Scalar Curvatures of Invariant Almost Hermitian Structures on Flag Manifolds with Two and Three Isotropy Summands

被引：0

作者：

Grama, Lino ^{[1
]}

Oliveira, Ailton R. ^{[2
]}

机构：

[1] Imecc Unicamp, Dept Matemat, Rua Sergio Buarque Holanda,651,Cidade Univ Zeferin, BR-13083859 Campinas, SP, Brazil

[2] UEMS Univ Estadual Mato Grosso Sul MS, Cidade UniversitAria Dourados,Rodovia Itahum, Km 1, Dourados, MS, Brazil

来源：

JOURNAL OF GEOMETRIC ANALYSIS | 2023年 / 33卷 / 10期

基金：

巴西圣保罗研究基金会;

关键词：

Almost Hermitian geometry; Chern curvature; Flag manifolds; EINSTEIN-METRICS;

D O I：

10.1007/s12220-023-01377-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study invariant almost Hermitian geometry on generalized flag manifolds which the isotropy representation decompose into two or three irreducible components. We will provide a classification of such flag manifolds admitting Kahler like scalar curvature metric, that is, almost Hermitian structures (g, J) satisfying s = 2s(C) where s is Riemannian scalar curvature and s(C) is the Chern scalar curvature.

引用

页数：35

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