Complex Geometry of Nature and General Relativity
by Giampiero Esposito
Publisher: arXiv 1999
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.
Download or read it online for free here:
Download link
(1.1MB, PDF)
Similar books
Complex Manifoldsby 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.
(7362 views)
Complex Analytic and Differential Geometryby 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.
(23704 views)
Dynamics in One Complex Variableby 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.
(19051 views)
Differential Geometry of Indefinite Complex Submanifolds in Indefinite Complex Space Formsby 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.
(9715 views)