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Lectures on Kaehler manifolds by Werner Ballmann is a nonfiction available to read on EtoBox.

What is Lectures on Kaehler manifolds about?

These notes are based on lectures the author gave at the University of Bonn and the Erwin Schrödinger Institute in Vienna. The aim is to give a thorough introduction to the theory of Kähler manifolds with special emphasis on the differential geometric side of Kähler geometry. The exposition starts with a short discussion of complex manifolds and holomorphic vector bundles and a detailed account of the basic differential geometric properties of Kähler manifolds. The more advanced topics are the cohomology of Kähler manifolds, Calabi conjecture, Gromov's Kähler hyperbolic spaces, and the Kodaira embedding theorem. Some familiarity with global analysis and partial differential equations is assumed, in particular in the part on the Calabi conjecture. There are appendices on Chern-Weil theory, symmetric spaces, and $L^2$-cohomology. A publication of the European Mathematical Society (EMS). Distributed within the Americas by the American Mathematical Society.

Who reads Lectures on Kaehler manifolds?

Author

Werner Ballmann

Publisher

European Mathematical Society, Thomas Hintermann

Published

2006

Language

EN

ISBN

9783037190258

Category

nonfiction

Subjects

Mathematics, Stem