Indice d'un hérisson: étude et applications

• Autores: Yves Martínez-Maure
• Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 44, Nº 1, 2000, págs. 237-255
• Idioma: francés
• DOI: 10.5565/publmat_44100_09
• Títulos paralelos:
  • Indice de un erizo: estudio y aplicaciones
• Enlaces
  • Texto completo
• Resumen

  • 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.