**Complex Manifolds**

by Julius Ross

**Publisher**: Stanford University 2014**Number of pages**: 119

**Description**:

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

Download or read it online for free here:

**Download link**

(1MB, PDF)

## Similar books

**Complex Manifolds and Hermitian Differential Geometry**

by

**Andrew D. Hwang**-

**University of Toronto**

The intent is not to give a thorough treatment of the algebraic and differential geometry of complex manifolds, but to introduce the reader to material of current interest as quickly as possible. A number of interesting examples is provided.

(

**10660**views)

**Lectures on Complex Analytic Manifolds**

by

**L. Schwartz**-

**Tata Institute of Fundamental Research**

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; etc.

(

**9885**views)

**Dynamics in One Complex Variable**

by

**John Milnor**-

**Princeton University Press**

This text studies the dynamics of iterated holomorphic mappings from a Riemann surface to itself, concentrating on the case of rational maps of the Riemann sphere. The book introduces some key ideas in the field, and forms a basis for further study.

(

**14529**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.

(

**7184**views)