Variational problems in differential geometry
by Bielawski, Roger Houston, Kevin Speight, Martin
The field of geometric variational problems is fast-moving and influential. These problems interact with many other areas of mathematics and have strong relevance to the study of integrable systems, mathematical physics and PDEs. The workshop 'Variational Problems in Differential Geometry ' held in 2009 at the University of Leeds brought together internationally respected researchers from many different areas of the field. Topics discussed included recent developments in harmonic maps and morph…
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- Full title :Variational problems in differential geometry / edited by Roger Bielawski, Kevin Houston, Martin Speight.
Summary
The field of geometric variational problems is fast-moving and influential. These problems interact with many other areas of mathematics and have strong relevance to the study of integrable systems, mathematical physics and PDEs. The workshop 'Variational Problems in Differential Geometry ' held in 2009 at the University of Leeds brought together internationally respected researchers from many different areas of the field. Topics discussed included recent developments in harmonic maps and morphisms, minimal and CMC surfaces, extremal Kähler metrics, the Yamabe functional, Hamiltonian variational problems and topics related to gauge theory and to the Ricci flow. These articles reflect the whole spectrum of the subject and cover not only current results, but also the varied methods and techniques used in attacking variational problems. With a mix of original and expository papers, this volume forms a valuable reference for more experienced researchers and an ideal introduction for graduate students and postdoctoral researchers.
Read More ↓Edition Statements
- Publication Date:2011.
Publication Statements
- Publisher(s):Cambridge University Press
- Place of Publication:Cambridge
- Language:eng
- Publication Date:2011.
The Physical Object
- Description:online resource (xiv, 201 s.) : : illustrations
Edition Identifiers
- ISBN:9780511863219, 0511863217, 9781139159500, 113915950X
- oclc:ocn939591564
- LC Classification:QA641 .V37 2011
- Dewey Decimal:516.3/6
Table of Contents
1. The supremum of first eigenvalues of conformally covariant operators in a conformal class / Bernd Ammann and Pierre Jammes -- 1.1 Introduction -- 1.2 Preliminaries -- 1.3 Asymptotically cylindrical blowups -- 1.4 Proof of the main theorem -- Appendix A Analysis on (M∞, g∞) -- 2. K-Destabilizing test configurations with smooth central fiber / Claudio Arezzo, Alberto Della Vedova, and Gabriele La Nave -- 2.1 Introduction -- 2.2 The case of normal singularities -- 2.3 Proof of Theorem 2.1.8 and examples -- 3 Explicit constructions of Ricci solitons / Paul Baird -- 3.1 Introduction -- 3.2 Solitons from a dynamical system -- 3.3 Reduction of the equations to a 2-dimensional system -- 3.4 Higher dimensional Ricci solitons via projection -- 4 Open Iwasawa cells and applications to surface theory / Josef F. Dorfmeister -- 4.1 Introduction -- 4.2 Basic notation and the Birkhoff decomposition -- Iwasawa decomposition -- 4.4 Iwasawa decomposition via Birkhoff decomposition -- 4.5 A function defining the open Iwasawa cells -- 4.6 Applications to surface theory -- 5 Multiplier ideal sheaves and geometric problems / Akito Futaki and Yuji Sano -- 5.1 Introduction -- 5.2 An overview of multipl…
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