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Super‐conformal surfaces associated with null complex holomorphic curves
Author(s) -
Moriya Katsuhiro
Publication year - 2009
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/bdp005
Subject(s) - holomorphic function , conformal map , mathematics , pure mathematics , euclidean space , euclidean geometry
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.