論文

査読有り
2015年2月

Discrete special isothermic surfaces

GEOMETRIAE DEDICATA
  • F. Burstall
  • ,
  • U. Hertrich-Jeromin
  • ,
  • W. Rossman
  • ,
  • S. Santos

174
1
開始ページ
1
終了ページ
11
記述言語
英語
掲載種別
研究論文(学術雑誌)
DOI
10.1007/s10711-014-0001-4
出版者・発行元
SPRINGER

We discuss special isothermic nets of type , a new class of discrete isothermic nets, generalizing isothermic nets with constant mean curvature in spaceforms. In the case these are the discrete analogues of Bianchi's special isothermic surfaces that can be regarded as the origin of the rich transformation theory of isothermic surfaces. Accordingly, special isothermic nets come with Backlund transformations and a Lawson correspondence. The notion of complementary nets naturally occurs and sheds further light on the relation between geometry and integrability.

Web of Science ® 被引用回数 : 2

リンク情報
DOI
https://doi.org/10.1007/s10711-014-0001-4
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000348421600001&DestApp=WOS_CPL