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arxiv: 0812.4549 · v1 · submitted 2008-12-24 · 🧮 math.DG · math.AP

Complex Hessian Equation on K\"ahler Manifold

classification 🧮 math.DG math.AP
keywords ahlermanifoldcomplexequationhessianbisectionalconditioncurvature
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In this paper, complex Hessian equation over K\"ahler manifold was studied. Under the condition that the underline K\"ahler manifold has non-negative holomorphic bisectional curvature, the existence and regularity of the solution was proved.

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