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Lectures on Kähler Manifolds
 
Werner Ballmann Universität Bonn, Bonn, Germany
A publication of European Mathematical Society
Lectures on Kahler Manifolds
Softcover ISBN:  978-3-03719-025-8
Product Code:  EMSESILEC/2
List Price: $44.00
AMS Member Price: $35.20
Please note AMS points can not be used for this product
Lectures on Kahler Manifolds
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Lectures on Kähler Manifolds
Werner Ballmann Universität Bonn, Bonn, Germany
A publication of European Mathematical Society
Softcover ISBN:  978-3-03719-025-8
Product Code:  EMSESILEC/2
List Price: $44.00
AMS Member Price: $35.20
Please note AMS points can not be used for this product
  • Book Details
     
     
    EMS ESI Lectures in Mathematics and Physics
    Volume: 22006; 182 pp
    MSC: Primary 53; 32; 58;

    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.

    Readership

    Graduate students and researchers in mathematics and theoretical physics.

  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 22006; 182 pp
MSC: Primary 53; 32; 58;

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.

Readership

Graduate students and researchers in mathematics and theoretical physics.

Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.