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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
Harmonic Maps and Differential Geometry
Softcover ISBN:  978-0-8218-4987-3
Product Code:  CONM/542
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-0-8218-8221-4
Product Code:  CONM/542.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-4987-3
eBook: ISBN:  978-0-8218-8221-4
Product Code:  CONM/542.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
Harmonic Maps and Differential Geometry
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
Softcover ISBN:  978-0-8218-4987-3
Product Code:  CONM/542
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-0-8218-8221-4
Product Code:  CONM/542.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-4987-3
eBook ISBN:  978-0-8218-8221-4
Product Code:  CONM/542.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 5422011; 284 pp
    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.

    Readership

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

  • Table of Contents
     
     
    • 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 ]
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 5422011; 284 pp
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.

Readership

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 ]
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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