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

by Alfonso Romero, Young Jin Suh

2004**Number of pages**: 60

**Description**:

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.

Download or read it online for free here:

**Download link**

(370KB, PDF)

## Similar books

**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.

(

**6791**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.

(

**5037**views)

**Complex Analytic and Differential Geometry**

by

**Jean-Pierre Demailly**-

**Universite de Grenoble**

Basic concepts of complex geometry, coherent sheaves and complex analytic spaces, positive currents and potential theory, sheaf cohomology and spectral sequences, Hermitian vector bundles, Hodge theory, positive vector bundles, etc.

(

**12556**views)

**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.

(

**11478**views)