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arXiv · 1109.4200

$C^2$-robust heterodimensional tangencies

Shin Kiriki·Teruhiko Soma
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Abstract

In this paper, we give sufficient conditions for the existence of $C^{2}$ robust heterodimensional tangency, and present a nonempty open set in $\Diff^2(M)$ with $\dim(M)\geq 3$ each element of which has a non-degenerate heterodimensional tangency on a $C^2$ robust heterodimensional cycle.

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Shin Kiriki, Teruhiko Soma. 2012-09-27. $C^2$-robust heterodimensional tangencies. https://arxiv.org/abs/1109.4200

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