Non-degeneracy of extremal points

Min Zhou

Chinese Annals of Mathematics, Series B ›› 2015, Vol. 36 ›› Issue (1) : 45 -50.

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Chinese Annals of Mathematics, Series B ›› 2015, Vol. 36 ›› Issue (1) : 45 -50. DOI: 10.1007/s11401-014-0878-0
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Non-degeneracy of extremal points

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Abstract

For a family of smooth functions, the author shows that, under certain generic conditions, all extremal (minimal and maximal) points are non-degenerate.

Keywords

Non-degeneracy / Extremal point / Generic condition

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Min Zhou. Non-degeneracy of extremal points. Chinese Annals of Mathematics, Series B, 2015, 36(1): 45-50 DOI:10.1007/s11401-014-0878-0

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References

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[1]

Cheng C Q, Zhou M. Hyperbolicity of minimal periodic orbits, 2013
[2]

Mañé R. Generic properties and problems of Lagrangian system. Nonlinearity, 1996, 9: 323-334

[3]

Oliveira E R. Generic properties of Lagrangians on surfaces: The Kupka-Smale theorem. Discrete Contin. Dyn. Syst., 2008, 21: 551-569

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