Geodesic
$C^1$ stable maps: examples without saddles
J. Iglesias1 ; A. Portela1 ; A. Rovella2
1IMERL Facultad de Ingeniería Universidad de La República Julio Herrera y Reissig 565 C.P. 11300, Montevideo, Uruguay
2Centro de Matemática Facultad de Ciencias Universidad de La República Iguá 4225 C.P. 11400 Montevideo, Uruguay
Fundamenta Mathematicae, Tome 208 (2010) no. 1, pp. 23-33
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We give here the first examples of $C^1$ structurally stable maps on manifolds of dimension greater than two that are neither diffeomorphisms nor expanding. It is shown that an Axiom A endomorphism all of whose basic pieces are expanding or attracting is $C^1$ stable. A necessary condition for the existence of such examples is also given.
DOI : 10.4064/fm208-1-2
Keywords: here first examples structurally stable maps manifolds dimension greater neither diffeomorphisms nor expanding shown axiom endomorphism whose basic pieces expanding attracting stable necessary condition existence examples given

J. Iglesias  1   ; A. Portela  1   ; A. Rovella  2

1 IMERL Facultad de Ingeniería Universidad de La República Julio Herrera y Reissig 565 C.P. 11300, Montevideo, Uruguay
2 Centro de Matemática Facultad de Ciencias Universidad de La República Iguá 4225 C.P. 11400 Montevideo, Uruguay 
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J. Iglesias; A. Portela; A. Rovella. $C^1$ stable maps: examples without saddles. Fundamenta Mathematicae, Tome 208 (2010) no. 1, pp. 23-33. doi: 10.4064/fm208-1-2

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