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Differential geometry and integrable systems : [electronic resource] a conference on integrable systems in differential geometry, University of Tokyo, Japan, July 17-21, 2000 / Martin Guest, Reiko Miyaoka, Yoshihiro Ohnita, editors.

Contributor(s): Guest, Martin A | Miyaoka, Reiko, 1951- | Ohnita, Yoshihiro, 1958-Material type: Text

TextSeries: Contemporary mathematics (American Mathematical Society) ; v. 308.Publication details: Providence, R.I. : American Mathematical Society, 2002Description: 1 online resource (xv, 349 p. : ill.)ISBN: 9780821878989 (online)Subject(s): Geometry, Differential -- Congresses | Hamiltonian systems -- CongressesAdditional physical formats: Differential geometry and integrable systems :DDC classification: 516.3/6 LOC classification: QA641 | .D3847 2002Online resources: Contents | Contents

Contents:

The index of an isolated umbilical point on a surface / Naoya Ando -- http://www.ams.org/conm/308/ http://dx.doi.org/10.1090/conm/308/05308 The Toda equations and equiharmonic maps of surfaces into flag manifolds / John Bolton -- http://www.ams.org/conm/308/ http://dx.doi.org/10.1090/conm/308/05309 $p$-harmonic morphisms: the $1<p<2$ case and some non-trivial examples / Jean-Marie Burel and Eric Loubeau -- http://www.ams.org/conm/308/ http://dx.doi.org/10.1090/conm/308/05310 Schwarzian derivatives and flows of surfaces / Francis Burstall, Franz Pedit and Ulrich Pinkall -- http://www.ams.org/conm/308/ http://dx.doi.org/10.1090/conm/308/05311 Anti-self-dual metrics on Lie groups / Vivian De Smedt and Simon Salamon -- http://www.ams.org/conm/308/ http://dx.doi.org/10.1090/conm/308/05312 Weierstra�-type representation of timelike surfaces with constant mean curvature / Josef Dorfmeister, Jun-ichi Inoguchi and Magdalena Toda -- http://www.ams.org/conm/308/ http://dx.doi.org/10.1090/conm/308/05313 A differential-geometric Schottky problem, and minimal surfaces in tori / Norio Ejiri -- http://www.ams.org/conm/308/ http://dx.doi.org/10.1090/conm/308/05314 Surfaces in 3-space possessing nontrivial deformations which preserve the shape operator / E. V. Ferapontov -- http://www.ams.org/conm/308/ http://dx.doi.org/10.1090/conm/308/05315 Hamiltonian stationary Lagrangian surfaces in Hermitian symmetric spaces / Fr�ed�eric H�elein and Pascal Romon -- http://www.ams.org/conm/308/ http://dx.doi.org/10.1090/conm/308/05316 Line congruences and integrable systems / Hesheng Hu -- http://www.ams.org/conm/308/ http://dx.doi.org/10.1090/conm/308/05317 Factorizations of harmonic maps of surfaces into Lie groups by singular dressing actions / Xiaoxiang Jiao -- http://www.ams.org/conm/308/ http://dx.doi.org/10.1090/conm/308/05318 On submersive $p$-harmonic morphisms and their stability / Hong Jin and Xiaohuan Mo -- http://www.ams.org/conm/308/ http://dx.doi.org/10.1090/conm/308/05319 On K�ahler-Liouville manifolds / Kazuyoshi Kiyohara -- http://www.ams.org/conm/308/ http://dx.doi.org/10.1090/conm/308/05320 Minimal surfaces that attain equality in the Chern-Osserman inequality / Masatoshi Kokubu, Masaaki Umehara and Kotaro Yamada -- http://www.ams.org/conm/308/ http://dx.doi.org/10.1090/conm/308/05321 Low dimensional manifolds admitting metrics with the same geodesics / Vladimir S. Matveev -- http://www.ams.org/conm/308/ http://dx.doi.org/10.1090/conm/308/05322 Harmonic maps of finite type into generalized flag manifolds, and twistor fibrations / Yoshihiro Ohnita and Seiichi Udagawa -- http://www.ams.org/conm/308/ http://dx.doi.org/10.1090/conm/308/05323 Submanifolds associated to Grassmannian systems / Joonsang Park -- http://www.ams.org/conm/308/ http://dx.doi.org/10.1090/conm/308/05324 Harmonic cohomology groups of compact symplectic nilmanifolds / Yusuke Sakane and Takumi Yamada -- http://www.ams.org/conm/308/ http://dx.doi.org/10.1090/conm/308/05325 Bonnet pairs in the 3-sphere / Boris A. Springborn -- http://www.ams.org/conm/308/ http://dx.doi.org/10.1090/conm/308/05326 Subspaces in the category of symmetric spaces / Makiko Sumi Tanaka -- http://www.ams.org/conm/308/ http://dx.doi.org/10.1090/conm/308/05327 Integral geometry of submanifolds of real dimension two and codimension two in complex projective spaces / Hiroyuki Tasaki -- http://www.ams.org/conm/308/ http://dx.doi.org/10.1090/conm/308/05328 Jacobi fields along harmonic maps / John C. Wood -- http://www.ams.org/conm/308/ http://dx.doi.org/10.1090/conm/308/05329 Denseness of plain constant mean curvature surfaces in dressing orbits / Hongyou Wu -- http://www.ams.org/conm/308/ http://dx.doi.org/10.1090/conm/308/05330

