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Hessian equations of Krylov type on K\"ahler manifolds

Differential Geometry 2021-08-13 v3 Analysis of PDEs

Abstract

In this paper, we consider Hessian equations with its structure as a combination of elementary symmetric functions on closed K\"ahler manifolds. We provide a sufficient and necessary condition for the solvability of these equations, which generalize the results of Hessian equations and Hessian quotient equations.

Keywords

Cite

@article{arxiv.2107.12035,
  title  = {Hessian equations of Krylov type on K\"ahler manifolds},
  author = {Li Chen},
  journal= {arXiv preprint arXiv:2107.12035},
  year   = {2021}
}

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35 pages