80 citations · 291 across the 59 of their papers we have counts for
9 papers · 1 filter
Uniform doubling for abelian products with
Nathaniel Eldredge, Maria Gordina, Laurent Saloff-Coste
We prove that the uniform doubling property holds for every Lie group which can be written as a quotient group of for some . In partic…
Poincaré constant on manifolds with ends
Alexander Grigor'yan, Satoshi Ishiwata, Laurent Saloff-Coste
We obtain optimal estimates of the Poincaré constant of central balls on manifolds with finitely many ends. Surprisingly enough, the Poincaré constant is determined by the second l…
Heat kernel estimates on manifolds with ends with mixed boundary condition
Emily Dautenhahn, Laurent Saloff-Coste
We obtain two-sided heat kernel estimates for Riemannian manifolds with ends with mixed boundary condition, provided that the heat kernels for the ends are well understood. These r…
Geometric analysis on manifolds with ends
Alexander Grigor'yan, Satoshi Ishiwata, Laurent Saloff-Coste
In this survey article, we discuss some recent progress on geometric analysis on manifold with ends. In the final section, we construct manifolds with ends with oscillating volume…
Left-invariant geometries on are uniformly doubling
Nathaniel Eldredge, Maria Gordina, Laurent Saloff-Coste
A classical aspect of Riemannian geometry is the study of estimates that hold uniformly over some class of metrics. The best known examples are eigenvalue bounds under curvature as…
The Backward behavior of the Ricci and Cross Curvature Flows on SL(2,R)
Xiaodong Cao, John Guckenheimer, Laurent Saloff-Coste
This paper is concerned with properties of maximal solutions of the Ricci and cross curvature flows on locally homogeneous three-manifolds of type SL(2,R). We prove that, generical…