Harmonic maps and differential geometry : a harmonic map fest in honour of John C. Wood's 60th birthday, September 7-10, 2009, Cagliari, Italy / E. Loubeau, S. Montaldo, editors.

Format:

Book

Contributor:

Wood, John C., honouree.

Loubeau, E. (Eric), 1967- editor.

Montaldo, S. (Stefano), 1969- editor.

Series:

Contemporary mathematics, 0271-4132 542

Contemporary mathematics, 542 0271-4132

Language:

English

Subjects (All):

Harmonic maps--Congresses.

Harmonic maps.

Geometry, Differential--Congresses.

Geometry, Differential.

Physical Description:

1 online resource (296 p.)

Edition:

1st ed.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, [2011]

Language Note:

English

Summary:

This volume contains the proceedings of a conference held in Cagliari, Italy, from September 7-10, 2009, to celebrate John C. Wood's 60th birthday. These papers reflect the many facets of the theory of harmonic maps and its links and connections with other topics in Differential and Riemannian Geometry. Two long reports, one on constant mean curvature surfaces by F. Pedit and the other on the construction of harmonic maps by J. C. Wood, open the proceedings. These are followed by a mix of surveys on Prof. Wood's area of expertise: Lagrangian surfaces, biharmonic maps, locally conformally Kahler manifolds and the DDVV conjecture, as well as several research papers on harmonic maps. Other research papers in the volume are devoted to Willmore surfaces, Goldstein-Pedrich flows, contact pairs, prescribed Ricci curvature, conformal fibrations, the Fadeev-Hopf model, the Compact Support Principle and the curvature of surfaces.

Contents:

Intro

Contents

Preface

List of Participants

Thirty-nine Years of Harmonic Maps

Constant Mean Curvature Surfaces: An Integrable Systems Perspective

Explicit Constructions of Harmonic Maps

Discrete Harmonic Map Heat Flow on a Finite Graph

Contact Pairs and Locally Conformally Symplectic Structures

Congruence Curves of the Goldstein-Petrich Flows

Differential Geometry of Lagrangian Submanifolds and Hamiltonian Variational Problems

A Report on Locally Conformally Kähler Manifolds

1. Locally conformally Kähler manifolds

1.1. Examples

1.1.1. Diagonal Hopf manifolds

1.1.2. Compact complex surfaces

1.1.3. Oeljeklaus-Toma manifolds

2. Locally conformally Kähler manifolds with potential

2.1. Vaisman manifolds

3. Transformation groups of LCK manifolds

References

k−Hessian Differential Inequalities and the Compact Support Principle

The Geometry of Biharmonic Maps

Constructing Metrics with Prescribed Geometry

On the Regularity of the Space of Harmonic 2-spheresin the 4-sphere

Conformal Fibrations of S3 by Circles

Harmonic Map Methods for Willmore Surfaces

Some Remarks on Invariant Surfaces and Their Extrinsic Curvature

Harmonic and Biharmonic Maps from Surfaces

Non-divergence Harmonic Maps

A Note on Higher-charge Configurations for the Faddeev-Hopf Model

A Survey on the DDVV Conjecture

On the Characteristic Foliations of Metric Contact Pairs

A Note on η-Einstein Manifolds

Minimal and Flat Surfaces in H2 × R with Canonical Coordinates

Ricci Curvature Properties and Stability on 3-dimensional Kenmotsu Manifolds

On the Existence of Harmonic Morphisms from Three-dimensional Lie Groups.

Notes:

Description based upon print version of record.

Includes bibliographical references.

Description based on print version record.

ISBN:

0-8218-8221-X

0-8218-7402-0