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math.DG2003
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…
math.DG2003★ 1 cited
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…