Variational Problems in Differential Geometry
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Variational Problems in Differential Geometry
About This Book
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.
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Table of contents
- Cover
- LONDON MATHEMATICAL SOCIETY LECTURE NOTE SERIES
- Conference photograph
- Title
- Copyright
- Contents
- Contributors
- Preface
- Chapter 1 The supremum of first eigenvalues of conformally covariant operators in a conformal class
- Chapter 2 K-Destabilizing test configurations with smooth central fiber
- Chapter 3 Explicit constructions of Ricci solitons
- Chapter 4 Open Iwasawa cells and applications to surface theory
- Chapter 5 Multiplier ideal sheaves and geometric problems
- Chapter 6 Multisymplectic formalism and the covariant phase space
- Chapter 7 Nonnegative curvature on disk bundles
- Chapter 8 Morse theory and stable pairs
- Chapter 9 Manifolds with k-positive Ricci curvature