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math.DG2015★ 23 cited
Cosmological singularity theorems and splitting theorems for N-Bakry-Emery spacetimes
Eric Woolgar, William Wylie
We study Lorentzian manifolds with a weight function such that the -Bakry-Émery tensor is bounded below. Such spacetimes arise in the physics of scalar-tensor gravitation theori…
math.DG2015
A warped product version of the Cheeger-Gromoll splitting theorem
William Wylie
We prove a new generalization of the Cheeger-Gromoll splitting theorem where we obtain a warped product splitting under the existence of a line. The curvature condition in our spli…
math.DG2015★ 3 cited
Some curvature pinching results for Riemannian manifolds with density
William Wylie
In this note we consider versions of both Ricci and sectional curvature pinching for Riemannian manifold with density. In the Ricci curvature case the main result implies a diamete…