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papers

Publications (29)

math.DG2019

On the Sobolev quotient of three-dimensional CR manifolds

Jih-Hsin Cheng, Andrea Malchiodi, Paul Yang

math.DG2005

A Fourth Order Curvature Flow on a CR 3-manifold

Shu-Cheng Chang, Jih-Hsin Cheng, Hung-Lin Chiu

math.SG2001

Contact topology and CR geometry in three dimensions

Jih-Hsin Cheng

math.DG2019

Chains in CR geometry as geodesics of a Kropina metric

Jih-Hsin Cheng, Taiji Marugame, Vladimir S. Matveev +1

math.AP2011

Variations of generalized area functionals and p-area minimizers of bounded variation in the Heisenberg group

Jih-Hsin Cheng, Jenn-Fang Hwang

math.DG2013

Uniformization of spherical CR manifolds

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

math.AG2019

Theta Functions and Adiabatic Curvature on a Torus

Ching-Hao Chang, Jih-Hsin Cheng, I-Hsun Tsai

math.DG2018

Connected sum of spherical CR manifolds with positive CR Yamabe constant

Jih-Hsin Cheng, Hung-Lin Chiu

math.DG2017

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

Jih-Hsin Cheng, Paul Yang, Yongbing Zhang

math.DG2000

The Harnack estimate for the Yamabe flow on CR manifolds of dimension 3

Shu-Cheng Chang, Jih-Hsin Cheng

math.DG2017

Heat kernel asymptotics, local index theorem and trace integrals for CR manifolds with $S^1$ action

Jih-Hsin Cheng, Chin-Yu Hsiao, I-Hsun Tsai

math.DG2000

Monopoles and contact 3-manifolds

Jih-Hsin Cheng, Hung-Lin Chiu

math.DG2002

Deformation of fillable CR structures

Jih-Hsin Cheng

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.DG2004

Properly embedded and immersed minimal surfaces in the Heisenberg group

Jih-Hsin Cheng, Jenn-Fang Hwang

math.DG2000

Cauchy-Riemann geometry and contact topology in three dimensions

Jih-Hsin Cheng

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.DG2000

Rigidity of automorphisms and spherical CR structures

Jih-Hsin Cheng

math.DG2013

Flows and a tangency condition for embeddable CR structures in dimension 3

Jih-Hsin Cheng

math.DG2015

Umbilicity and characterization of Pansu spheres in the Heisenberg group

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

math.DG2000

Deformation of spherical CR structures and the universal Picard variety

Jih-Hsin Cheng, I-Hsun Tsai

math.DG2015

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

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

math.DG2013

A positive mass theorem in three dimensional Cauchy-Riemann geometry

Jih-Hsin Cheng, Andrea Malchiodi, Paul Yang

math.DG2013

Uniqueness of generalized p-area minimizers and integrability of a horizontal normal in the Heisenberg group

Jih-Hsin Cheng, Jenn-Fang Hwang