Width of convex bodies in spaces of constant curvature
نویسنده
چکیده
We consider the measure of points, the measure of lines and the measure of planes intersecting a given convex body K in a space form. We obtain some integral formulas involving the width of K and the curvature of its boundary ∂K . Also we study the special case of constant width. Moreover we obtain a generalisation of the Heintze–Karcher inequality to space forms.
منابع مشابه
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تاریخ انتشار 2008