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- catalog abstract "The second edition featured a new chapter with a systematic development of variational problems from quantum field theory, in particular the Seiberg-Witten and Ginzburg-Landau functionals. This third edition gives a new presentation of Morse theory and Floer homology that emphasises the geometric aspects and integrates it into the context of Riemannian geometry and geometric analysis. It also gives a new presentation of the geometric aspects of harmonic maps: This uses geometric methods from the theory of geometric spaces of nonpositive curvature and, at the same time, sheds light on these, as an excellent example of the integration of deep geometric insights and powerful analytical tools. These new materials are based on a course at the University of Leipzig, entitled Geometry and Physics, attended by graduate students, postdocs and researchers from other areas of mathematics. Much of this material appears for the first time in a textbook.".
- catalog contributor b12465367.
- catalog created "c2002.".
- catalog date "2002".
- catalog date "c2002.".
- catalog dateCopyrighted "c2002.".
- catalog description "Fundamental Material -- De Rham Cohomology and Harmonic Differential Forms -- Parallel Transport, Connections, and Covariant Derivatives -- Geodesics and Jacobi Fields -- A Short Survey on Curvature and Topology: Symmetric Spaces and Kähler Manifolds -- Morse theory and Floer homology -- Variational Problems from Quantum Field Theory -- Harmonic Maps -- Appendix A: Linear Elliptic Partial Differential Equations -- Appendix B: Fundamental Groups and Covering Spaces -- Index.".
- catalog description "Includes bibliographical references and index.".
- catalog description "The second edition featured a new chapter with a systematic development of variational problems from quantum field theory, in particular the Seiberg-Witten and Ginzburg-Landau functionals. This third edition gives a new presentation of Morse theory and Floer homology that emphasises the geometric aspects and integrates it into the context of Riemannian geometry and geometric analysis. It also gives a new presentation of the geometric aspects of harmonic maps: This uses geometric methods from the theory of geometric spaces of nonpositive curvature and, at the same time, sheds light on these, as an excellent example of the integration of deep geometric insights and powerful analytical tools. These new materials are based on a course at the University of Leipzig, entitled Geometry and Physics, attended by graduate students, postdocs and researchers from other areas of mathematics. Much of this material appears for the first time in a textbook.".
- catalog extent "xiii, 532 p. :".
- catalog identifier "3540426272 (softcover : alk. paper)".
- catalog isPartOf "Universitext".
- catalog issued "2002".
- catalog issued "c2002.".
- catalog language "eng".
- catalog publisher "Berlin ; New York : Springer,".
- catalog subject "516.3/73 21".
- catalog subject "Geometry, Riemannian.".
- catalog subject "Global differential geometry.".
- catalog subject "Mathematics.".
- catalog subject "QA649 .J67 2002".
- catalog tableOfContents "Fundamental Material -- De Rham Cohomology and Harmonic Differential Forms -- Parallel Transport, Connections, and Covariant Derivatives -- Geodesics and Jacobi Fields -- A Short Survey on Curvature and Topology: Symmetric Spaces and Kähler Manifolds -- Morse theory and Floer homology -- Variational Problems from Quantum Field Theory -- Harmonic Maps -- Appendix A: Linear Elliptic Partial Differential Equations -- Appendix B: Fundamental Groups and Covering Spaces -- Index.".
- catalog title "Riemannian geometry and geometric analysis / Jürgen Jost.".
- catalog type "text".