Logo

Complex Geometry of Nature and General Relativity

Complex Geometry of Nature and General Relativity
by

Publisher: arXiv
Number of pages: 229

Description:
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.

Home page url

Download or read it online for free here:
Download link
(1.1MB, PDF)

Similar books

Book cover: Complex ManifoldsComplex Manifolds
by - 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.
(1763 views)
Book cover: Differential Geometry of Indefinite Complex Submanifolds in Indefinite Complex Space FormsDifferential Geometry of Indefinite Complex Submanifolds in Indefinite Complex Space Forms
by
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.
(4419 views)
Book cover: Lectures On Levi Convexity Of Complex Manifolds And Cohomology Vanishing TheoremsLectures On Levi Convexity Of Complex Manifolds And Cohomology Vanishing Theorems
by - 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.
(5270 views)
Book cover: Lectures on Complex Analytic ManifoldsLectures on Complex Analytic Manifolds
by - 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.
(7049 views)