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Harmonic Maps and Differential Geometry

Edited by: E. Loubeau Université de Bretagne, Brest, France
S. Montaldo University of Cagliari, Cagliari, Italy
Available Formats:
Softcover ISBN: 978-0-8218-4987-3
Product Code: CONM/542
284 pp
List Price: $111.00 MAA Member Price:$99.90
AMS Member Price: $88.80 Electronic ISBN: 978-0-8218-8221-4 Product Code: CONM/542.E 284 pp List Price:$104.00
MAA Member Price: $93.60 AMS Member Price:$83.20
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List Price: $166.50 MAA Member Price:$149.85
AMS Member Price: $133.20 Click above image for expanded view Harmonic Maps and Differential Geometry Edited by: E. Loubeau Université de Bretagne, Brest, France S. Montaldo University of Cagliari, Cagliari, Italy Available Formats:  Softcover ISBN: 978-0-8218-4987-3 Product Code: CONM/542 284 pp  List Price:$111.00 MAA Member Price: $99.90 AMS Member Price:$88.80
 Electronic ISBN: 978-0-8218-8221-4 Product Code: CONM/542.E 284 pp
 List Price: $104.00 MAA Member Price:$93.60 AMS Member Price: $83.20 Bundle Print and Electronic Formats and Save! This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version. List Price:$166.50
MAA Member Price: $149.85 AMS Member Price:$133.20
• Book Details

Contemporary Mathematics
Volume: 5422011
MSC: 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, Goldstein-Pedrich flows, contact pairs, prescribed Ricci curvature, conformal fibrations, the Fadeev-Hopf 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 - Thirty-nine 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 Goldstein-Petrich 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 2-spheres in the 4-sphere [ 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 - Non-divergence harmonic maps [ MR 2796654 ]
• R. Slobodeanu - A note on higher-charge configurations for the Faddeev-Hopf 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 3-dimensional Kenmotsu manifolds [ MR 2796660 ]
• S. Gudmundsson and M. Svensson - On the existence of harmonic morphisms from three-dimensional Lie groups [ MR 2796661 ]

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Volume: 5422011
MSC: 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, Goldstein-Pedrich flows, contact pairs, prescribed Ricci curvature, conformal fibrations, the Fadeev-Hopf 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 - Thirty-nine 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 Goldstein-Petrich 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 2-spheres in the 4-sphere [ 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 - Non-divergence harmonic maps [ MR 2796654 ]
• R. Slobodeanu - A note on higher-charge configurations for the Faddeev-Hopf 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 3-dimensional Kenmotsu manifolds [ MR 2796660 ]
• S. Gudmundsson and M. Svensson - On the existence of harmonic morphisms from three-dimensional Lie groups [ MR 2796661 ]
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