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Book DetailsContemporary MathematicsVolume: 542; 2011MSC: Primary 53; 58; Secondary 15; 35; 49; 57; 81;
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, GoldsteinPedrich flows, contact pairs, prescribed Ricci curvature, conformal fibrations, the FadeevHopf model, the Compact Support Principle and the curvature of surfaces.ReadershipGraduate students and research mathematicians interested in differential geometry and harmonic maps.

Table of Contents

Articles

John C. Wood  Thirtynine years of harmonic maps [ MR 2796638 ]

A. Gerding, F. Pedit and N. Schmitt  Constant mean curvature surfaces: an integrable systems perspective [ MR 2796639 ]

J. C. Wood  Explicit constructions of harmonic maps [ MR 2796640 ]

P. Baird and M. Wehbe  Discrete harmonic map heat flow on a finite graph [ MR 2796641 ]

G. Bande and D. Kotschick  Contact pairs and locally conformally symplectic structures [ MR 2796642 ]

E. Musso  Congruence curves of the GoldsteinPetrich flows [ MR 2796643 ]

Hui Ma and Yoshihiro Ohnita  Differential geometry of Lagrangian submanifolds and Hamiltonian variational problems [ MR 2796644 ]

L. Ornea and M. Verbitsky  A report on locally conformally Kähler manifolds [ MR 2796645 ]

M. Rigoli, M. Salvatori and M. Vignati  $k$Hessian differential inequalities and the compact support principle [ MR 2796646 ]

H. Urakawa  The geometry of biharmonic maps [ MR 2796647 ]

G. Calvaruso  Constructing metrics with prescribed geometry [ MR 2796648 ]

J. Bolton and L. Fernández  On the regularity of the space of harmonic 2spheres in the 4sphere [ MR 2796649 ]

S. Heller  Conformal fibrations of $\Bbb S^3$ by circles [ MR 2796650 ]

K. Leschke  Harmonic map methods for Willmore surfaces [ MR 2796651 ]

F. Mercuri, S. Montaldo and I. I. Onnis  Some remarks on invariant surfaces and their extrinsic curvature [ MR 2796652 ]

P. Baird, E. Loubeau and C. Oniciuc  Harmonic and biharmonic maps from surfaces [ MR 2796653 ]

J. Jost and F. M. Şimşir  Nondivergence harmonic maps [ MR 2796654 ]

R. Slobodeanu  A note on highercharge configurations for the FaddeevHopf model [ MR 2796655 ]

J. Q. Ge and Z. Z. Tang  A survey on the DDVV conjecture [ MR 2796656 ]

G. Bande and A. Hadjar  On the characteristic foliations of metric contact pairs [ MR 2796657 ]

C.L. Bejan  A note on $\eta $Einstein manifolds [ MR 2796658 ]

M. I. Munteanu and A. I. Nistor  Minimal and flat surfaces in $\Bbb H^2\times \Bbb R$ with canonical coordinates [ MR 2796659 ]

R. C. Voicu  Ricci curvature properties and stability on 3dimensional Kenmotsu manifolds [ MR 2796660 ]

S. Gudmundsson and M. Svensson  On the existence of harmonic morphisms from threedimensional Lie groups [ MR 2796661 ]


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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, GoldsteinPedrich flows, contact pairs, prescribed Ricci curvature, conformal fibrations, the FadeevHopf model, the Compact Support Principle and the curvature of surfaces.
Graduate students and research mathematicians interested in differential geometry and harmonic maps.

Articles

John C. Wood  Thirtynine years of harmonic maps [ MR 2796638 ]

A. Gerding, F. Pedit and N. Schmitt  Constant mean curvature surfaces: an integrable systems perspective [ MR 2796639 ]

J. C. Wood  Explicit constructions of harmonic maps [ MR 2796640 ]

P. Baird and M. Wehbe  Discrete harmonic map heat flow on a finite graph [ MR 2796641 ]

G. Bande and D. Kotschick  Contact pairs and locally conformally symplectic structures [ MR 2796642 ]

E. Musso  Congruence curves of the GoldsteinPetrich flows [ MR 2796643 ]

Hui Ma and Yoshihiro Ohnita  Differential geometry of Lagrangian submanifolds and Hamiltonian variational problems [ MR 2796644 ]

L. Ornea and M. Verbitsky  A report on locally conformally Kähler manifolds [ MR 2796645 ]

M. Rigoli, M. Salvatori and M. Vignati  $k$Hessian differential inequalities and the compact support principle [ MR 2796646 ]

H. Urakawa  The geometry of biharmonic maps [ MR 2796647 ]

G. Calvaruso  Constructing metrics with prescribed geometry [ MR 2796648 ]

J. Bolton and L. Fernández  On the regularity of the space of harmonic 2spheres in the 4sphere [ MR 2796649 ]

S. Heller  Conformal fibrations of $\Bbb S^3$ by circles [ MR 2796650 ]

K. Leschke  Harmonic map methods for Willmore surfaces [ MR 2796651 ]

F. Mercuri, S. Montaldo and I. I. Onnis  Some remarks on invariant surfaces and their extrinsic curvature [ MR 2796652 ]

P. Baird, E. Loubeau and C. Oniciuc  Harmonic and biharmonic maps from surfaces [ MR 2796653 ]

J. Jost and F. M. Şimşir  Nondivergence harmonic maps [ MR 2796654 ]

R. Slobodeanu  A note on highercharge configurations for the FaddeevHopf model [ MR 2796655 ]

J. Q. Ge and Z. Z. Tang  A survey on the DDVV conjecture [ MR 2796656 ]

G. Bande and A. Hadjar  On the characteristic foliations of metric contact pairs [ MR 2796657 ]

C.L. Bejan  A note on $\eta $Einstein manifolds [ MR 2796658 ]

M. I. Munteanu and A. I. Nistor  Minimal and flat surfaces in $\Bbb H^2\times \Bbb R$ with canonical coordinates [ MR 2796659 ]

R. C. Voicu  Ricci curvature properties and stability on 3dimensional Kenmotsu manifolds [ MR 2796660 ]

S. Gudmundsson and M. Svensson  On the existence of harmonic morphisms from threedimensional Lie groups [ MR 2796661 ]