5 citations · 6 across the 5 of their papers we have counts for
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Compactness of sequences of warped product circles over spheres with nonnegative scalar curvature
Wenchuan Tian, Changliang Wang
Gromov and Sormani conjectured that a sequence of three dimensional Riemannian manifolds with nonnegative scalar curvature and some additional uniform geometric bounds should have…
An Extreme Limit with Nonnegative Scalar Curvature
Christina Sormani, Wenchuan Tian, Changliang Wang
In 2014, Gromov vaguely conjectured that a sequence of manifolds with nonnegative scalar curvature should have a subsequence which converges in some weak sense to a limit space wit…
Linear Instability of Sasaki Einstein and nearly parallel manifolds
Uwe Semmelmann, Changliang Wang, M. Y. -K. Wang
In this article we study the stability problem for the Einstein metrics on Sasaki Einstein and on complete nearly parallel manifolds. In the Sasaki case we show linear…
On the linear stability of nearly-Kähler -manifolds
Changliang Wang, M. Y. -K. Wang
We show that a strict, nearly Kähler -manifold with either second or third Betti number nonzero is linearly unstable with respect to the -entropy of Perelman and hence is dyn…
Regularity estimates for the gradient flow of a spinorial energy functional
Fei He, Changliang Wang
In this note, we establish certain regularity estimates for the spinor flow introduced and initially studied in \cite{AWW2016}. Consequently, we obtain that the norm of the second…
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…