**Contemporary Mathematics**

Volume: 542;
2011;
284 pp;
Softcover

MSC: Primary 53; 58;
Secondary 15; 35; 49; 57; 81

**Print ISBN: 978-0-8218-4987-3
Product Code: CONM/542**

List Price: $111.00

AMS Member Price: $88.80

MAA Member Price: $99.90

**Electronic ISBN: 978-0-8218-8221-4
Product Code: CONM/542.E**

List Price: $104.00

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# Harmonic Maps and Differential Geometry

Share this page *Edited by *
*E. Loubeau; S. Montaldo*

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 Kähler 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.

#### Readership

Graduate students and research mathematicians interested in differential geometry and harmonic maps.

# Table of Contents

## Harmonic Maps and Differential Geometry

- Contents v6 free
- Preface vii8 free
- List of Participants ix10 free
- Thirty-nine Years of Harmonic Maps 112 free
- Constant Mean Curvature Surfaces: An Integrable Systems Perspective 718
- Explicit Constructions of Harmonic Maps 4152
- Discrete Harmonic Map Heat Flow on a Finite Graph 7586
- Contact Pairs and Locally Conformally Symplectic Structures 8596
- Congruence Curves of the Goldstein-Petrich Flows 99110
- Differential Geometry of Lagrangian Submanifolds and Hamiltonian Variational Problems 115126
- A Report on Locally Conformally Kähler Manifolds 135146
- 1. Locally conformally Kähler manifolds 135146
- 1.1. Examples 137148
- 1.1.1. Diagonal Hopf manifolds 137148
- 1.1.2. Compact complex surfaces 138149
- 1.1.3. Oeljeklaus-Toma manifolds 138149
- 2. Locally conformally Kähler manifolds with potential 139150
- 2.1. Vaisman manifolds 141152
- 3. Transformation groups of LCK manifolds 145156
- References 148159

- k−Hessian Differential Inequalities and the Compact Support Principle 151162
- The Geometry of Biharmonic Maps 159170
- Constructing Metrics with Prescribed Geometry 177188
- On the Regularity of the Space of Harmonic 2-spheresin the 4-sphere 187198
- Conformal Fibrations of S3 by Circles 195206
- Harmonic Map Methods for Willmore Surfaces 203214
- Some Remarks on Invariant Surfaces and Their Extrinsic Curvature 213224
- Harmonic and Biharmonic Maps from Surfaces 223234
- Non-divergence Harmonic Maps 231242
- A Note on Higher-charge Configurations for the Faddeev-Hopf Model 239250
- A Survey on the DDVV Conjecture 247258
- On the Characteristic Foliations of Metric Contact Pairs 255266
- A Note on η-Einstein Manifolds 261272
- Minimal and Flat Surfaces in H2 × R with Canonical Coordinates 267278
- Ricci Curvature Properties and Stability on 3-dimensional Kenmotsu Manifolds 273284
- On the Existence of Harmonic Morphisms from Three-dimensional Lie Groups 279290