Remarks on a construction of Duistermaat

Authors

  • Anthony Small

DOI:

https://doi.org/10.7146/math.scand.a-14439

Abstract

A construction of Duistermaat's, in which an auxiliary holomorphic curve in the line bundle O(4) on P1 is associated to a minimal surface in R3, is described in a new way and generalised to minimal surfaces in Rn. If the minimal surface is complete and has finite total curvature then the auxiliary curve is algebraic.

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Published

2004-06-01

How to Cite

Small, A. (2004). Remarks on a construction of Duistermaat. MATHEMATICA SCANDINAVICA, 94(2), 202–206. https://doi.org/10.7146/math.scand.a-14439

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Section

Articles