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papers

Publications (29)

math.DG2013

A positive mass theorem in three dimensional Cauchy-Riemann geometry

Jih-Hsin Cheng, Andrea Malchiodi, Paul Yang

math.DG2009

On the prescribing $σ_2$ curvature equation on $\mathbb S^4$

S. -Y. Alice Chang, Zheng-Chao Han, Paul Yang

math.DG2003

On finiteness of Kleinian groups in general dimension

Alice Chang, Jie Qing, Paul Yang

math.DG2015

Extremal metrics for the $Q^\prime$-curvature in three dimensions

Jeffrey S. Case, Chin-Yu Hsiao, Paul Yang

math.DG2019

On the Sobolev quotient of three-dimensional CR manifolds

Jih-Hsin Cheng, Andrea Malchiodi, Paul Yang

math.DG2013

A Paneitz-type operator for CR pluriharmonic functions

Jeffrey S. Case, Paul Yang

math.DG2016

Extremal metrics for the ${Q}^\prime$-curvature in three dimensions

Jeffrey S. Case, Chin-Yu Hsiao, Paul Yang

math.DG2015

A Remark on the Kernel of the CR Paneitz operator

Jeffrey S. Case, Sagun Chanillo, Paul Yang

math.DG2003

On the topology of conformally compact Einstein 4-manifolds

Alice Chang, Jie Qing, Paul Yang

math.DG2018

On the Sobolev-Poincare inequality of CR-manifolds

Yi Wang, Paul Yang

math.DG2003

A conformally invariant sphere theorem in four dimensions

S. Y. A Chang, Matthew J. Gursky, Paul Yang

math.DG2005

On the renormalized volumes for conformally compact Einstein manifolds

Alice Chang, Jie Qing, Paul Yang

math.DG2013

Uniformization of spherical CR manifolds

Jih-Hsin Cheng, Hung-Lin Chiu, Paul Yang

math.DG2017

Invariant surface area functionals and singular Yamabe problem in 3-dimensional CR geometry

Jih-Hsin Cheng, Paul Yang, Yongbing Zhang

math.DG2007

Some Progress in Conformal Geometry

Sun-Yung A. Chang, Jie Qing, Paul Yang

math.DG2016

Isoperimetric inequality on CR-manifolds with nonnegative $Q'$-curvature

Yi Wang, Paul Yang

math.AP2004

Classification of singular radial solutions to the $σ_k$ Yamabe equation on annular domains

S. -Y. Alice Chang, Zheng-Chao Han, Paul Yang

math.CV2012

Embedded Three Dimensional CR Manifolds and the Non-Negativity of Paneitz Operators

Sagun Chanillo, Hung-Lin Chiu, Paul Yang

math.DG2015

The CR Paneitz Operator and the Stability of CR Pluriharmonic Functions

Jeffrey S. Case, Sagun Chanillo, Paul Yang

math.DG2010

A Codazzi-like equation and the singular set for $C^{1}$ smooth surfaces in the Heisenberg group

Jih-Hsin Cheng, Jenn-Fang Hwang, Andrea Malchiodi +1

math.DG2016

Strong maximum principle for mean curvature operators on subriemannian manifolds

Jih-Hsin Cheng, Hung-Lin Chiu, Jenn-Fang Hwang +1

math.DG2015

Isoperimetric domains in homogeneous three-manifolds and the isoperimetric constant of the Heisenberg group $\mathsf{H}^1$

Jih-Hsin Cheng, Andrea Malchiodi, Paul Yang

math.DG2008

Regularity of C^{1} smooth surfaces with prescribed p-mean curvature in the Heisenberg group

Jih-Hsin Cheng, Jenn-Fang Hwang, Paul Yang

math.DG2006

On a conformal gap and finiteness theorem for a class of four manifolds

Alice Chang, Jie Qing, Paul Yang

math.CV2017

An integral formula for the $Q$-prime curvature in 3-dimensional CR geometry

Jeffrey S. Case, Jih-Hsin Cheng, Paul Yang

math.DG2004

Minimal surfaces in pseudohermitian geometry

Jih-Hsin Cheng, Jenn-Fang Hwang, Andrea Malchiodi +1

math.DG2006

Existence and Uniqueness for P-Area Minimizers in the Heisenberg Group

Jih-Hsin Cheng, Jenn-Fang Hwang, Paul Yang

math.DG2015

Umbilicity and characterization of Pansu spheres in the Heisenberg group

Jih-Hsin Cheng, Hung-Lin Chiu, Jenn-Fang Hwang +1

math.DG2015

Umbilic hypersurfaces of constant sigma-k curvature in the Heisenberg group

Jih-Hsin Cheng, Hung-Lin Chiu, Jenn-Fang Hwang +1