI MATEMATICA PURA ED APPLICATA, 2018, 197 (06) : 1821 - 1844
  • [6] On the stability of invariant almost complex structures on flag manifolds
    Oliveira, Francisco, V
    JOURNAL OF GEOMETRY AND PHYSICS, 2021, 166
  • [7] Invariant generalized complex geometry on maximal flag manifolds and their moduli
    Gasparim, Elizabeth
    Valencia, Fabricio
    Varea, Carlos
    JOURNAL OF GEOMETRY AND PHYSICS, 2021, 163
  • [8] A NOTE ABOUT INVARIANT SKT STRUCTURES AND GENERALIZED KAHLER STRUCTURES ON FLAG MANIFOLDS
    Alekseevsky, Dmitri V.
    David, Liana
    PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 2012, 55 : 543 - 549
  • [9] Scalar Curvatures of Invariant Almost Hermitian Structures on Generalized Flag Manifolds
    Grama, Lino
    Oliveira, Ailton R.
    SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2021, 17
  • [10] Invariant almost Hermitian structures on flag manifolds
    San Martin, LAB
    Negreiros, CJC
    ADVANCES IN MATHEMATICS, 2003, 178 (02) : 277 - 310
12345