Isothermic submanifolds of symmetric R-spaces

Francis E Burstall; Neil M Donaldson; Franz Pedit; Ulrich Pinkall

doi:10.1515/CRELLE.2011.075

Isothermic submanifolds of symmetric R-spaces

Francis E Burstall
, Neil M Donaldson
, Franz Pedit
, Ulrich Pinkall

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

24 Citations (SciVal)

Abstract

We extend the classical theory of isothermic surfaces in conformal 3-space, due to Bour, Christoffel, Darboux, Bianchi and others, to the more general context of submanifolds of symmetric R-spaces with essentially no loss of integrable structure.

Original language	English
Pages (from-to)	191-243
Number of pages	53
Journal	Journal Fur Die Reine Und Angewandte Mathematik
Volume	2011
Issue number	660
Early online date	13 Apr 2011
DOIs	https://doi.org/10.1515/CRELLE.2011.075
Publication status	Published - Apr 2011

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title = "Isothermic submanifolds of symmetric R-spaces",

abstract = "We extend the classical theory of isothermic surfaces in conformal 3-space, due to Bour, Christoffel, Darboux, Bianchi and others, to the more general context of submanifolds of symmetric R-spaces with essentially no loss of integrable structure.",

author = "Burstall, \{Francis E\} and Donaldson, \{Neil M\} and Franz Pedit and Ulrich Pinkall",

year = "2011",

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AU - Donaldson, Neil M

AU - Pedit, Franz

AU - Pinkall, Ulrich

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N2 - We extend the classical theory of isothermic surfaces in conformal 3-space, due to Bour, Christoffel, Darboux, Bianchi and others, to the more general context of submanifolds of symmetric R-spaces with essentially no loss of integrable structure.

AB - We extend the classical theory of isothermic surfaces in conformal 3-space, due to Bour, Christoffel, Darboux, Bianchi and others, to the more general context of submanifolds of symmetric R-spaces with essentially no loss of integrable structure.

UR - https://www.scopus.com/pages/publications/80755143422

UR - http://dx.doi.org/10.1515/CRELLE.2011.075

U2 - 10.1515/CRELLE.2011.075

DO - 10.1515/CRELLE.2011.075

M3 - Article

SN - 0075-4102

VL - 2011

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EP - 243

JO - Journal Fur Die Reine Und Angewandte Mathematik

JF - Journal Fur Die Reine Und Angewandte Mathematik

IS - 660

ER -

Isothermic submanifolds of symmetric R-spaces

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