Invariant G1 structures on flagmanifolds

被引：0

作者：

Alves, Luciana A. ^{[1
]}

da Silva, Neiton Pereira ^{[1
]}

机构：

[1] Univ Fed Uberlandia, Uberlandia, MG, Brazil

来源：

GEOMETRIAE DEDICATA | 2021年 / 213卷 / 01期

关键词：

Flag manifolds; t-roots; Connectedness by triples with zero sum; Almost Hermitian manifold; G(1) structures; EINSTEIN-METRICS; FLAG MANIFOLDS;

D O I：

10.1007/s10711-020-00576-w

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let F-Theta = U/K-Theta be a partial flag manifold, where K-Theta is the centralizer of a torus in U. We study U-invariant almost Hermitian structures on F-Theta. The classification of these structures are naturally related with the system R-t of t-roots associated to F-Theta. We introduced the notion of connectedness by triples with zero sum in a general subset of a vector space and proved that the set of t-roots satisfies this property. Using this result, the invariant G(1) structures on F-Theta are completely classified.

引用

页码：227 / 243

页数：17

共 18 条

[1] INVARIANT KAHLER-EINSTEIN METRICS ON COMPACT HOMOGENEOUS SPACES [J].