Hessian equations of Krylov type on K\"ahler manifolds

Li Chen

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Hessian equations of Krylov type on K\"ahler manifolds

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arxiv 2107.12035 v3 pith:XFARIGOR submitted 2021-07-26 math.DG math.AP

Hessian equations of Krylov type on K\"ahler manifolds

Li Chen This is my paper

classification math.DG math.AP

keywords equationshessianahlermanifoldsclosedcombinationconditionconsider

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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.

Hessian equations of Krylov type on K\"ahler manifolds

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