5 citations · 16 across the 16 of their papers we have counts for
16 papers
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…
Perelman's functionals on manifolds with non-isolated conical singularities
Xianzhe Dai, Changliang Wang
In this article, we define Perelman's functionals on manifolds with non-isolated conical singularities by starting from a spectral point of view for the Perelman's -functional.…
Interference of Holon Strings in 2D Hubbard Model
Chang-Yan Wang, Tin-Lun Ho
The 2D Hubbard model with large repulsion is a central and yet unsolved problem in condensed matter physics for decades. The challenge appears below half filling, where the system…
The Quantum Dynamics of Two-component Bose-Einstein Condensate: an Symmetry Approach
Chang-Yan Wang, Yan He
The compact groups such as and groups have been heavily studied and applied in the study of quantum many body systems. However, the non-compact groups such as the r…
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…
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…
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…
Perelman's -functional on manifolds with conical singularities
Xianzhe Dai, Changliang Wang
In this paper, we develop the theory of Perelman's -functional on manifolds with isolated conical singularities. In particular, we show that the infimum of -functional over a…
Perelman's -functional on manifolds with conical singularities
Xianzhe Dai, Changliang Wang
In this paper, we prove that on a compact manifold with isolated conical singularity the spectrum of the Schrödinger operator consists of discrete eigenvalues with finite m…
Stability of Riemannian manifolds with Killing spinors
Changliang Wang
Riemannian manifolds with non-zero Killing spinors are Einstein manifolds. Klaus Kröncke proved that all complete Riemannian manifolds with imaginary Killing spinors are (linearly)…
BCS-BEC crossover of Spin Polarized Fermi Gases with Rashba Spin-Orbit Coupling
Chang-Yan Wang, Yan He
We study the BCS-Bose Einstein Condensation (BEC) crossover of a three dimensional spin polarized Fermi gas with Rashba spin-orbital-coupling (SOC). At finite temperature, the effe…
The Classification of Dimensional Reduced Hopf Insulators
Chang-Yan Wang, Yan He
The Hopf insulators are characterized by a topological invariant called Hopf index which classifies maps from three-sphere to two-sphere, instead of a Chern number or a Chern parit…