Publications

Results 1-62 of 62 (Search time: 0.001 seconds).

Issue DateTitleAuthor(s)RelationscopusWOSFulltext/Archive link
12022Positive mass theorem and the CR Yamabe equation on 5-dimensional contact spin manifoldsJih-Hsin Cheng ; Hung-Lin ChiuAdvances in Mathematics 404(Part B), 108446
22022Theta functions and adiabatic curvature on an elliptic curveChing-Hao Chang; Jih-Hsin Cheng ; I-Hsun TsaiThe Journal of Geometric Analysis 32(3), 84
32020On the Sobolev quotient of three-dimensional CR manifoldsJih-Hsin Cheng ; A. Malchiodi; P. YangPreprint
42020Theta functions and adiabatic curvature on a torusJih-Hsin Cheng; Chang, C.-H. ; Tsai, I-H.Preprint
52020Submanifolds in Cauchy Riemann GeometryCheng Jih-Hsin Journal of Mathematical Study 53(4), 471-492
62020微分幾何學--重力研究的好幫手鄭日新 數學傳播 第44卷第4期，頁27-33
72019Heat Kernel Asymptotics, Local Index Theorem and Trace Integrals for Cauchy-Riemann Manifolds with S1 Action (Memoires de la Societe Mathematique de France 162)Cheng, Jih-Hsin ; Hsiao, Chin-Yu ; Tsai, I-HsunFrance
82019Connected Sum of CR Manifolds with Positive CR Yamabe ConstantCheng, Jih-Hsin ; Chiu, Hung-Lin; Ho, Pak TungThe Journal of Geometric Analysis 31, 298-311
92019Chains in CR geometry as geodesics of a Kropina metricCheng, Jih-Hsin ; Marugame, Taiji; Matveev, Vladimir S.; Montgomery, RichardAdvances in Mathematics 350, 973-999
102018UMBILICITY AND CHARACTERIZATION OF PANSU SPHERES IN THE HEISENBERG GROUPJih-Hsin Cheng ; Hung-Lin Chiu; Jenn-Fang Hwang; Paul YangJournal fur reine und angewandte Mathematik 738, 203-235
112018Strong maximum principle for mean curvature operators on subRiemannian manifoldsCheng, Jih-Hsin ; Chiu, Hung-Lin; Hwang, Jenn-Fang; Yang, PaulMathematische Annalen 372, 1393-1435
122018Invariant surface area functionals and singular Yamabe problem in 3-dimensional CR geometryCheng, Jih-Hsin ; Yang, Paul; Zhang, YongbingAdvances in Mathematics 335, 405-465
132018Connected Sum of Spherical CR Manifolds with Positive CR Yamabe ConstantCheng, Jih-Hsin ; Chiu, Hung-LinThe Journal of Geometric Analysis 29(4), 3113-3123
142018An integral formula for the $Q$-prime curvature in 3-dimensional CR geometryCase, Jeffrey S.; Cheng, Jih-Hsin ; Yang, PaulProceedings of the American Mathematical Society 147, 1577-1586
152017A positive mass theorem in three dimensional Cauchy-Riemann geometryCheng, Jih-Hsin ; Malchiodi, A.; Yang, P.Advances in Mathematics 308, 276-347
162017Contact Spinc Structure, Embeddability of CR Structure, and Positivity of the MassJih-Hsin Cheng Proceedings of the Sixth International Congress of Chinese Mathematicians ALM37, 23-35
172016Umbilic hypersurfaces of constant sigma-k curvature in the Heisenberg groupCheng, Jih-Hsin ; Chiu, H.-L.; Hwang, J.-F.; Yang, P.Calculus of Variations and Partial Differential Equations 55(3), 66
182015有朋自遠方來--專訪Nigel Hitchin教授鄭日新 ; 夏杼; 何南國數學傳播 第39卷第4期，頁3-16
192014Flows and a tangency condition for embeddable CR structures in dimension 3Jih-Hsin Cheng Methods and Applications of Analysis 21(3), 337-356
202014Uniformization of spherical CR manifoldsCheng, J. -H. ; Chiu, H. -L.; Yang, P.Advances in Mathematics 255, 182-216
212013Uniqueness of generalized $$p$$ -area minimizers and integrability of a horizontal normal in the Heisenberg groupCheng, Jih-Hsin ; Hwang, Jenn-Fang Calculus of Variations and Partial Differential Equations 50, 579-597
222013有朋自遠方來--專訪Clifford Taubes教授鄭日新 ; 劉太平; 蔡忠潤數學傳播, 37(1), 3-14
232012A Codazzi-like equation and the singular set for C1 smooth surfaces in the Heisenberg groupCheng, Jih-Hsin ; Hwang, Jenn-Fang ; Malchiodi, Andrea; Yang, PaulJOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK 2012(671), 131-198
242010Variations of generalized area functionals and p-area minimizers of bounded variation in the Heisenberg groupCheng, Jih-Hsin ; Hwang, Jenn-FangBulletin of the Institute of Mathematics, Academia Sinica, New Series 5(4), 369-412
252009有朋自遠方來--專訪深谷賢治(Kenji Fukaya) 教授劉太平; 鄭日新 ; 江孟蓉數學傳播 第37卷第1期，頁3-12
262009The prescribed p-mean curvature equation of low regularity in the Heisenberg groupCheng, Jih-Hsin Science in China Series A: Mathematics 52, 2604-2609
272009Regularity of C 1 smooth surfaces with prescribed p-mean curvature in the Heisenberg groupCheng, Jih-Hsin ; Hwang, Jenn-Fang ; Yang, PaulMATHEMATISCHE ANNALEN 344, 1-35
