Holomorphic d-scalar curvature on almost Hermitian manifolds

Jianquan Ge; Yi Zhou

doi:10.1007/s11425-022-2089-1

Holomorphic d-scalar curvature on almost Hermitian manifolds

Differential Geometry 2023-02-27 v2

Authors: Jianquan Ge , Yi Zhou

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Abstract

In this paper, we study the existence of constant holomorphic d-scalar curvature and the prescribing holomorphic d-scalar curvature problem on closed, connected almost Hermitian manifolds of dimension $n\geq6$ . In addition, we obtain an application and a variation formula for the associated conformal invariant.

Keywords

holomorphic d-scalar curvature almost hermitian manifolds conformal invariant prescribing curvature variation formula

Cite

@article{arxiv.2202.07913,
  title  = {Holomorphic d-scalar curvature on almost Hermitian manifolds},
  author = {Jianquan Ge and Yi Zhou},
  journal= {arXiv preprint arXiv:2202.07913},
  year   = {2023}
}

Comments

20 pages, SCIENCE CHINA Mathematics, (2023), free access on Just Accepted: http://engine.scichina.com/doi/10.1007/s11425-022-2089-1

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