K. Parwani

most citedFixed Points of abelian actions on

S^{2}

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math.DS2005★ 3 cited

Fixed Points of abelian actions on $S^{2}$

John Franks, Michael Handel, Kamlesh Parwani

We prove that if $F$ is a finitely generated abelian group of orientation preserving $C^{1}$ diffeomorphisms of $R^{2}$ which leaves invariant a compact set then there is a common fixe…

math.DS2005

Monotone periodic orbits for torus homeomorphisms

Kamlesh Parwani

Let f be a homeomorphism of the torus isotopic to the identity and suppose that there exists a periodic orbit with a non-zero rotation vector (p/q,r/q), then f has a topologically…

Fixed Points of abelian actions on S2

Monotone periodic orbits for torus homeomorphisms

Fixed Points of abelian actions on $S^{2}$