教授
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邱春晖

职称:教授

职务:

学历:博士

电子邮件:chqiu@xmu.edu.cn

联系电话:2580719

办 公 室:数理大楼635

教育经历:

PhD: Xiamen University, 2003

MS: Xiamen University, 1988

BS: Xiamen University, 1985

工作经历:

Xiamen University, 1988.07--Now (1988.7--1990.11, Teaching Assistant;

1990.12--1994.11, Assistant Professor; 1994.12--2003.11, Associate Professor; 2003.12--Now, Professor)

Postdoctor, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, 2003.09--2005.07

Head of Department of Mathematics and Applied Mathematics, 2005--2008.1

Associate Dean of School of Mathematical Sciences, 2008.2--2017.9


Visiting Experience:

Visiting Professor, University of Macau, September 2015

Visiting Professor, University of Texas at Arlington, April 2015

Visiting Professor, University of Macau, September 2014

Visiting Professor, University of Macau, April 2014

Visiting Professor, University of Macau, November 2012

Visiting Professor, Ohio State University, 2012.4—2012.6

Visiting Professor, University of Macau, March 2012

Visiting Professor, The University of Hongkong, March 2012

Visiting Professor, University of Notre Dame, 2010.3—2010.9

Visiting Professor, Siberian Federal University, Russia , August 2009

Visiting Professor, University of Macau, December 2004

研究方向:

Several Complex Variables, Complex Finsler Geometry

获奖:

1. Function theory and geometry on complex Finsler manifolds. NSSF,  2020.1-2023.12

2. Analysis and geometry on complex manifolds. NSSF,  2016.1-2019.12

3. The geometry and function theory on complex manifolds, NSSF, 2012.1-2015.12

4. Analysis on complex manifolds and its applications, NSSF, 2008.1-2010.12

5. The geometry function theory on complex Finsler manifolds, NSSF, 2006.1-2007.12

6. Complex Analysis of several variables and analysis on complex Finsler manifolds, NSSF, 2003.1-2005.12

7. The dbr-problem on complex Finsler manifolds and its applications, Program for New Century Excellent Talents in Xiamen University, 2003.1-2005.12

8. 2019 Thematic workshop on Finsler geometry, NSSF “Tianyuan”, 2019.1-2019.12

9. 2018 Thematic workshop on Finsler geometry, NSSF “Tianyuan”, 2018.1-2018.12

10. 2011 Xiamen conference on geometric PDE, NSSF “Tianyuan”,  2011.1-2011.12

11. 2008 Conference on Finsler geometry, NSSF “Tianyuan”, 2008.1-2008.12

12. 2006 Conference on Finsler geometry, NSSF “Tianyuan”, 2006.1-2006.12

组织学术活动情况:

1. 2006 Conference on Finsler geometry, Xiamen University, July 2006

2. 2007 International conference on several complex variables and complex geometry, Xiamen university, May 2007

3. 2008 Conference on Finsler geometry, Wuyu College, July 2008

4. 2011 Xiamen conference on Finsler geometry and its applications, Xiamen University, December 2011

5. 2015 Conference on several complex variables and complex geometry, Xiamen university, December 2015

6. 2017 Conference on several complex variables, Xiamen university, June 2017

7. 2018 Conference on Riemann-Finsler geometry and related topics,  Xiamen university, July 2018

论文:

[1] The singular integral equations on a closed piecewise smooth manifold in  Cn,Integral Equations and Operator Theory,2002, 44(3):337-358.( with Liangyu Lin).

[2] Poincare-Bertrand formula of a singular integral on a closed piecewise smooth manifold. (Chinese) Acta Math. Sinica, 2002, 45(2):759-772.( with Liangyu Lin).

[3] A new formula without boundary integrals on a Stein manifold,Acta Math. Sci., 2003, 23 B(1): 33-40.

[4] Weighted homotopy formulas on a local q-convex wedge in a complex manifold. (Chinese) Acta Math. Sinica, 2003, 46(3): 591-600.

[5] Weighted Koppelman-Leray-Norguet formulas on a local q-concave wedge in a complex manifold,Acta Math. Sci., 2003, 23 B(4): 531-543. (with Zongyuan Yao).

[6] The integral representation for differential forms of type (p,q) on complex Finsler manifolds. Science in China, Ser.A,2004,47(2): 284-296.(with Tongde Zhong).

[7] The Cauchy boundary value problems on closed piecewise smooth manifolds in Cn.  Acta Math. Sin., 2004,20(6):989-998.(with Liangyu Lin).

[8] The higher order linear partial differential integral equations on closed smooth manifolds in Cn. Geometric Function Theory in Several Complex Variables, World Sci. Publ., River Edge, NJ, 2004:245-251.(with Liangyu Lin, Yusheng Huang).

[9] The Koppelman-Leray formula on complex Finsler manifolds. Science in China, Ser.A, 2005, 48(6): 847-863.(with Tongde Zhong).

