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학술저널

MEASURE EXPANDING SURFACE DIFFEOMORPHISMS

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Journal of the Chungcheong Mathematical Society Volume 38, No. 4.jpg

This paper shows that if a diffeomorphism f : M →M of a compact smooth manifold M has a homoclinic tangency associated with a hyperbolic periodic point p, then there exists a diffeomorphism g : M → M , C -nearby f , such that g is not measure expanding.

1. Introduction and Basic notions

2. Proof of main Theorem

References

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