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 Analytic and Differential GeometryComplex Analytic and Differential Geometry
by - 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.
(12973 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.
(5416 views)
Book cover: Quantum Physics, Relativity, and Complex SpacetimeQuantum Physics, Relativity, and Complex Spacetime
by - 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.
(10432 views)
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.
(1924 views)