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Tubes pp 209-229 | Cite as

Steiner’s Formula

  • Alfred Gray
Part of the Progress in Mathematics book series (PM, volume 221)

Abstract

In 1840 J. Steiner [Sr] studied convex regions in 2- and 3-dimensional Euclidean space; he obtained a formula for the volume of the convex regionB r consisting of those points whose distance from a given convex region B is less than or equal to r. In this chapter we put Steiner’s Formula into the same general framework as Weyl’s Tube Formula.

Keywords

Riemannian Manifold Ricci Curvature Shape Operator Convex Region Nonpositive Curvature 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Basel AG 2004

Authors and Affiliations

  • Alfred Gray

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