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Global Differential Geometry

  • Conference proceedings
  • © 2012

Overview

Editors:
  1. Christian Bär

    1. Inst. Mathematik, Universität Potsdam, Potsdam, Germany

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  2. Joachim Lohkamp

    1. , Mathematisches Institut, Universität Münster, Münster, Germany

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  3. Matthias Schwarz

    1. , Fakultät für Mathematik und Informatik, Universität Leipzig, Leipzig, Germany

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  • Gives access to most recent developments in Global Differential Geometry
  • Written by experts in their field
  • Also suitable for graduate students and researchers with a general background in geometry
  • Includes supplementary material: sn.pub/extras

Part of the book series: Springer Proceedings in Mathematics (PROM, volume 17)

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Table of contents (16 papers)

  1. Front Matter

    Pages i-viii
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  2. Riemannian Geometry

    1. Front Matter

      Pages 1-1
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    2. Holonomy Groups and Algebras

      • Lorenz J. Schwachhöfer
      Pages 3-37

    3. Entropies, Volumes, and Einstein Metrics

      • D. Kotschick
      Pages 39-54

    4. Kac-Moody Geometry

      • Walter Freyn
      Pages 55-92

    5. Collapsing and Almost Nonnegative Curvature

      • Wilderich Tuschmann
      Pages 93-106

    6. Algebraic Integral Geometry

      • Andreas Bernig
      Pages 107-145

    7. Metric Properties of Euclidean Buildings

      • Linus Kramer
      Pages 147-159

  3. Geometric Analysis

    1. Front Matter

      Pages 161-161
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    2. Holonomy Groups of Lorentzian Manifolds: A Status Report

      • Helga Baum
      Pages 163-200

    3. Some Curvature Problems in Semi-Riemannian Geometry

      • Felix Finster, Marc Nardmann
      Pages 201-230

    4. Mean Curvature Flow in Higher Codimension: Introduction and Survey

      • Knut Smoczyk
      Pages 231-274

    5. Positive Scalar Curvature, K-area and Essentialness

      • Bernhard Hanke
      Pages 275-302

    6. Differential K-Theory: A Survey

      • Ulrich Bunke, Thomas Schick
      Pages 303-357

    7. Classical and Quantum Fields on Lorentzian Manifolds

      • Christian Bär, Nicolas Ginoux
      Pages 359-400

    8. Computations and Applications of η Invariants

      • Sebastian Goette
      Pages 401-433

  4. Symplectic Geometry

    1. Front Matter

      Pages 435-435
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    2. Rabinowitz Floer Homology: A Survey

      • Peter Albers, Urs Frauenfelder
      Pages 437-461

    3. Contact Structures and Geometric Topology

      • Hansjörg Geiges
      Pages 463-489

    4. On Product Structures in Floer Homology of Cotangent Bundles

      • Alberto Abbondandolo, Matthias Schwarz
      Pages 491-521
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Keywords

About this book

This volume contains a collection of well-written surveys provided by experts in Global Differential Geometry to give an overview over recent developments in Riemannian Geometry, Geometric Analysis and Symplectic Geometry.
The papers are written for graduate students and researchers with a general interest in geometry, who want to get acquainted with the current trends in these central fields of modern mathematics.

Editors and Affiliations

  • Inst. Mathematik, Universität Potsdam, Potsdam, Germany

    Christian Bär

  • , Mathematisches Institut, Universität Münster, Münster, Germany

    Joachim Lohkamp

  • , Fakultät für Mathematik und Informatik, Universität Leipzig, Leipzig, Germany

    Matthias Schwarz

About the editors

Prof. Dr. Christian Bär, University of Potsdam, Germany
Prof. Dr. Joachim Lohkamp, University of Münster, Germany
Prof. Dr. Matthias Schwarz, University of Leipzig, Germany

Bibliographic Information

  • Book Title: Global Differential Geometry

  • Editors: Christian Bär, Joachim Lohkamp, Matthias Schwarz

  • Series Title: Springer Proceedings in Mathematics

  • DOI: https://doi.org/10.1007/978-3-642-22842-1

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2012

  • Hardcover ISBN: 978-3-642-22841-4Published: 19 December 2011

  • Softcover ISBN: 978-3-642-43909-4Published: 01 March 2014

  • eBook ISBN: 978-3-642-22842-1Published: 18 December 2011

  • Series ISSN: 2190-5614

  • Series E-ISSN: 2190-5622

  • Edition Number: 1

  • Number of Pages: VIII, 524

  • Topics: Differential Geometry

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