Geodesic
On some generalisations of constant mean curvature surfaces
Lobachevskii journal of mathematics, Tome 3 (1999), pp. 73-95

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In this paper we shall study relations between three generalisations of CMC surfaces–Bonnet surfaces, $H$-surfaces and HIMC surfaces. We introduce the notion of HIMC surfaces in space forms and show that HIMC surfaces have similar properties to CMC surfaces. Furthermore we shall introduce a special one-parameter family of framings for $H$-surfaces in the space forms. Through these framings we reveal relationship between the associated family of $H$-surfaces and the extended solutions for harmonic maps into SO(3). 
@article{LJM_1999_3_a3,
     author = {A. Fujioka and J.-i. Inoguchi},
     title = {On some generalisations of constant mean curvature surfaces},
     journal = {Lobachevskii journal of mathematics},
     pages = {73--95},
     publisher = {mathdoc},
     volume = {3},
     year = {1999},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/LJM_1999_3_a3/}
}
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A. Fujioka; J.-i. Inoguchi. On some generalisations of constant mean curvature surfaces. Lobachevskii journal of mathematics, Tome 3 (1999), pp. 73-95. http://geodesic.mathdoc.fr/item/LJM_1999_3_a3/