Estimates for the Hessian equation on compact almost Hermitian manifolds. (English) Zbl 1478.32088
Summary: 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.
MSC:
| 32Q60 | Almost complex manifolds |
| 53C15 | General geometric structures on manifolds (almost complex, almost product structures, etc.) |
| 32W20 | Complex Monge-Ampère operators |
References:
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