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Bulletin of the London Mathematical Society Advance Access originally published online on March 4, 2009
Bulletin of the London Mathematical Society 2009 41(2):327-331; doi:10.1112/blms/bdp005
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© 2009 London Mathematical Society

Super-conformal surfaces associated with null complex holomorphic curves

Katsuhiro Moriya

Institute of Mathematics
University of Tsukuba
1-1-1 Tennodai, Tsukuba-shi
Ibaraki-ken 305-8571
Japan

Received 1 June 2007. Revision received 21 October 2008.

A correspondence from a null complex holomorphic curve in four-dimensional complex Euclidean space to a super-conformal surface in four-dimensional Euclidean space is defined by the quaternionic theory of surfaces. As an application, a transformation of super-conformal surfaces is defined.

2000 Mathematics Subject Classification 53C42 (primary), 53A10 (secondary).

Partly supported by the Grant-in-Aid for Young Scientists (B) no. 19740028, The Ministry of Education, Culture, Sports, Science and Technology, Japan.


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