Journal article
Helicoids of constant mean curvature and their Gauss maps
Pacific journal of mathematics, Vol.110(no. 2), pp.387-396
1984
DOI: 10.2140/pjm.1984.110.387
Abstract
A helicoidal surface in R3 is a natural generalization of a surface of revolution. We give a simple description via the theory of harmonic maps of the Gauss maps and Gaussian images of complete helicoidal surfaces of constant mean curvature in R3. Do Carmo had conjectured that the Gaussian image of such a surface contained an equator. This is true for the complete surfaces of revolution of constant mean curvatures in R3 and we affirm this for helicoids of constant mean curvature. © 1984 by Pacific Journal of Mathematics.
Details
- Title: Subtitle
- Helicoids of constant mean curvature and their Gauss maps
- Creators
- Walter Seaman
- Resource Type
- Journal article
- Publication Details
- Pacific journal of mathematics, Vol.110(no. 2), pp.387-396
- Publisher
- Pacific Journal of Mathematics, A Non-profit Corporation
- DOI
- 10.2140/pjm.1984.110.387
- ISSN
- 0030-8730
- eISSN
- 1945-5844
- Date published
- 1984
- Academic Unit
- Mathematics
- Record Identifier
- 9984241154002771
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