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

著者情報

キーワード: convex integrand, C^∞convex integrand, stable convex integrand, caustic, symmetry set, wave front, index of critical point, Morse inequalities

ジャーナルフリー

2017 年 71 巻 1 号 p. 187-196

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

詳細

抄録

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.

責任著者(Corresponding author)

ファンド情報

1.助成機関/事業名: Japan Society for the Promotion of Science

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