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math.DGOct 1, 2010
14
citations (OpenAlex)
authors
  • Jixiang Fu
  • Zhizhang Wang
  • Damin Wu
arXiv abstractPDF
paper

Form-type Calabi-Yau equations on Kähler manifolds of nonnegative orthogonal bisectional curvature

arXiv:1010.2022

Abstract

In this paper we prove the existence and uniqueness of the form-type Calabi-Yau equation on Kähler manifolds of nonnegative orthogonal bisectional curvature.

arXiv commentAdded a remark in the introduction

Cited by in corpus (9)

  • The Monge-Ampère equation for (n-1)-plurisubharmonic functions on a compact Kähler manifold
  • C2,α estimates for nonlinear elliptic equations in complex and almost complex geometry
  • Stability and regularity of solutions of the Monge-Ampère equation on Hermitian manifolds
  • The Dirichlet Problem of Fully Nonlinear Equations on Hermitian Manifolds
  • Long time existence of the (n-1)-plurisubharmonic flow
  • On real bisectional curvature for Hermitian manifolds
  • Fully non-linear degenerate elliptic equations in complex geometry
  • Relations between the Kahler cone and the balanced cone of a Kahler manifold
  • Fully non-linear elliptic equations on compact almost Hermitian manifolds
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