Geometry & Topology Volume 22, issue 4 (2018)

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Surgery for partially hyperbolic dynamical systems, I: Blow-ups of invariant submanifolds

Andrey Gogolev

Geometry & Topology 22 (2018) 2219–2252

DOI: 10.2140/gt.2018.22.2219

Bibliography

1	M I Brin, J B Pesin, Partially hyperbolic dynamical systems, Izv. Akad. Nauk SSSR Ser. Mat. 38 (1974) 170 MR0343316
2	K Burns, A Wilkinson, Dynamical coherence and center bunching, Discrete Contin. Dyn. Syst. 22 (2008) 89 MR2410949
3	P Carrasco, F Rodriguez Hertz, J Rodriguez Hertz, R Ures, Partially hyperbolic dynamics in dimension 3, preprint (2015) arXiv:1501.00932
4	A Denjoy, Sur les courbes définies par les équations différentielles à la surface du tore, J. Math. Pures Appl. 11 (1932) 333
5	J Franks, B Williams, Anomalous Anosov flows, from: "Global theory of dynamical systems" (editors Z Nitecki, C Robinson), Lecture Notes in Math. 819, Springer (1980) 158 MR591182
6	A Gogolev, P Ontaneda, F Rodriguez Hertz, New partially hyperbolic dynamical systems, I, Acta Math. 215 (2015) 363 MR3455236
7	A Hammerlindl, R Potrie, Partial hyperbolicity and classification: a survey, preprint (2015) arXiv:1511.04471
8	M Handel, W P Thurston, Anosov flows on new three manifolds, Invent. Math. 59 (1980) 95 MR577356
9	B Hasselblatt, Y Pesin, Partially hyperbolic dynamical systems, from: "Handbook of dynamical systems" (editors B Hasselblatt, A Katok), Elsevier (2006) 1 MR2186241
10	M W Hirsch, C C Pugh, M Shub, Invariant manifolds, 583, Springer (1977) MR0501173
11	D Huybrechts, Complex geometry: an introduction, Springer (2005) MR2093043
12	M A I., On a class of homogeneous spaces, Izv. Akad. Nauk SSSR Ser. Mat. 13 (1949) 9
13	A Katok, Bernoulli diffeomorphisms on surfaces, Ann. of Math. 110 (1979) 529 MR554383
14	A Katok, J Lewis, Global rigidity results for lattice actions on tori and new examples of volume-preserving actions, Israel J. Math. 93 (1996) 253 MR1380646
15	P Petersen, Riemannian geometry, 171, Springer (2006) MR2243772
16	F Rodriguez Hertz, M A Rodriguez Hertz, R Ures, A survey of partially hyperbolic dynamics, from: "Partially hyperbolic dynamics, laminations, and Teichmüller flow" (editors G Forni, M Lyubich, C Pugh, M Shub), Fields Inst. Commun. 51, Amer. Math. Soc. (2007) 35 MR2388690
17	F Rodriguez Hertz, M A Rodriguez Hertz, R Ures, Partial hyperbolicity and ergodicity in dimension three, J. Mod. Dyn. 2 (2008) 187 MR2383266
18	R Sacksteder, Strongly mixing transformations, from: "Global analysis" (editors S S Chern, S Smale), Proceedings of Symposia in Pure Mathematics XIV, Amer. Math. Soc. (1970) 245 MR0415684
19	S Smale, Differentiable dynamical systems, Bull. Amer. Math. Soc. 73 (1967) 747 MR0228014
20	C W Stark, Blowup and fixed points, from: "Geometry and topology in dynamics" (editors M Barge, K Kuperberg), Contemp. Math. 246, Amer. Math. Soc. (1999) 239 MR1732384
21	P Tomter, Anosov flows on infrahomogeneous spaces, PhD thesis, University of California, Berkeley (1969) MR2618263