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math.DG2018
On existence of the prescribing -curvature of the Einstein tensor
Leyang Bo, Weimin Sheng
In this paper, we study the problem of conformally deforming a metric on a -dimensional manifold such that its -curvature equals to a prescribed function, where the …
math.DG2018
The Exponential Convergence of the CR Yamabe Flow
Weimin Sheng, Kunbo Wang
In this paper, we study the CR Yamabe flow with zero CR Yamabe invariant. We use the CR Poincaré inequality and a Gagliardo-Nirenberg type interpolation inequality to show that thi…
math.DG2018
On Variational Properties of Quadratic Curvature Functionals
Weimin Sheng, Lisheng Wang
In this paper, we investigate a class of quadratic Riemannian curvature functionals on closed smooth manifold of dimension on the space of Riemannian metrics on wi…