arXiv Analytics

Sign in

arXiv:0707.2554 [math.DS]AbstractReferencesReviewsResources

On C1-robust transitivity of volume-preserving flows

M. Bessa, J. Rocha

Published 2007-07-17Version 1

We prove that a divergence-free and C1-robustly transitive vector field has no singularities. Moreover, if the vector field is C4 then the linear Poincare flow associated to it admits a dominated splitting over M.

Related articles: Most relevant | Search more
arXiv:math/0610558 [math.DS] (Published 2006-10-18)
Removing zero Lyapunov exponents in volume-preserving flows
arXiv:1103.5637 [math.DS] (Published 2011-03-29, updated 2013-07-01)
Dominated Splittings for Flows with singularities
arXiv:1806.09011 [math.DS] (Published 2018-06-23)
Starflows with singularities of different indices