Lectures on Complex Analytic Manifolds
by L. Schwartz
Publisher: Tata Institute of Fundamental Research 1955
Number of pages: 163
Topics covered: Differentiable Manifolds; C maps, diffeomorphisms. Effect of a map; The Tensor Bundles; Existence and uniqueness of the exterior differentiation; Manifolds with boundary; Integration on chains; Some examples of currents; Currents with compact support; de Rham's Theorem; The star operator; Green's Operator G; Real vector spaces with a J-Structure; The operator J; The canonical orientation of a complex manifold; etc.
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An attempt is made of giving a self-contained introduction to holomorphic ideas in general relativity, following work over the last thirty years by several authors. The main topics are complex manifolds, spinor and twistor methods, heaven spaces.
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