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Indice d'un hérisson: étude et applications.

Yves Martínez-Maure (2000)

Publicacions Matemàtiques

Hedgehogs are a natural generalization of convex bodies of class C+2. After recalling some basic facts concerning this generalization, we use the notion of index to study differential and integral geometries of hedgehogs.As applications, we prove a particular case of the Tennis Ball Theorem and a property of normals to a plane convex body of constant width.

Inequalities for radial Blaschke-Minkowski homomorphisms

Bo Wei, Weidong Wang, Fenghong Lu (2015)

Annales Polonici Mathematici

We establish L p Brunn-Minkowski type inequalities for radial Blaschke-Minkowski homomorphisms, which in special cases yield some new results for intersection bodies. Moreover, we obtain two monotonicity inequalities for radial Blaschke-Minkowski homomorphisms.

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