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张树城

发布日期:2023-09-05 浏览量:

个人简介

张树城,数学博士,教授,博士生导师。1990年毕业于美国莱斯大学,获数学博士学位,现为重庆理工大学数学科学研究中心教授。近5年主持3项中国台湾科研项目并在« CVPDE »«JDG»« Crelle’s Journal »等核心期刊发表论文十余篇。


研究领域

微分几何,柯西黎曼几何,以及凯勒流形与佐佐木流形上的几何分析


近五年承担的主要项目(中国台湾)

[1] 柯西黎曼流形中的单值化猜想(MOST 107-2115-M-002-008), 2018/8-2019/7,项目负责人

[2] 佐佐木流形上的单值化猜想(MOST 108-2115-M-002 -005-MY2), 2019/8-2021/7,项目负责人

[3] 佐佐木-瑞奇流(MOST 110-2115-M-002 -007 -MY3), 2021/8-2024/7,项目负责人


荣誉

2015台湾数学会学术奖

2017华人数学家年会最佳论文奖

近五年代表性成果

[1] (with Der-Chen Chang, Ting-Jung Kuo and Hsin-Hua Lai) CR Li-Yau gradient estimate for Witten Laplacian via Bakry-Emery pseudohermitian Ricci curvature, Asian J. Math, Volume 22, No. 2, 223 –256 (2018), Special issue in honor of Ngaiming Mok.

[2] (with C.-W. Chen and C.-T. Wu) On the CR Analogue of Reilly Formula and Yau Eigenvalue Conjecture, Asian J. Math., Vol. 22, No. 5 (2018), 919-940.

[3] (with Der-Chen Chang, Yingbo Han and Jingzhi Tie) A CR Analogue of Yau’s Conjecture On Pseudoharmonic Functions of Polynomial Growth, CJM, Volume 71 (2019), Issue 6, pp. 1367-1394.

[4] (with Der-Chen Chang, Yingbo Han and Chien Lin) On the CR Poincaré-Lelong equation, Yamabe steady solitons and structures of complete noncompact Sasakian manifolds, Acta Mathematica Sinica, English Series, Vol. 34, No. 8, 1313-1344 (2018), a special issue in several complex variables in memory of Prof. Qikeng Lu.

[5] (with T.-J. Kuo, C. Lin and J. Tie) CR Sub-Laplacian Comparison and Liouville-type Theorem in a Complete Noncompact Sasakian Manifold, J. Geom. Anal. 29 (2019), no. 2, 1676-1705.

[6] (with Yingbo Han and Chien Lin) On the three-circle theorem and its applications in Sasakian manifolds, Calc. Var. Partial Differential Equations 58 (2019), no. 3, Art. 101, 23pp.

[7] (with Der-Chen Chang and Chien Lin) On Li-Yau gradient estimate for sum of squares of vector fields up to higher step, Communications in Analysis and Geometry, Volume 28(2020), Number 3, 565-606

[8] (with Huai-Dong Cao and Chih-Wei Chen) C0-positivity and a classification of closed three-dimensional CR torsion solitons, Mathematische Zeitschrift, 296 (2020), no. 3-4, 1065–1080.

[9] (with Yingbo Han and Chien Lin) On the sharp dimension estimate of CR holomorphic functions in Sasakian Manifolds, Int. Math. Res. Not. IMRN 2021, no. 17, 12888-12924.

[10] (with D.-C. Chang, S.-C. Chang and T.-J. Kuo) Vanishing theorem of Kohn-Rossi cohomology class and rigidity of Sasakian space form, Pure and Applied Mathematics Quarterly, Volume 18, Number 2, pp 411-436, 2022

[11] (with S.-C. Chang, Y.-B. Han and N. Li) Existence of nonconstant CR-holomorphic functions of polynomial growth in Sasakian Manifolds. To appear in Journal für reine und angewandte Mathematik

联系方式

电话:13718547959 E-mailscchang@math.ntu.edu.tw