282007Existence and uniqueness for p-area minimizers in the Heisenberg groupCheng, Jih-Hsin ; Hwang, Jenn-Fang; Yang, PaulMATHEMATISCHE ANNALEN 337(2), 253-293
292007Surfaces of prescribed p-mean curvature in the Heisenberg groupJih-Hsin Cheng Proceedings of the 4th ICCM II, 40-58
302007A fourth order curvature flow on a CR 3-manifoldShu-Cheng Chang; Cheng, Jih-Hsin ; Hung-Lin ChiuINDIANA UNIVERSITY MATHEMATICS JOURNAL 56(4), 1793-1826
312006The mean curvature equation in pseudohermitian geometryCheng, Jih-Hsin Contemporary Mathematics 400, 89-94
322005Minimal surfaces in pseudohermitian geometryJih-Hsin Cheng ; Jenn-Fang Hwang; Andrea Malchiodi; Paul YangAnnali della Scuola Normale Superiore di Pisa, Classe di Scienze, Série 5, 4(1), 129-177
332004Properly embedded and immersed minimal surfaces in the Heisenberg groupJih-Hsin Cheng ; Jenn-Fang HwangBull. Aus. Math. Soc. 70(3), 507-520
342003Monopoles and contact 3-manifoldsCheng, Jih-Hsin ; Chiu, Hung-LinSelected Topics in Cauchy-Riemann Geometry (S. Dragomir ed.), Quaderni di Matematica(math. DG/9905066) 9, 99-123
352002Deformation of fillable CR structuresJih-Hsin Cheng arXiv:math/0202051 [math.DG]
362002The Harnack estimate for the Yamabe flow on CR manifolds of dimension 3Cheng, Jih-Hsin ; Chang, Shu-ChengAnnals of Global Analysis and Geometry(math. DG/0003197.) 21, 111-121
372002Contact topology and CR geometry in three dimensions.Cheng, Jih-Hsin Proceedings of the 3rd Asian Mathematical Conference 2000 (Quezon City. Philippines), 70-80
382001淺談場量子化與低維拓樸鄭日新 數學傳播第25卷4期，頁4-7
392000專訪 Rick Schoen 教授李瑩英; 鄭日新 ; 蔡宜洵數學傳播 第24卷第4期，頁58-62
402000Rick Schoen, Yamabe 問題與正質量定理鄭日新 數學傳播第24卷4期，頁63-67
412000有朋自遠方來─Rick Schoen 訪談紀要劉太平策畫; 李瑩英; 鄭日新 ; 蔡宜洵訪談紀錄數學傳播第24卷4期，頁58-62
422000Cauchy-Riemann geometry and contact topology in three dimensions.Cheng, Jih-Hsin Proc. Natl. Sci. Counc. ROC(A) 24(2), 87-94
432000Rigidity of automorphisms and spherical CR structures.Cheng, Jih-Hsin Proc. Amer. Math. Soc.(math. DG/9806108.) 128, 1825-1832
442000Deformation of spherical CR structures and the universal Picard varietyCheng, Jih-Hsin ; Tsai, I-HsunCommun. in Anal. And Geom. 8(2), 301-346
451998The geometry of Cauchy-Riemann manifolds in dimension threeCheng, Jih-Hsin Proceedings of the second Asian mathematical conference (Suranaree University of Technology, Nakhon Ratchasima, Thailand (Oct./17~20/ 1995), ed. S.Tangmanee and E. Schulz), 201-208
461995A local slice theorem for 3-dimensional CR structuresCheng, Jih-Hsin ; Lee, John M.Amer. J. Math. 117(5), 1249-1298
471995Some applications of Cartan’s theory on three-dimensional Cauchy-Riemann geometryCheng, Jih-Hsin Mathematische Zeitschrift 218(1), 527-548
481994Brownian motion on pseudohermitian manifoldsCheng, Jih-Hsin ; Sheu, Shuenn-Jyi incomplete draft  
491993Cauchy-Riemann geometry and contact topology on three-manifoldsCheng, Jih-Hsin Proceedings of conference on the 29th annual meeting of ROC Math. Soc. (National Chiao-Tung University Hsinchu Taiwan), 105-111
501991Deforming CR structures in the direction of Cartan tensorCheng, Jih-Hsin 1989 Conference on nonlinear analysis. Academia Sinica. Taipei. R.O.C. (World Scientific), 17-22
511991Curvature functions for the sphere in pseudohermitian geometryCheng, Jih-Hsin Tokyo J. Math. 14(1), 151-163
521991淺談Jones-Witten理論及Floer同調群鄭日新 數學傳播 第15卷第1期(57), 頁12-22
531990The Burns-Epstein invariant and deformation of CR structuresCheng, Jih-Hsin ; Lee, John M.Duke Math. J. 60(1), 221-254
541988Chain-preserving diffeomorphisms and CR equivalenceCheng, Jih-Hsin Proceedings of AMS 103, 75-80
551987Graded Lie algebras of the second kindCheng, Jih-Hsin Transactions of AMS 302(2), 467-488
561987On the curvature of CR structures and its covariant derivativesCheng, Jih-Hsin Math. Zeit. 196, 203-209
571985Examples of spiralling chainsChang, Chin-Huei ; Lee, H. P. ; Cheng, J. H. ; Wang, A. N.report to NSC  
581982On the second fundamental form of algebraic hypersurfacesCheng, Jih-Hsin Bulletin of IMAS 10, 25-34
591981An integral formula on the scalar curvature of algebraic manifoldsCheng, Jih-Hsin Proc. Amer. Math. Soc. 81, 451-454
60-CR umbilicity for certain class of real hypersurfaces in $C^{n+1}$Cheng, Jih-Hsin draft.
61-CR structures for a family of homogeneous spacesCheng, Jih-Hsin draft.
62-On embeddable CR 3-manifoldsCheng, Jih-Hsin draft (1992).