2 papers
math.DG2005
The Boundary between Compact and Noncompact Complete Riemann Manifolds
D. Holcman, C. Pugh
In 1941 Sumner Myers proved that if the Ricci curvature of a complete Riemann manifold has a positive infimum then the manifold is compact and its diameter is bounded in terms of t…
math.DS2002
Partial differentiability of invariant splittings
Charles Pugh, Michael Shub, Amie Wilkinson
A key feature of a general nonlinear partially hyperbolic dynamical system is the absence of differentiability of its invariant splitting. In this paper, we show that often partial…