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Symmetry, Integrability and Geometry: Methods and Applications, 2021, Volume 17, 109, 30 pp.
DOI: https://doi.org/10.3842/SIGMA.2021.109 (Mi sigma1791) 		 
Scalar Curvatures of Invariant Almost Hermitian Structures on Generalized Flag Manifolds

Lino Gramaa, Ailton R. Oliveirab

a IMECC - Universidade Estadual de Campinas (Unicamp), Departamento de Matemática, Rua Sérgio Buarque de Holanda, 651, Cidade Universitária Zeferino Vaz. 13083-859 Campinas - SP, Brazil
b UEMS - Universidade Estadual de Mato Grosso do Sul - MS, Cidade Universitária de Dourados, Rodovia Itahum, Km 12 s/n - Jardim Aeroporto, Dourados - MS, Brazil
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DOI: https://doi.org/10.3842/SIGMA.2021.109
Abstract: 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 $(g,J)$ satisfying $s=2s_{\rm C}$, where $s$ is Riemannian scalar curvature and $s_{\rm C}$ is the Chern scalar curvature.
Keywords: curvature of almost Hermitian structures, generalized flag manifolds, Kähler like scalar curvature.
Funding agency Grant number
Fundação de Amparo à Pesquisa do Estado de São Paulo 2018/13481-0
2021/04003-0
National Council for Scientific and Technological Development (CNPq) 305036/2019-0
L. Grama is partially supported by 2018/13481-0; 2021/04003-0 (FAPESP) and 305036/2019-0 (CNPq).
Received: August 2, 2021; in final form December 11, 2021; Published online December 21, 2021
Bibliographic databases:
Document Type: Article
MSC: 53C55, 53C21, 14M15
Language: English
Citation: Lino Grama, Ailton R. Oliveira, “Scalar Curvatures of Invariant Almost Hermitian Structures on Generalized Flag Manifolds”, SIGMA, 17 (2021), 109, 30 pp.
Citation in format AMSBIB
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\by Lino~Grama, Ailton~R.~Oliveira
\paper Scalar Curvatures of Invariant Almost Hermitian Structures on Generalized Flag Manifolds
\jour SIGMA
\yr 2021
\vol 17
\papernumber 109
\totalpages 30
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