**Complex Manifolds**

by Julius Ross

**Publisher**: Stanford University 2014**Number of pages**: 101

**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**

(540KB, PDF)

## Similar books

**Quantum Physics, Relativity, and Complex Spacetime**

by

**Gerald Kaiser**-

**University of Massachusetts at Lowell**

A new synthesis of the principles of quantum mechanics and Relativity is proposed in the context of complex differential geometry. The positivity of the energy implies that wave functions and fields can be extended to complex spacetime.

(

**10561**views)

**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.

(

**7916**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.

(

**4687**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.

(

**7324**views)