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arxiv: 1310.0362 · v1 · pith:PMKTLX5Rnew · submitted 2013-10-01 · 🧮 math.AP · math.DG

On a class of fully nonlinear elliptic equations on closed Hermitian manifolds

classification 🧮 math.AP math.DG
keywords hermitianclassclosedellipticequationsfullymanifoldsnonlinear
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We study a class of fully nonlinear elliptic equations on closed Hermitian manifolds. We derive $C^\infty$ {\em a priori} estimates, and then prove the existence of admissible solutions. In the approach, a new Hermitian metic is constructed to launch the method of continuity.

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