Algebraic minimal surfaces in R4

Authors

  • Anthony Small

DOI:

https://doi.org/10.7146/math.scand.a-14432

Abstract

There exists a natural correspondence between null curves in C4 and "free" curves on O(1)O(1); it underlies the existence of "Weierstrass type formulae" for minimal surfaces in R4. The construction determines correspondences for minimal surfaces in R3, and constant mean curvature 1 surfaces in H3; moreover it facilitates the study of symmetric minimal surfaces in R4.

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Published

2004-03-01

How to Cite

Small, A. (2004). Algebraic minimal surfaces in R4. MATHEMATICA SCANDINAVICA, 94(1), 109–124. https://doi.org/10.7146/math.scand.a-14432

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Section

Articles