**Lectures on Complex Analytic Manifolds**

by L. Schwartz

**Publisher**: Tata Institute of Fundamental Research 1955**Number of pages**: 163

**Description**:

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.

Download or read it online for free here:

**Download link**

(660KB, PDF)

## Similar books

**Complex Geometry of Nature and General Relativity**

by

**Giampiero Esposito**-

**arXiv**

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.

(

**9897**views)

**Lectures On Levi Convexity Of Complex Manifolds And Cohomology Vanishing Theorems**

by

**E. Vesentini**-

**Tata Institute Of Fundamental Research**

These are notes of lectures which the author gave in the winter 1965. Topics covered: Vanishing theorems for hermitian manifolds; W-ellipticity on Riemannian manifolds; Local expressions for and the main inequality; Vanishing Theorems.

(

**3966**views)

**Complex Manifolds**

by

**Julius Ross**-

**Stanford University**

From the table of contents: Complex Manifolds; Almost Complex Structures; Differential Forms; Poincare Lemma; Sheaves and Cohomology; Several Complex Variables; Holomorphic Vector Bundles; Kaehler Manifolds; Hodge Theory; Lefschetz Theorems; etc.

(

**301**views)

**Differential Geometry of Indefinite Complex Submanifolds in Indefinite Complex Space Forms**

by

**Alfonso Romero, Young Jin Suh**

From the table of contents: Chapter 1. Linear preliminaries; Chapter 2. Indefinite Kaehler manifolds; Chapter 3. Complex hypersurfaces; Chapter 4. Complex submanifolds; Chapter 5. Totally real bisectional curvature; and more.

(

**2893**views)