The holomorphic d-scalar curvature on almost Hermitian manifolds  

作　　者：Jianquan Ge Yi Zhou 

机构地区：[1]School of Mathematical Sciences,Laboratory of Mathematics and Complex Systems,Beijing Normal University,Beijing 100875,China

出　　处：《Science China Mathematics》2023年第10期2293-2308,共16页中国科学：数学（英文版）

基　　金：supported by Beijing Natural Science Foundation(Grant No.Z190003);National Natural Science Foundation of China(Grant Nos.12171037 and 12271040);the Fundamental Research Funds for the Central Universities.

摘　　要：In this paper,we study the existence of conformal metrics with the constant holomorphic d-scalar curvature and the prescribed holomorphic d-scalar curvature problem on closed,connected almost Hermitian manifolds of dimension n>6.In addition,we obtain an application and a variational formula for the associated conformal invariant.

关 键 词：holomorphic d-scalar curvature almost Hermitian manifold Yamabe problem prescribed curvature problem 

分 类 号：O186.1[理学—数学]