Stability of $C^{\infty }$ convex integrands

Abstract

In this paper, it is shown that the set consisting of stable convex integrands $S^n\to {\mathbb{R}}_{+}$ is open and dense in the set consisting of $C^{\infty }$ convex integrands with respect to Whitney $C^{\infty }$ topology. Moreover, an application of the proof of this result is also shown.

7 pages

References in corpus (1)

• Recognizable classification of Lorentzian distance-squared mappings