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Estimates for the Hessian Equation on Compact Almost Hermitian Manifolds

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Abstract

We consider the Hessian equation on compact almost Hermitian manifolds and show one of important inequalities for a smooth solution of the equation. Applying the main estimate, we obtain \(C^{2,\alpha }\)-estimate under some assumptions.

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Correspondence to Masaya Kawamura.

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This work was supported by JSPS KAKENHI Grant Number JP21K13798.

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Kawamura, M. Estimates for the Hessian Equation on Compact Almost Hermitian Manifolds. Results Math 76, 201 (2021). https://doi.org/10.1007/s00025-021-01510-6

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