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On C-1-robust transitivity of volume-preserving flows

Title
On C-1-robust transitivity of volume-preserving flows
Type
Article in International Scientific Journal
Year
2008
Authors
Mario Bessa
(Author)
Other
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Journal
Vol. 245
Pages: 3127-3143
ISSN: 0022-0396
Publisher: Elsevier
Scientific classification
FOS: Natural sciences > Mathematics
Other information
Authenticus ID: P-003-THZ
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
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