Complex Hessian Equation on Kähler Manifold

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2009Embargo end date: 01 Jan 2008 English Publisher:Oxford University Press (OUP)Journal:International Mathematics Research Notices, volume 2,009, pages 3,098-3,111 (issn: 1073-7928, eissn: 1687-0247,

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Authors: Hou, Zuoliang;

doi: 10.1093/imrn/rnp043 , 10.48550/arxiv.0812.4549

arXiv: 0812.4549

Complex Hessian Equation on Kähler Manifold

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Abstract

In this paper, complex Hessian equation over Kähler manifold was studied. Under the condition that the underline Kähler manifold has non-negative holomorphic bisectional curvature, the existence and regularity of the solution was proved.

12 pages

Related Organizations

Columbia University
United States
King’s University
United States

Keywords

Mathematics - Differential Geometry, 58J05, Mathematics - Analysis of PDEs, Differential Geometry (math.DG), FOS: Mathematics, 35J60; 58J05;, 35J60, Analysis of PDEs (math.AP)

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