[10] The Plemelj formula of higher order partial derivatives of the Bochner-Martinelli type integral. Integral Equations and Operator Theory, 2005, 53:61-73. (with Liangyu Lin, Yusheng Huang).

[11] Uniform estimates for weighted solutions of  dbar-equation on Stein manifolds. (Chinese) Xiamen Daxue Xuebao (Ziran kexue Ban), 2005, 44(5): 608-609.(with Dongmei Tang, Chunping Zhong).

[12] Holder estimate for the solutions of  dbar-equation on a strictly pseudoconvex domain. (Chinese) Xiamen Daxue Xuebao (Ziran kexue Ban), 2005, 44(3): 304-307.(with Su Xing, Chunping Zhong).

[13] General solutions of a kind of quantum coloured Yang-Baxter equation (I). Journal of Mathematical Analysis and Applications, 2007, 326:  46-61.(with TianZe Wang, Yuchao Xu).

[14] The Koppelman-Leray-Norguet formulas on complex Finsler manifolds.

(Chinese) Acta Math. Sinica, 2007,50(3): 641-652.(with Tongde Zhong).

[15] Hyperholomorphic  dbar D-problem in Kaehler manifolds. Proceedings of Symposium on Hyper-Complex Analysis. Macau: University of  Macau Press. 2008: 109-134. (with Tongde Zhong, Dongmei Tang).

[16] Integral formulas with weight factors on complex Finsler manifolds. Proceedings of Symposium on Hyper-Complex Analysis. Macau: University of  Macau Press. 2008: 181-196.( with Yong Jiang, Dongmei Tang, Tongde Zhong).

[17] Uniform estimates of solutions of  dbar-equation on Stein manifolds. Acta Mathematica Scientia. 2008, 28, B(2): 441-448.(with Dongmei Tang, Chunping Zhong).

[18] The integral representations on complex manifolds.Several Complex Variables in China on its research and developments. Beijing: Science Press. 2009:327-351. (with Tongde Zhong).

[19] The singular integral and singular integral equations of several complex variables. Several Complex Variables in China on its research and developments. Beijing: Science Press. 2009:227-257. (with Tongde Zhong, Liangyu Lin, Lvping Chen).

[20] Bochner technique in strongly Kaehler-Finsler manifolds. Acta Mathematica Scientia,2010, 30B(1): 89-106. (with Jinxiu Xiao, Tongde Zhong).

[21] Laplacian on complex Finsler manifolds. Chin. Ann. Math., 2011, 32B(4): 507-520. (with Jinxiu Xiao, Tongde Zhong). (http://dx.doi.org/10.1007/s11401-011-0661-4).

[22] Hyperholomorphic theory on Kaehler manifolds. Acta Mathematica Scientia, 2012,32B(2): 586-604. (with Dongmei Tang, Tongde Zhong)

[23] Harmonic maps between complex Finsler manifolds. J. of Tongji University (Natural Science), 2012, 40(10):1569-1572. (with Jinxiu Xiao, Qun He, Zhihua Chen) (in Chinese).

[24] Laplacian comparison on complex Finsler manifolds and its applications. International Journal of Mathematics, 2013, 24(5): 1350034(18 pages) (with Jinxiu Xiao, Qun He, Zhihua Chen). (http://dx.doi.org/10.1142/S0129167X13500641).

[25] Hodge Theorem for the natural projection of complex horizontal Laplacian on complex Finsler manifolds. Differential Geometry and its Applications, 2014, 33: 85-104 (with Jinling Li, Tongde Zhong). (http://dx.doi.org/10.1016/j.difgeo.2014.01.012).

[26] On the Growth of Solutions of a Class of Higher Order Linear Differential Equations with Extremal Coefficients. Abstract and Applied Analysis, 2014 , Article ID: 305710, 7 pages(with Jianren Long, Pengcheng Wu) . (http://dx.doi.org/10.1155/2014/305710).

[27] Weighted composition followed and proceeded by differentiation operators from Zymund spaces to Bloch-type spaces. Journal of Inequatities and applications, 2014, 2014:152 (12 pages) ,(with Jianren Long, Pengcheng Wu) .   (http://www.journalofinequalitiesandapplications.com/content/2014/1/152).

[28] Bochner-Kodaira techniques in Kaehler-Finsler manifolds. Chin. Ann. Math., 2015, 36B(1) : 125-140. (with Jinxiu Xiao, Tongde Zhong).(http://dx.doi.org/10.1007/s11401-014-0871-7).

[29] A Hodge decomposition theorem on strongly pseudoconvex compact complex Finsler manifolds. Balkan Journal of Geometry and Its Applications, 2015, 20(1): 76-85. (with Jinling Li, Tongde Zhong).

[30] Killing vector fields on compact Finsler manifolds. Publicationes Mathematicae-Debrecen, 2016, 88:3-19.  (with Jinling Li, Tongde Zhong). (http://dx.doi.org/10.5486/PMD.2016.6039).

[31] The holomorphic automorphism group of higher dimension thullen domain. Acta Mathematica Scientia, 2016, 36 B (5): 1358–1368. (with Hongjun Li).

