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JOURNALS // Symmetry, Integrability and Geometry: Methods and Applications // Archive

SIGMA, 2021 Volume 17, 109, 30 pp. (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

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.

MSC: 53C55, 53C21, 14M15

Received: August 2, 2021; in final form December 11, 2021; Published online December 21, 2021

Language: English

DOI: 10.3842/SIGMA.2021.109



Bibliographic databases:
ArXiv: 2107.11455


© Steklov Math. Inst. of RAS, 2024