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Riemannian Geometry and Geometric Analysis, 3rd Edition (International Association of Geodesy Symposia)

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Riemannian Geometry and Geometric Analysis, 3rd Edition (International Association of Geodesy Symposia) Cover

 

Synopses & Reviews

Publisher Comments:

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.

Synopsis:

This established reference leads readers to some of the hottest topics of contemporary mathematical research. The third edition includes a new presentation of Morse theory and Floer homology, emphasizing the geometric aspects and discussed in the context of Riemannian geometry and geometric analysis.

Product Details

ISBN:
9783540426271
Publisher:
Springer
Location:
Berlin
Author:
Jost, Jurgen
Author:
Jost, J.
Subject:
Geometry, analytic
Subject:
Geometry - Differential
Subject:
Geometry, riemannian
Subject:
Harmonic maps
Subject:
Symmetric spaces
Subject:
Morse theory.
Subject:
Riemann, Gâeomâetrie de
Subject:
GEOMETRIA RIEMANNIANA
Subject:
ANâALISE GLOBAL
Subject:
Riemannian Geometry
Subject:
Seiber-Witten functionals
Subject:
Mathematics-Geometry - General
Copyright:
Edition Number:
3
Edition Description:
3rd ed.
Series:
Universitext
Series Volume:
working paper 8514
Publication Date:
20011206
Binding:
TRADE PAPER
Language:
English
Pages:
532
Dimensions:
235 x 155 mm 840 gr

Related Subjects

Science and Mathematics » Mathematics » Geometry » General

Riemannian Geometry and Geometric Analysis, 3rd Edition (International Association of Geodesy Symposia)
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Product details 532 pages Springer Verlag - English 9783540426271 Reviews:
"Synopsis" by , This established reference leads readers to some of the hottest topics of contemporary mathematical research. The third edition includes a new presentation of Morse theory and Floer homology, emphasizing the geometric aspects and discussed in the context of Riemannian geometry and geometric analysis.
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