NDLI: Sectional-Anosov flows

Content Provider	Springer Nature Link
Author	Morales, C. A.
Copyright Year	2008
Abstract	We define sectional-Anosov flow as a vector field on a manifold, inwardly transverse to the boundary, whose maximal invariant set is sectional-hyperbolic (Metzger and Morales in Ergodic Theory Dyn Syst 28:1587–1597, 2008). We obtain properties of sectional-Anosov flows without null-homotopic periodic orbits on compact irreducible 3-manifolds including: incompressibility of transverse torus, non-existence of genus 0 transverse surfaces nor hyperbolic attractors nor hyperbolic repellers and sufficient conditions for the existence of singularities non-isolated in the nonwandering set. These generalize some known facts about Anosov flows.
Ending Page	260
Page Count	8
Starting Page	253
File Format	PDF
ISSN	00269255
e-ISSN	14365081
Journal	Monatshefte für Mathematik
Issue Number	3
Volume Number	159
Language	English
Publisher	Springer Vienna
Publisher Date	2008-11-11
Publisher Place	Vienna
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Partially hyperbolic systems and dominated splittings Topology of general $3$ -manifolds Incompressible surface Anosov flow Mathematics Sectional-hyperbolic set
Content Type	Text
Resource Type	Article
Subject	Mathematics

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Sectional-Anosov flows