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Search: All articles in the CJM digital archive with keyword compact KÃ¤hler manifold

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1. CJM 2009 (vol 62 pp. 218)

Xing, Yang
 The General Definition of the Complex Monge--AmpÃ¨re Operator on Compact KÃ¤hler Manifolds We introduce a wide subclass ${\mathcal F}(X,\omega)$ of quasi-plurisubharmonic functions in a compact KÃ¤hler manifold, on which the complex Monge-AmpÃ¨re operator is well defined and the convergence theorem is valid. We also prove that ${\mathcal F}(X,\omega)$ is a convex cone and includes all quasi-plurisubharmonic functions that are in the Cegrell class. Keywords:complex Monge--AmpÃ¨re operator, compact KÃ¤hler manifoldCategories:32W20, 32Q15

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