Extension of Holomorphic Canonical Forms on Complete d-Bounded Kähler Manifolds

Abstract

In this paper we study the extension of holomorphic canonical forms on complete d-bounded Kähler manifolds by using L² analytic methods and L² Hodge theory, which generalizes some classical results to noncompact cases.

Keywords

Analytic methods / d-bounded Kähler manifolds / extension of canonical forms / deformation of complex structures / 32G05 / 58A14

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Peking University