Abstract
I want to discuss some aspects of the theory of hypersurfaces of constant mean curvature H. The subject is intimately related to the theory of minimal hypersurfaces which corresponds to the case H = 0. There are, however, some striking differences between the two cases, and this can already be made clear in the simplest situation of surfaces in the euclidean three-space R 3.
This is an expanded version of a lecture given at the III International Symposium of Differential Geometry, at Peiiiscola, Spain, 1988.
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Carmo, M.P.d. (2012). Hypersurfaces of Constant Mean Curvature. In: Tenenblat, K. (eds) Manfredo P. do Carmo – Selected Papers. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25588-5_23
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