arXiv subjects

Mehrzad Monzavi

Publications and source records attributed to Mehrzad Monzavi.

2 recordsLinked to original sources

arXiv2016

Fixed point properties of nilpotent and solvable Lie group actions on Hadamard manifolds

We will prove the following theorems. The first theorem posits the existence of a fixed point for the actions of nilpotent Lie groups on nonpositively curved compact manifolds. The second theorem states that actions of solvable Lie groups on nonpositively curved compact manifolds have either a fixed point or a 2-periodic point.

math.GR↗

arXiv2014

On Invariant Sets of Diffeomorphisms

We give a simple upper bound for the upper box dimension of a backward invariant set of a $C^{1}$-diffeomorphism of a Riemannian manifold. We also estimate an upper bound for the box dimension of a forward invariant set of a $C^{1}$-mapping with finite Brouwer degree in a Riemannian manifold.

math.DS↗