Surveys on Geometry and Integrable Systems

9th International Research Institute of the Mathematical Society of Japan, on Integrable Systems in Differential Geometry

July 17–21, 2000 | University of Tokyo, Tokyo, Japan

Editor(s) Martin Guest, Reiko Miyaoka, Yoshihiro Ohnita

Adv. Stud. Pure Math., 51: 510pp. (2008). DOI: 10.2969/aspm/05110000

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Advanced Studies in Pure Mathematics, Volume 51

510 pp.

Published: 2008

First available in Project Euclid: 16 December 2018

MathSciNet: MR2499599

Digital Object Identifier: 10.2969/aspm/05110000

ISBN: 9784864970013

Subjects:

Primary: 53-06

Secondary: 37-06 , 37K10 , 37K25 , 58-06

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Volume 51 title pages

Advanced Studies in Pure Mathematics Vol. 51, - (2008). Open Access

Preface

Martin Guest , Reiko Miyaoka , Yoshihiro Ohnita

Advanced Studies in Pure Mathematics Vol. 51, - (2008). Open Access

CONTENTS

Advanced Studies in Pure Mathematics Vol. 51, - (2008). Open Access

Exploring surfaces through methods from the theory of integrable systems: The Bonnet problem

Alexander I. Bobenko

Advanced Studies in Pure Mathematics Vol. 51, 1-53 (2008). https://doi.org/10.2969/aspm/05110001 Open Access

KEYWORDS: 53A05

Generalized Weierstraß representations of surfaces

Josef Dorfmeister

Advanced Studies in Pure Mathematics Vol. 51, 55-111 (2008). https://doi.org/10.2969/aspm/05110055 Open Access

KEYWORDS: 58E20

Timelike surfaces with harmonic inverse mean curvature

Atsushi Fujioka , Jun-ichi Inoguchi

Advanced Studies in Pure Mathematics Vol. 51, 113-141 (2008). https://doi.org/10.2969/aspm/05110113 Open Access

KEYWORDS: 37K25, 53C42, 53C50

Darboux transformations and generalized self-dual Yang-Mills flows

Gu Chaohao

Advanced Studies in Pure Mathematics Vol. 51, 143-161 (2008). https://doi.org/10.2969/aspm/05110143 Open Access

KEYWORDS: 35Q51, 35Q58, 70S15

From CMC surfaces to Hamiltonian stationary Lagrangian surfaces

Frédéric Hélein , Pascal Romon

Advanced Studies in Pure Mathematics Vol. 51, 163-187 (2008). https://doi.org/10.2969/aspm/05110163 Open Access

KEYWORDS: 49Q05, 53C42

Special Lagrangian 3-folds and integrable systems

Dominic Joyce

Advanced Studies in Pure Mathematics Vol. 51, 189-233 (2008). https://doi.org/10.2969/aspm/05110189 Open Access

Quantum product, topological recursion relations, and the Virasoro conjecture

Xiaobo Liu

Advanced Studies in Pure Mathematics Vol. 51, 235-257 (2008). https://doi.org/10.2969/aspm/05110235 Open Access

KEYWORDS: 53D45, 14N35

A generalized Weierstrass representation for a submanifold $S$ in $\mathbb{E}^n$ arising from the submanifold Dirac operator

Shigeki Matsutani

Advanced Studies in Pure Mathematics Vol. 51, 259-283 (2008). https://doi.org/10.2969/aspm/05110259 Open Access

KEYWORDS: 53C42

Harmonic tori and their spectral data

Ian McIntosh

Advanced Studies in Pure Mathematics Vol. 51, 285-314 (2008). https://doi.org/10.2969/aspm/05110285 Open Access

KEYWORDS: 53C43

Isoparametric geometry and related fields

Reiko Miyaoka

Advanced Studies in Pure Mathematics Vol. 51, 315-337 (2008). https://doi.org/10.2969/aspm/05110315 Open Access

KEYWORDS: 53C42

Kähler Ricci solitons

Henrik Pedersen

Advanced Studies in Pure Mathematics Vol. 51, 339-345 (2008). https://doi.org/10.2969/aspm/05110339 Open Access

KEYWORDS: 53C25, 53C55

Period problems for mean curvature one surfaces in $H^3$ (with applications to surfaces of low total curvature)

Wayne Rossman , Masaaki Umehara , Kotaro Yamada

Advanced Studies in Pure Mathematics Vol. 51, 347-399 (2008). https://doi.org/10.2969/aspm/05110347 Open Access

KEYWORDS: 53A10

Geometries and symmetries of soliton equations and integrable elliptic equations

Chuu-Lian Terng

Advanced Studies in Pure Mathematics Vol. 51, 401-488 (2008). https://doi.org/10.2969/aspm/05110401 Open Access

KEYWORDS: 37K25, 53A, 53C

A-integrability of geodesic flows and geodesic equivalence

Peter Topalov

Advanced Studies in Pure Mathematics Vol. 51, 489-510 (2008). https://doi.org/10.2969/aspm/05110489 Open Access

KEYWORDS: 53D25

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