Geometry

Download E-books Lectures on Kähler Manifolds (Esi Lectures in Mathematics and Physics) (ESI Lectures in Mathematics & Physics) PDF

By Werner Ballmann

Those notes are in line with lectures the writer gave on the collage of Bonn and the Erwin Schrödinger Institute in Vienna. the purpose is to offer a radical creation to the idea of Kähler manifolds with distinctive emphasis at the differential geometric facet of Kähler geometry. The exposition begins with a quick dialogue of advanced manifolds and holomorphic vector bundles and an in depth account of the fundamental differential geometric houses of Kähler manifolds. The extra complicated subject matters are the cohomology of Kähler manifolds, Calabi conjecture, Gromov's Kähler hyperbolic areas, and the Kodaira embedding theorem. a few familiarity with international research and partial differential equations is thought, specifically within the half at the Calabi conjecture. There are appendices on Chern-Weil conception, symmetric areas, and $L^2$-cohomology.

A ebook of the eu Mathematical Society (EMS). dispensed in the Americas by way of the yank Mathematical Society.

Show description

Read or Download Lectures on Kähler Manifolds (Esi Lectures in Mathematics and Physics) (ESI Lectures in Mathematics & Physics) PDF

Similar Geometry books

Fractals Everywhere: The First Course in Deterministic Fractal Geometry

This variation additionally positive factors extra difficulties and instruments emphasizing fractal functions, in addition to a brand new solution key to the textual content routines.

Geometry and Its Applications, Second Edition

Meyer's Geometry and Its purposes, moment variation, combines conventional geometry with present principles to offer a latest method that's grounded in real-world functions. It balances the deductive method with discovery studying, and introduces axiomatic, Euclidean geometry, non-Euclidean geometry, and transformational geometry.

Fibonacci's De Practica Geometrie (Sources and Studies in the History of Mathematics and Physical Sciences)

Leonardo da Pisa, maybe larger often called Fibonacci (ca. 1170 – ca. 1240), chosen the main invaluable components of Greco-Arabic geometry for the publication referred to as De Practica Geometrie. This translation bargains a reconstruction of De Practica Geometrie because the writer judges Fibonacci wrote it, thereby correcting inaccuracies present in a number of glossy histories.

Global Analysis in Mathematical Physics. : Geometric and Scholastic Methods

The 1st variation of this publication entitled research on Riemannian Manifolds and a few difficulties of Mathematical Physics was once released through Voronezh Univer­ sity Press in 1989. For its English version, the booklet has been considerably revised and accelerated. specifically, new fabric has been further to Sections 19 and 20.

Extra info for Lectures on Kähler Manifolds (Esi Lectures in Mathematics and Physics) (ESI Lectures in Mathematics & Physics)

Show sample text content

Rated 4.62 of 5 – based on 50 votes