A global correspondence between CMC-surfaces in $S^3$ and pairs of non-conformal harmonic maps into $S^2$

DOI10.1090/S0002-9939-99-05580-XzbMath0969.53032OpenAlexW1591568211WikidataQ125898760 ScholiaQ125898760MaRDI QIDQ4699601

Kazuo Akutagawa, Reiko Aiyama, Masaaki Umehara, Reiko Naka-Miyaoka

Publication date: 17 November 1999

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-99-05580-x

zbMATH Keywords

constant mean curvature surfacenonconformal harmonic mapreal projective three-spacespherical two-space

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Differential geometric aspects of harmonic maps (53C43)

Related Items (2)

On the moduli space of isometric surfaces with the same mean curvature in 4-dimensional space forms ⋮ Kenmotsu type representation formula for surfaces with prescribed mean curvature in the 3-sphere

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