STABILITY OF C∞ CONVEX INTEGRANDS

Erica Boizan BATISTA; Huhe HAN; Takashi NISHIMURA

doi:10.2206/kyushujm.71.187

STABILITY OF C^∞CONVEX INTEGRANDS

Erica Boizan BATISTA, Huhe HAN, Takashi NISHIMURA

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Keywords: convex integrand, C^∞convex integrand, stable convex integrand, caustic, symmetry set, wave front, index of critical point, Morse inequalities

JOURNAL FREE ACCESS

2017 Volume 71 Issue 1 Pages 187-196

DOI https://doi.org/10.2206/kyushujm.71.187

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Abstract

In this paper, it is shown that the set consisting of stable convex integrands Sⁿ → R₊ is open and dense in the set consisting of C^∞convex integrands with respect to Whitney C^∞topology. Moreover, examples are given representing well why stable convex integrands are preferred.

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Funder information

1.Fund name: Japan Society for the Promotion of Science

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