Abstract (EN):
We prove that a divergence-free and C-1-robustly transitive vector field has no singularities. Moreover, if the vector field is smooth enough then the linear Poincare flow associated to it admits a dominated splitting over M.
Language:
English
Type (Professor's evaluation):
Scientific
Contact:
bessa@fc.up.pt; jrocha@fc.up.pt
No. of pages:
17