Dolbeault Operator
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, a Dolbeault operator on a complex manifold is the restriction of the exterior derivative to holomorphic or to antiholomorphic forms. In differential geometry, a complex manifold is a manifold with an atlas of charts to the open unit disk in Cn, such that the transition maps are holomorphic. The term complex manifold is variously used to mean a complex manifold in the sense above (which can be specified as an integrable complex manifold), and an almost-...
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, a Dolbeault operator on a complex manifold is the restriction of the exterior derivative to holomorphic or to antiholomorphic forms. In differential geometry, a complex manifold is a manifold with an atlas of charts to the open unit disk in Cn, such that the transition maps are holomorphic. The term complex manifold is variously used to mean a complex manifold in the sense above (which can be specified as an integrable complex manifold), and an almost-complex manifold, as discussed below.
