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Scalar Curvatures of Invariant Almost Hermitian Structures on Generalized Flag Manifolds

Differential Geometry 2021-12-22 v2

Abstract

In this paper we study invariant almost Hermitian geometry on generalized flag manifolds. We will focus on providing examples of K\"ahler like scalar curvature metric, that is, almost Hermitian structures (g,J)(g,J) satisfying s=2sCs=2s_{\rm C}, where ss is Riemannian scalar curvature and sCs_{\rm C} is the Chern scalar curvature.

Keywords

Cite

@article{arxiv.2107.11455,
  title  = {Scalar Curvatures of Invariant Almost Hermitian Structures on Generalized Flag Manifolds},
  author = {Lino Grama and Ailton R. Oliveira},
  journal= {arXiv preprint arXiv:2107.11455},
  year   = {2021}
}