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math.DG2017
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…
math.DG2017
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…
math.DG2013★ 1 cited
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…