Darboux transforms of Dupin surfaces

Emilio Musso; Lorenzo Nicolodi

Banach Center Publications (2002)

  • Volume: 57, Issue: 1, page 135-154
  • ISSN: 0137-6934

Abstract

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We present a Möbius invariant construction of the Darboux transformation for isothermic surfaces by the method of moving frames and use it to give a complete classification of the Darboux transforms of Dupin surfaces.

How to cite

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Emilio Musso, and Lorenzo Nicolodi. "Darboux transforms of Dupin surfaces." Banach Center Publications 57.1 (2002): 135-154. <http://eudml.org/doc/281733>.

@article{EmilioMusso2002,
abstract = {We present a Möbius invariant construction of the Darboux transformation for isothermic surfaces by the method of moving frames and use it to give a complete classification of the Darboux transforms of Dupin surfaces.},
author = {Emilio Musso, Lorenzo Nicolodi},
journal = {Banach Center Publications},
keywords = {Möbius frame; isothermic immersion; Dupin cyclides},
language = {eng},
number = {1},
pages = {135-154},
title = {Darboux transforms of Dupin surfaces},
url = {http://eudml.org/doc/281733},
volume = {57},
year = {2002},
}

TY - JOUR
AU - Emilio Musso
AU - Lorenzo Nicolodi
TI - Darboux transforms of Dupin surfaces
JO - Banach Center Publications
PY - 2002
VL - 57
IS - 1
SP - 135
EP - 154
AB - We present a Möbius invariant construction of the Darboux transformation for isothermic surfaces by the method of moving frames and use it to give a complete classification of the Darboux transforms of Dupin surfaces.
LA - eng
KW - Möbius frame; isothermic immersion; Dupin cyclides
UR - http://eudml.org/doc/281733
ER -

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