Kenmotsu type representation formula for surfaces with prescribed mean curvature in the $3$-sphere
Aiyama, Reiko ; Akutagawa, Kazuo
Tohoku Math. J. (2), Tome 52 (2000) no. 4, p. 95-105 / Harvested from Project Euclid
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Our primary object of this paper is to give a representation formula for a surface with prescribed mean curvature in the (metric) 3-sphere by means of a single component of the generalized Gauss map. For a CMC (constant mean curvature) surface, we derive another representation formula by means of the adjusted Gauss map. These formulas are spherical versions of the Kenmotsu representation formula for surfaces in the Euclidean 3-space. Spin versions of them are obtained as well.
Publié le : 2000-05-14
Classification:  53A10,  53C27 
@article{1178224660,
     author = {Aiyama, Reiko and Akutagawa, Kazuo},
     title = {Kenmotsu type representation formula for surfaces with prescribed mean curvature in the $3$-sphere},
     journal = {Tohoku Math. J. (2)},
     volume = {52},
     number = {4},
     year = {2000},
     pages = { 95-105},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1178224660}
}

Aiyama, Reiko; Akutagawa, Kazuo. Kenmotsu type representation formula for surfaces with prescribed mean curvature in the $3$-sphere. Tohoku Math. J. (2), Tome 52 (2000) no. 4, pp.  95-105. http://gdmltest.u-ga.fr/item/1178224660/