微分几何、数学物理

   

070101-基础数学

微分几何、数学物理

   

-- 研究生

-- 博士

   

[1] Liu, Chuxiao, Zhang, Xiao. Spherically symmetric Einstein-scalar-field equations for wave-like decaying null infinity. ADVANCES IN MATHEMATICS[J]. 2022, 409: http://dx.doi.org/10.1016/j.aim.2022.108642.
[2] Chen, Junwen, Zhang, Xiao. Metrics of Eguchi-Hanson types with the negative constant scalar curvature. JOURNAL OF GEOMETRY AND PHYSICS[J]. 2021, 161: http://dx.doi.org/10.1016/j.geomphys.2020.104010.
[3] Liang, Zhuobin, Zhang, Xiao. Metrics of Horowitz-Myers type with the negative constant scalar curvature. JOURNAL OF MATHEMATICAL PHYSICS[J]. 2020, 61(11): https://www.webofscience.com/wos/woscc/full-record/WOS:000593966200001.
[4] Xie, Fangquan, Zhang, Xiao. The peeling property of Bondi-Sachs metrics for nonzero cosmological constants. SCIENCE CHINA-MATHEMATICS[J]. 2020, 63(4): 617-626, http://lib.cqvip.com/Qikan/Article/Detail?id=7101618603.
[5] Chen, Daguang, Wang, Fang, Zhang, Xiao. Eigenvalue estimate of the Dirac operator and Rigidity of Poincare-Einstein metrics. MATHEMATISCHE ZEITSCHRIFT[J]. 2019, 293(1-2): 485-502, http://ir.amss.ac.cn/handle/2S8OKBNM/35720, http://www.irgrid.ac.cn/handle/1471x/6869078, http://ir.amss.ac.cn/handle/2S8OKBNM/35721, http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000486234100019&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=3a85505900f77cc629623c3f2907beab.
[6] Wang, Yaohua, Zhang, Xiao. Positive energy theorem for asymptotically anti-de Sitter spacetimes with distributional curvature. INTERNATIONAL JOURNAL OF MATHEMATICS[J]. 2019, 30(13): 16-, [7] 张晓. bondisachs度量与引力波. 中国科学数学[J]. 2018, 48(6): 849-, http://lib.cqvip.com/Qikan/Article/Detail?id=675424299.
[8] Wang, Yaohua, Zhang, Xiao. Nonexistence of time-periodic solutions of the Dirac equation in non-extreme Kerr-Newman-AdS spacetime. SCIENCE CHINA-MATHEMATICS[J]. 2018, 61(1): 73-82, https://www.webofscience.com/wos/woscc/full-record/WOS:000419864100004.
[9] 张晓. 广义相对论正能量定理. 中国科学:数学[J]. 2017, 673-688, [10] Zhang, Xiao. Recent progress on the positive energy theorem. INTERNATIONAL JOURNAL OF MODERN PHYSICS A[J]. 2015, 30(28-29): https://www.webofscience.com/wos/woscc/full-record/WOS:000363284100019.
[11] Wang, Yaohua, Xie, Naqing, Zhang, Xiao. The positive energy theorem for asymptotically anti-de Sitter spacetimes. COMMUNICATIONS IN CONTEMPORARY MATHEMATICS[J]. 2015, 17(4): https://www.webofscience.com/wos/woscc/full-record/WOS:000356791900008.
[12] 张晓. 曲面的形变量子化与量子黑洞. 数学译林[J]. 2014, 59-63, http://lib.cqvip.com/Qikan/Article/Detail?id=49488664.
[13] Liang, Zhuobin, Zhang, Xiao. Spacelike hypersurfaces with negative total energy in de Sitter spacetime. JOURNAL OF MATHEMATICAL PHYSICS[J]. 2012, 53(2): https://www.webofscience.com/wos/woscc/full-record/WOS:000300943500014.
[14] Chen, Daguang, Hijazi, Oussama, Zhang, Xiao. The Dirac-Witten operator on pseudo-Riemannian manifolds. MATHEMATISCHE ZEITSCHRIFT[J]. 2012, 271(1-2): 357-372, http://dx.doi.org/10.1007/s00209-011-0867-x.
[15] 张瑞斌, 张晓. 时空量子结构的非交换几何方法. 山东大学学报：理学版[J]. 2011, 46(10): 1-31, http://lib.cqvip.com/Qikan/Article/Detail?id=39440053.
[16] Ge, Huabin, Luo, Mingxing, Su, Qiping, Wang, Ding, Zhang, Xiao. Bondi-Sachs metrics and photon rockets. GENERAL RELATIVITY AND GRAVITATION[J]. 2011, 43(10): 2729-2742, https://www.webofscience.com/wos/woscc/full-record/WOS:000295990700015.
[17] ZHANG Xiao. Deformation quantization and noncommutative black holes. 中国科学：数学英文版[J]. 2011, 54(11): 2501-2508, http://lib.cqvip.com/Qikan/Article/Detail?id=39766994.
[18] 张瑞斌, 张晓. 时空量子结构的非交换几何方法（英文）. 山东大学学报(理学版). 2011, http://kns.cnki.net/KCMS/detail/detail.aspx?QueryID=0&CurRec=1498&recid=&FileName=SDDX201110002&DbName=CJFD2011&DbCode=CJFQ&yx=Y&pr=&URLID=37.1389.N.20110804.1618.001&bsm=QK0101;.
[19] Zhang Xiao. Deformation quantization and noncommutative black holes. SCIENCE CHINA-MATHEMATICS[J]. 2011, 54(11): 2501-2508, http://lib.cqvip.com/Qikan/Article/Detail?id=39766994.
[20] Luo, Mingxing, Xie, Naqing, Zhang, Xiao. