5 citations · 11 across the 7 of their papers we have counts for
7 papers
Invariant surface area functionals and singular Yamabe problem in 3-dimensional CR geometry
Jih-Hsin Cheng, Paul Yang, Yongbing Zhang
We express two CR invariant surface area elements in terms of quantities in pseudohermitian geometry. We deduce the Euler-Lagrange equations of the associated energy functionals. M…
Graham-Witten's conformal invariant for closed four dimensional submanifolds
Yongbing Zhang
It was proved by Graham and Witten in 1999 that conformal invariants of submanifolds can be obtained via volume renormalization of minimal surfaces in conformally compact Einstein…
Stabilities of homothetically shrinking Yang-Mills solitons
Zhengxiang Chen, Yongbing Zhang
In this paper we introduce entropy-stability and F-stability for homothetically shrinking Yang-Mills solitons, employing entropy and second variation of -functional re…
Lagrangian F-stability of closed Lagrangian self-shrinkers
Jiayu Li, Yongbing Zhang
In this paper, we study the Lagrangian F-stability of closed Lagrangian self-shrinkers immersed in complex Euclidean space. We show that any closed Lagrangian self-shrinker with fi…
A monotonicity formula and Type-II singularities for the mean curvature flow
Yongbing Zhang
In this paper, we introduce a monotonicity formula for the mean curvature flow. We also apply this monotonicity formula to study the asymptotic behavior of eternal solutions.
The Sasaki-Ricci flow on Sasakian 3-spheres
Guofang Wang, Yongbing Zhang
We show that on a Sasakian 3-sphere the Sasaki-Ricci flow initiating from a Sasakian metric of positive transverse scalar curvature converges to a gradient Sasaki- Ricci soliton. W…
A conformal integral invariant on Riemannian foliations
Guofang Wang, Yongbing Zhang
Let be a closed manifold which admits a foliation structure of codimension and a bundle-like metric . Let be the space of bundle-like met…