247 citations · 544 across the 54 of their papers we have counts for
64 papers
Under Ricci flow, a 3-torus goes flat
John Lott
We determine the long-time behavior of the canonical Ricci flow on a closed three-manifold of Thurston type , Nil, or Sol, starting from an arbitrary initial metric.…
A spinorial quasilocal mass
John Lott
We define a quasilocal energy of a compact manifold-with-boundary, relative to a background manifold. The construction uses spinors on one manifold and the pullback of dual spinors…
On scalar curvature lower bounds and scalar curvature measure
John Lott
We relate the (non)existence of lower scalar curvature bounds to the existence of certain distance-decreasing maps. We also give a sufficient condition for the existence of a limit…
Index theory for scalar curvature on manifolds with boundary
John Lott
We extend results of Llarull and Goette-Semmelmann to manifolds with boundary.
Kasner-like regions near crushing singularities
John Lott
We consider vacuum spacetimes with a crushing singularity. Under some scale-invariant curvature bounds, we relate the existence of Kasner-like regions to the asymptotics of spatial…
Comparison geometry of holomorphic bisectional curvature for Kaehler manifolds and limit spaces
John Lott
We give an analog of triangle comparison for Kaehler manifolds with a lower bound on the holomorphic bisectional curvature. We show that the condition passes to noncollapsed Gromov…