Density of hyperbolicity and tangencies in sectional dissipative regions

Martin Sambarino | Pujals, Enrique R.

Keywords:

In the present paper we show that in sectionally dissipative region of the Limit set (noted with $L(f,1)$) either hold that $f$ can be $C^1$-approximated by a diffeomorphism exhibiting a sectional dissipative homoclinic tangency or by another one such that $L(f,1)$ is a hyperbolic compact set. The prof goes extending some results on dominated splitting obtained in compact surfaces.

Anexos:

• maincodII-new3.ps