[32] Borel directions and uniqueness of meromorphic functions sharng five values. Journal of Computational Analysis and Applications, 2016, 21(6): 1046-1059. (with Jianren Long).

[33] A Laplace operator on complex Finsler manifolds. Differential Geometry and its Applications, 2017, 54: 437-447.   (with Hongjun Li, Weixia Zhu). (http://dx.doi.org/10.1016/j.difgeo.2017.07.007).

[34]  Laplacians for the holomorphic tangent bundles with g-nuture metrics on complex Finsler manifolds. International Journal of Mathematics, 2017, 28(9), 1740011 (19    pages). (with Hongjun Li, Weixia Zhu). (http://dx.doi.org/10.1142/S0129167X17400110).

[35] On the Dirichlet problem for fully nonlinear elliptic equations on annuli of metric cones. Discrete and Continuous Dynamical Systems, 2017, 37 (11):5707-5730. (with Rirong Yuan). (http://dx.doi.org/10.3934/dcds.2017247).

[36] Borel directions and uniqueness of meromorphic functions dealing with multiple value. (Chinese) Chinese Ann. Math. Ser.A, 2017, 38(3): 303-312. (with Jianren Long, Pengcheng Wu). (http://dx.doi.org/10.16205/j.cnki.cama.2017.0026).

[37] On bounded positive (m,p)-circle domains. Chinese Ann. Math. Ser. B, 2018, 39(4): 665-682. (with Hongjun Li, Yichao Xu).(https://doi.org/10.1007/s11401-018-0088-2).

[38] Fully nonlinear elliptic equations for conformal deformations of Chern–Ricci forms. Adv. Math., 2019, 343: 538-566. (with Bo Guan, Rirong Yuan). (https://doi.org/10.1016/j.aim.2018.11.008).

[39] Holomorphic automorphism groups of (m,1)-circular domains. J. Geom. Ana. ,2020,30(3):3035-3063. (with Shuxia Feng, Hongjun Li). (https://doi.org/10.1007/s12220-019-00189-0).

[40] Comparison and Wu's theorems in Finsler geometry. Math. Z. (with Jinling Li), 2020, 295: 485-514. (https://doi.org/10.1007/s00209-019-02375-w).

[41] Hodge and vanishing theorems on complex Finsler vector bundles. J. Geom. Ana. (with Jinling Li, Tongde Zhong), online, 2019. (https://doi.org/10.1007/s12220-019-00256-6).

[42] On some classes of projectively flat Finsler metrics with constant flag curvature. Diff. Geom. App., 2020, 68, 101519. (with Guocai Cai, Xiuling Wang). (https://doi.org/10.1016/j.difgeo.2019.101579) .

[43] Spectral stability of the dbar-Neumann Laplacian:the Kohn–Nirenberg elliptic regularization.  J. Geom. Ana. (with Siqi Fu, Weixia Zhu), online, 2020. (https://doi.org/10.1007/s12220-020-00421-2) .

[44] Uniqueness theorems of L-functions in the extended Selberg class. Acta Math. Sci., 2020, 40B(4): 970-980. (with Junfan Chen).

(https://doi.org/10.1007/s10473-020-0406-0).

[45] Classification of a class of bounded anti-circular domains. J. Geom. Ana. (with Hongjun Li, Hongchuan Xia), online, 2020. (http://doi.org/10.1007/s12220-020-00465-4).

学生培养:

PhD students:

Dongmei Tang, 2005.9—2008.7

Jinxiu Xiao, 2006.9—2009.7

Jinling Li, 2010.9—2014.7

Qiang Wang, 2011.9---2012.7((Study abroad)

Rirong Yuan, 2012.9—2016.7

Jianren Long, 2013.9—2016.7

Hongjun Li, 2014.9—2018.7

Weixia Zhu, 2015.9--2019.9

Yuebo Cao, 2016.9

Qixin Zhang, 2018.9

Guozhu Zhong 2019.9

Gen Wang 2019.9

Zhao Zisu 2020.9


Master students:

Dongmei Tang, 2002.9—2005.7

Su Xing, 2002.9—2005.7

Shihua Ruan, 2004.9—2007.7

Guiying Weng, 2004.9—2007.7

Huixu Li,  2004.9—2007.7

Yaqiong Chen, 2005.9—2008.7

Min Zheng, 2005.9—2008.7

Teqing Chen, 2005.9—2008.7

Yafang Liu, 2007.9—2010.7

Meiyan Wang, 2007.9—2010.7

Jinling Li, 2008.9—2010.7

Yan Yang, 2008.9—2011.7

Liling Sun, 2008.9—2011.7

Qiang Wang, 2009.9—2011.7

Ke Jin, 2009.9---2012.7(Study abroad)

Rirong Yuan, 2010.9—2012.7

Weixia Zhu, 2013.9—2015.7

Neng Zeng, 2014.9—2015.12(Study abroad)

Cheng Zhuang, 2015.9—2018.7

Xiuling Wang, 2015.9—2018.7