Logo

Complex Manifolds and Hermitian Differential Geometry

Small book cover: Complex Manifolds and Hermitian Differential Geometry

Complex Manifolds and Hermitian Differential Geometry
by

Publisher: University of Toronto
Number of pages: 113

Description:
The intent of this text 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. The author provides a number of interesting and non-trivial examples, both in the text and in the exercises.

Download or read it online for free here:
Download link
(850KB, PDF)

Similar books

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.
(11474 views)
Book cover: Complex Geometry of Nature and General RelativityComplex Geometry of Nature and General Relativity
by - 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.
(17251 views)
Book cover: Kähler-Einstein metrics: Old and NewKähler-Einstein metrics: Old and New
by - arXiv.org
We present classical and recent results on Kaehler-Einstein metrics on compact complex manifolds, focusing on existence, obstructions and relations to algebraic geometric notions of stability (K-stability). These are the notes for author's course.
(6298 views)
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.
(19123 views)