An Inequality between the Exterior Diameter and the Mean Curvature of Bounded Immersions.
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Luqesio P. de Jorge, F.V. Xavier (1981)
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In this paper we study the pairs of orthogonal foliations on oriented surfaces immersed in R whose singularities and leaves are, respectively, the umbilic points and the lines of normal mean curvature of the immersion. Along these lines the immersions bend in R according to their normal mean curvature. By analogy with the closely related Principal Curvature Configurations studied in [S-G], [GS2], whose lines produce the extremal for the immersion, the pair of foliations by lines of...
Rolf Walter, Norbert Kleinjohann (1982)
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