Holomorphic d-scalar curvature on almost Hermitian manifolds
Jianquan Ge, Yi Zhou
TL;DR
This paper investigates the existence and prescription of constant holomorphic d-scalar curvature on closed almost Hermitian manifolds of dimension at least six, providing new results and applications in conformal geometry.
Contribution
It introduces new existence results for constant holomorphic d-scalar curvature and develops a variation formula for the related conformal invariant on almost Hermitian manifolds.
Findings
Existence results for constant holomorphic d-scalar curvature
Prescribing holomorphic d-scalar curvature problem solutions
A new variation formula for the conformal invariant
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 . In addition, we obtain an application and a variation formula for the associated conformal invariant.
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Taxonomy
TopicsGeometry and complex manifolds · Geometric Analysis and Curvature Flows · Holomorphic and Operator Theory