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.
@article{bwmeta1.element.bwnjournal-article-apmv64z3p267bwm,
author = {Silvano Delladio},
title = {Slicing of generalized surfaces with curvature measures and diameter's estimate},
journal = {Annales Polonici Mathematici},
volume = {63},
year = {1996},
pages = {267-283},
zbl = {0865.49029},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-apmv64z3p267bwm}
}
Silvano Delladio. Slicing of generalized surfaces with curvature measures and diameter's estimate. Annales Polonici Mathematici, Tome 63 (1996) pp. 267-283. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv64z3p267bwm/
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