Remarks on holomorphic vector fields on non-compact manifolds
Si dimostra una proprietà dello spazio delle forme armoniche su di una varietà kähleriana, e da essa si traggono alcune conseguenze.
Given a compact Kähler manifold M and a holomorphic vector bundle F on M, with negative semi-definite curvature, a general cohomology theorem is established. The non-Kählerian case is discussed.
Given the notion of -structures without torsion on a real dimensional Lie algebra we study the problem of their classification when is a reductive algebra.
Let be a smooth foliation with complex leaves and let be the sheaf of germs of smooth functions, holomorphic along the leaves. We study the ringed space . In particular we concentrate on the following two themes: function theory for the algebra and cohomology with values in .
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