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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.
Martínez-Maure, Yves. "Indice d'un hérisson: étude et applications.." Publicacions Matemàtiques 44.1 (2000): 237-255. <http://eudml.org/doc/41391>.
@article{Martínez2000, author = {Martínez-Maure, Yves}, journal = {Publicacions Matemàtiques}, keywords = {Envoltura convexa; Hipersuperficies; Tennisballproblem; Normalenproblem für Igel; hedgehog; index; normal}, language = {fre}, number = {1}, pages = {237-255}, title = {Indice d'un hérisson: étude et applications.}, url = {http://eudml.org/doc/41391}, volume = {44}, year = {2000}, }
TY - JOUR AU - Martínez-Maure, Yves TI - Indice d'un hérisson: étude et applications. JO - Publicacions Matemàtiques PY - 2000 VL - 44 IS - 1 SP - 237 EP - 255 LA - fre KW - Envoltura convexa; Hipersuperficies; Tennisballproblem; Normalenproblem für Igel; hedgehog; index; normal UR - http://eudml.org/doc/41391 ER -