Translator Disclaimer
February 2010 Complex surfaces of constant mean curvature fibered by minimal surfaces
Josef DORFMEISTER, Shimpei KOBAYASHI, Franz PEDIT
Hokkaido Math. J. 39(1): 1-55 (February 2010). DOI: 10.14492/hokmj/1274275018

Abstract

We define complex constant mean curvature immersions in complex three space using a natural extension of constant mean curvature immersions in Euclidean three space via loop group techniques. We then discuss the fundamental properties of these complex constant mean curvature immersions. In particular, we prove that these immersions are doubly ruled by holomorphic null curves. We present a construction of minimal immersions from constant mean curvature immersions in Euclidean three space via the associated complex constant mean curvature immersions.

Citation

Download Citation

Josef DORFMEISTER. Shimpei KOBAYASHI. Franz PEDIT. "Complex surfaces of constant mean curvature fibered by minimal surfaces." Hokkaido Math. J. 39 (1) 1 - 55, February 2010. https://doi.org/10.14492/hokmj/1274275018

Information

Published: February 2010
First available in Project Euclid: 19 May 2010

zbMATH: 1202.53012
MathSciNet: MR2649325
Digital Object Identifier: 10.14492/hokmj/1274275018

Subjects:
Primary: 53A10

Rights: Copyright © 2010 Hokkaido University, Department of Mathematics

JOURNAL ARTICLE
55 PAGES


SHARE
Vol.39 • No. 1 • February 2010
Back to Top