10 citations · 28 across the 10 of their papers we have counts for
Showing 1999 · math.DGShow all
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math.DG1999
On the spectrum of a finite-volume negatively-curved manifold
John Lott
We show that a noncompact manifold with bounded sectional curvature, whose ends are sufficiently Gromov-Hausdorff close to rays, has a finite dimensional space of square-integrable…
math.DG1999
On the homotopy invariance of higher signatures for manifolds with boundary
Eric Leichtnam, John Lott, Paolo Piazza
If M is a compact oriented manifold-with-boundary whose fundamental group is virtually nilpotent or Gromov-hyperbolic, we show that the higher signatures of M are oriented-homotopy…
math.DG1999
Collapsing and the Differential Form Laplacian : The Case of a Smooth Limit Space
John Lott
We analyze the limit of the p-form Laplacian under a collapse, with bounded sectional curvature and bounded diameter, to a smooth limit space. As an application, we characterize wh…