5 citations · 6 across the 4 of their papers we have counts for
6 papers · 1 filter
On the Stability of Kähler-Einstein Metrics
Xianzhe Dai, Xiaodong Wang, Guofang Wei
Using spin structure we prove that Kähler-Einstein metrics with nonpositive scalar curvature are stable (in the direction of changes in conformal structures) as the critical po…
The covering spectrum of a compact length space
Christina Sormani, Guofang Wei
We define a new spectrum for compact length spaces and Riemannian manifolds called the "covering spectrum" which roughly measures the size of the one dimensional holes in the space…
On the Stability of Riemannian Manifold with Parallel Spinors
Xianzhe Dai, Xiaodong Wang, Guofang Wei
Inspired by the recent work of Physicists Hertog-Horowitz-Maeda, we prove two stability results for compact Riemannian manifolds with nonzero parallel spinors. Our first result say…
Universal Covers for Hausdorff Limits of Noncompact Spaces
Christina Sormani, Guofang Wei
We prove that if is the Gromov-Hausdorff limit of a sequence of complete manifolds, , with a uniform lower bound on Ricci curvature then has a universal cover.
Metrics of positive Ricci curvature on vector bundles over nilmanifolds
Igor Belegradek, Guofang Wei
We construct metrics of positive Ricci curvature on some vector bundles over tori (or more generally, over nilmanifolds). This gives rise to the first examples of manifolds with po…
A Heat Kernel Lower Bound for Integral Ricci Curvature
Xianzhe Dai, Guofang Wei
In this note we give a heat kernel lower bound in term of integral Ricci curvature, extending Cheeger-Yau's estimate.