Scalar Curvatures of Invariant Almost Hermitian Structures on Generalized Flag Manifolds

In this paper, we study invariant almost Hermitian geometry on generalized flag manifolds. We will focus on providing examples of Kähler-like scalar curvature metric, that is, almost Hermitian structures (, ) satisfying =2C, where is Riemannian scalar curvature, and C is the Chern scalar curvature...

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2021
Main Authors: Grama, Lino, Oliveira, Ailton R.
Format: Article
Language:English
Published: Інститут математики НАН України 2021
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/211418
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Scalar Curvatures of Invariant Almost Hermitian Structures on Generalized Flag Manifolds. Lino Grama and Ailton R. Oliveira. SIGMA 17 (2021), 109, 30 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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author Grama, Lino
Oliveira, Ailton R.
author_facet Grama, Lino
Oliveira, Ailton R.
citation_txt Scalar Curvatures of Invariant Almost Hermitian Structures on Generalized Flag Manifolds. Lino Grama and Ailton R. Oliveira. SIGMA 17 (2021), 109, 30 pages
collection DSpace DC
container_title Symmetry, Integrability and Geometry: Methods and Applications
description In this paper, we study invariant almost Hermitian geometry on generalized flag manifolds. We will focus on providing examples of Kähler-like scalar curvature metric, that is, almost Hermitian structures (, ) satisfying =2C, where is Riemannian scalar curvature, and C is the Chern scalar curvature.
first_indexed 2026-03-19T03:00:05Z
format Article
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institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
issn 1815-0659
language English
last_indexed 2026-03-19T03:00:05Z
publishDate 2021
publisher Інститут математики НАН України
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spelling Grama, Lino
Oliveira, Ailton R.
2026-01-02T08:28:42Z
2021
Scalar Curvatures of Invariant Almost Hermitian Structures on Generalized Flag Manifolds. Lino Grama and Ailton R. Oliveira. SIGMA 17 (2021), 109, 30 pages
1815-0659
2020 Mathematics Subject Classification: 53C55; 53C21; 14M15
arXiv:2107.11455
https://nasplib.isofts.kiev.ua/handle/123456789/211418
https://doi.org/10.3842/SIGMA.2021.109
In this paper, we study invariant almost Hermitian geometry on generalized flag manifolds. We will focus on providing examples of Kähler-like scalar curvature metric, that is, almost Hermitian structures (, ) satisfying =2C, where is Riemannian scalar curvature, and C is the Chern scalar curvature.
L. Grama is partially supported by 2018/13481-0; 2021/04003-0 (FAPESP) and 305036/2019-0 (CNPq).
en
Інститут математики НАН України
Symmetry, Integrability and Geometry: Methods and Applications
Scalar Curvatures of Invariant Almost Hermitian Structures on Generalized Flag Manifolds
Article
published earlier
spellingShingle Scalar Curvatures of Invariant Almost Hermitian Structures on Generalized Flag Manifolds
Grama, Lino
Oliveira, Ailton R.
title Scalar Curvatures of Invariant Almost Hermitian Structures on Generalized Flag Manifolds
title_full Scalar Curvatures of Invariant Almost Hermitian Structures on Generalized Flag Manifolds
title_fullStr Scalar Curvatures of Invariant Almost Hermitian Structures on Generalized Flag Manifolds
title_full_unstemmed Scalar Curvatures of Invariant Almost Hermitian Structures on Generalized Flag Manifolds
title_short Scalar Curvatures of Invariant Almost Hermitian Structures on Generalized Flag Manifolds
title_sort scalar curvatures of invariant almost hermitian structures on generalized flag manifolds
url https://nasplib.isofts.kiev.ua/handle/123456789/211418
work_keys_str_mv AT gramalino scalarcurvaturesofinvariantalmosthermitianstructuresongeneralizedflagmanifolds
AT oliveiraailtonr scalarcurvaturesofinvariantalmosthermitianstructuresongeneralizedflagmanifolds