22 citations · 43 across the 13 of their papers we have counts for
13 papers
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…
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…
On the volume of orbifold quotients of symmetric spaces
Ilesanmi Adeboye, McKenzie Wang, Guofang Wei
A classic theorem of Kazhdan and Margulis states that for any semisimple Lie group without compact factors, there is a positive lower bound on the covolume of lattices. H. C. Wang'…
A Hamiltonian approach to the cohomogeneity one Ricci soliton equations
Alejandro Betancourt de la Parra, Andrew S. Dancer, McKenzie Y. Wang
We show how to view the equations for a cohomogeneity one Ricci soliton as a Hamiltonian system with a constraint. We investigate conserved quantities and superpotentials, and use…
A Family of Steady Ricci Solitons and Ricci-flat Metrics
M. Buzano, A. S. Dancer, M. Gallaugher +1
We produce new non-Kähler complete steady gradient Ricci solitons whose asymptotics combine those of the Bryant solitons and the Hamilton cigar. We also obtain a family of complete…