arXiv subjects

Mohamad A. Hindawi

Publications and source records attributed to Mohamad A. Hindawi.

2 recordsLinked to original sources

arXiv2005

On the Filling Invariants at Infinity of Hadamard Manifolds

We study the filling invariants at infinity div_{k} for Hadamard manifolds defined by Brady and Farb in [Filling-invariants at infinity for manifolds of nonpositive curvature]. Among other results, we give a positive answer to the question they posed: whether these invariants can be used to detect the rank of a symmetric space of noncompact type.

math.DG↗

arXiv2005

Large Scale Geometry of 4-dimensional Closed Nonpositively Curved Real Analytic Manifolds

We study the asymptotic cones of the universal covering spaces of closed 4-dimensional nonpositively curved real analytic manifolds. We show that the existence of nonstandard components in the Tits boundary, discovered by Christoph Hummel and Victor Schroeder, depends only on the quasi-isometry type of the fundamental group.

math.MG↗