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math.DG2018
A Compactness Theorem for Rotationally Symmetric Riemannian Manifolds with Positive Scalar Curvature
Jiewon Park, Wenchuan Tian, Changliang Wang
Gromov and Sormani conjectured that sequences of compact Riemannian manifolds with nonnegative scalar curvature and area of minimal surfaces bounded below should have subsequences…
math.DG2018
Instability of some Riemannian manifolds with real Killing spinors
Changliang Wang, M. Y. -K. Wang
We prove the instability of some families of Riemannian manifolds with non-trivial real Killing spinors. These include the invariant Einstein metrics on the Aloff-Wallach spaces $N…
math.DG2018★ 2 cited
Stability of Einstein metrics on fiber bundles
Changliang Wang, Y. K. Wang
We study the linear stability of Einstein metrics of Riemannian submersion type. First, we derive a general instability condition for such Einstein metrics and provide some applica…