365体育网站

365体育网站Advertisement

Springer Nature is making SARS-CoV-2 and COVID-19 research free. View research | View latest news | Sign up for updates

The spherical conjecture in Minkowski geometry

Abstract.

We show that the shapes of convex bodies containing m translates of a convex body K, so that their Minkowskian surface area is minimum, tends for growing m to a convex body L.

This is a preview of subscription content, log in to check access.

Author information

Correspondence to Achill Schürmann.

Additional information

Received: 7 January 2002

Rights and permissions

About this article

Cite this article

Schürmann, A. The spherical conjecture in Minkowski geometry. Arch. Math. 83, 381–384 (2004). http://doi.org/10.1007/s00013-004-4617-0

Download citation

  • Issue Date:

Mathematics Subject Classification (2000).

  • 05B40
  • 52A39
  • 52A40
  • 51B20
  • 52C17