4 papers
On the existence of global cross sections to volume-preserving flows
Slobodan N. SimiÄ
We establish a new criterion for the existence of a global cross section to a non-singular volume-preserving flow on a closed smooth manifold . Namely, if is the infini…
The Livšic equation on differential forms over Anosov flows and applications
Slobodan N. SimiÄ
The goal of this paper is to explore the relationship between the geometric properties of an Anosov flow on a closed manifold and the analytic properties of its infinitesimal g…
A short introduction to geometric control theory
Slobodan N. SimiÄ
The goal of this expository paper is to present the basics of geometric control theory suitable for advanced undergraduate or beginning graduate students with a solid background in…
A Frobenius integrability theorem for plane fields generated by quasiconformal deformations
Slobodan N. SimiÄ
We generalize the classical Frobenius integrability theorem to plane fields of class , a regularity class introduced by Reimann [Rei76] for vector fields in Euclidean spaces.…