Abstract
We prove a perturbation lemma for the derivative of geodesic flows in high dimension. This implies that a $C^2$ generic riemannian metric has a nontrivial hyperbolic basic set in its geodesic flow.
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MRNUMBER = {37 \#3598},
MRREVIEWER = {M. M. Peixoto},
DOI = {10.1090/S0002-9904-1967-11798-1},
ZBLNUMBER = {0202.55202},
} -
[Veys] W. Veys, "Arc spaces, motivic integration and stringy invariants," in Singularity Theory and its Applications, Tokyo: Math. Soc. Japan, 2006, vol. 43, pp. 529-572.
@incollection {Veys, MRKEY = {2325153},
AUTHOR = {Veys, Willem},
TITLE = {Arc spaces, motivic integration and stringy invariants},
BOOKTITLE = {Singularity Theory and its Applications},
SERIES = {Adv. Stud. Pure Math.},
VOLUME = {43},
PAGES = {529--572},
PUBLISHER = {Math. Soc. Japan},
ADDRESS = {Tokyo},
YEAR = {2006},
MRCLASS = {14E99 (14B05)},
MRNUMBER = {2008g:14023},
MRREVIEWER = {Tommaso De Fernex},
ZBLNUMBER = {1127.14004},
}
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