Geodesic
Slicing of generalized surfaces with curvature measures and diameter's estimate
Annales Polonici Mathematici, Tome 64 (1996) no. 3, pp. 267-283.

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We prove generalizations of Meusnier's theorem and Fenchel's inequality for a class of generalized surfaces with curvature measures. Moreover, we apply them to obtain a diameter estimate.
DOI : 10.4064/ap-64-3-267-283
Keywords: generalized Gauss graphs, rectifiable currents, generalized curvatures, Meusnier theorem, Fenchel inequality, diameter estimate

Silvano Delladio 1

1 
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Silvano Delladio. Slicing of generalized surfaces with curvature measures and diameter's estimate. Annales Polonici Mathematici, Tome 64 (1996) no. 3, pp. 267-283. doi : 10.4064/ap-64-3-267-283. http://geodesic.mathdoc.fr/articles/10.4064/ap-64-3-267-283/

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