On Rigidity and the Albanese Variety for Parallelizable Manifolds
Jörg Winkelmann
Abstract
We study the rigidity questions and the Albanese Variety for Complex Parallelizable Manifolds. Both are related to the study of the cohomology group H1(X, O). In particular we show that a compact complex parallelizable manifold is rigid iff b1(X)=0 iff Alb(X)=\e\ iff H1(X, O)=0.
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