Hessian equations of Krylov type on Kähler manifolds

Published 26 Jul 2021 in math.DG and math.AP | (2107.12035v3)

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.

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Li Chen

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