Blair K. SpearmanDepartment of Mathematics and Statistics, University of British Columbia OkanaganKenneth S. WilliamsSchool of Mathematics and Statistics, Carleton University
We compute the$L$^{$p$}-cohomology spaces of some negatively curved manifolds. We deal with two cases: manifolds with finite volume and sufficiently pinched negative curvature, and conformally compact manifolds.
Using rearrangements of matrix-valued sequences, we prove that with certain boundary conditions the solution of the one-dimensional Schrödinger equation increases or decreases under monotone rearrangements of its potential.
Sergey IvashkovichDépartement de Mathématiques, Université Lille ISergey PinchukDepartment of Mathematics, Indiana UniversityJean-Pierre RosayDepartment of Mathematics, University of Wisconsin