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Includes bibliographical references.

The index of an isolated umbilical point on a surface / Naoya Ando -- The Toda equations and equiharmonic maps of surfaces into flag manifolds / John Bolton -- $p$-harmonic morphisms: the $1<p<2$ case and some non-trivial examples / Jean-Marie Burel and Eric Loubeau -- Schwarzian derivatives and flows of surfaces / Francis Burstall, Franz Pedit and Ulrich Pinkall -- Anti-self-dual metrics on Lie groups / Vivian De Smedt and Simon Salamon -- Weierstra�-type representation of timelike surfaces with constant mean curvature / Josef Dorfmeister, Jun-ichi Inoguchi and Magdalena Toda -- A differential-geometric Schottky problem, and minimal surfaces in tori / Norio Ejiri -- Surfaces in 3-space possessing nontrivial deformations which preserve the shape operator / E. V. Ferapontov -- Hamiltonian stationary Lagrangian surfaces in Hermitian symmetric spaces / Fr�ed�eric H�elein and Pascal Romon -- Line congruences and integrable systems / Hesheng Hu -- Factorizations of harmonic maps of surfaces into Lie groups by singular dressing actions / Xiaoxiang Jiao -- On submersive $p$-harmonic morphisms and their stability / Hong Jin and Xiaohuan Mo -- On K�ahler-Liouville manifolds / Kazuyoshi Kiyohara -- Minimal surfaces that attain equality in the Chern-Osserman inequality / Masatoshi Kokubu, Masaaki Umehara and Kotaro Yamada -- Low dimensional manifolds admitting metrics with the same geodesics / Vladimir S. Matveev -- Harmonic maps of finite type into generalized flag manifolds, and twistor fibrations / Yoshihiro Ohnita and Seiichi Udagawa -- Submanifolds associated to Grassmannian systems / Joonsang Park -- Harmonic cohomology groups of compact symplectic nilmanifolds / Yusuke Sakane and Takumi Yamada -- Bonnet pairs in the 3-sphere / Boris A. Springborn -- Subspaces in the category of symmetric spaces / Makiko Sumi Tanaka -- Integral geometry of submanifolds of real dimension two and codimension two in complex projective spaces / Hiroyuki Tasaki -- Jacobi fields along harmonic maps / John C. Wood -- Denseness of plain constant mean curvature surfaces in dressing orbits / Hongyou Wu --