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Complex Hessian Equation on K\"ahler Manifold

Differential Geometry 2008-12-25 v1 Analysis of PDEs

Abstract

In this paper, complex Hessian equation over K\"ahler manifold was studied. Under the condition that the underline K\"ahler manifold has non-negative holomorphic bisectional curvature, the existence and regularity of the solution was proved.

Keywords

Cite

@article{arxiv.0812.4549,
  title  = {Complex Hessian Equation on K\"ahler Manifold},
  author = {Zuoliang Hou},
  journal= {arXiv preprint arXiv:0812.4549},
  year   = {2008}
}

Comments

12 pages

R2 v1 2026-06-21T11:55:37.503Z