Logo

Lectures on Complex Analytic Manifolds

Small book cover: Lectures on Complex Analytic Manifolds

Lectures on Complex Analytic Manifolds
by

Publisher: Tata Institute of Fundamental Research
Number of pages: 163

Description:
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; Currents with compact support; de Rham's Theorem; The star operator; Green's Operator G; Real vector spaces with a J-Structure; The operator J; The canonical orientation of a complex manifold; etc.

Download or read it online for free here:
Download link
(660KB, PDF)

Similar books

Book cover: Complex Manifolds and Hermitian Differential GeometryComplex Manifolds and Hermitian Differential Geometry
by - 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.
(7498 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.
(1653 views)
Book cover: Dynamics in One Complex VariableDynamics in One Complex Variable
by - 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.
(10643 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.
(10015 views)