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VANISHING THEOREMS ON STRONGLY Q-CONVEX MANIFOLDS

O. ABDELKADER

Mathematics Department, Faculty of Science, Minia University, El-Minia, Egypt

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and

S. SABER

Mathematics Department, Faculty of Science, Cairo University, Beni-Swef Branch, Egypt

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https://doi.org/10.1142/S0219887805000569Cited by:2 (Source: Crossref)

Abstract

Let X be strongly q-convex domain of an n-dimensional Kähler manifold M and E be a holomorphic vector bundle over M. Then, if E satisfies certain positivity conditions, we prove vanishing theorems for the -cohomology groups of X with values in E.

Keywords:

AMSC: 32F10, 32L20, 32Q15

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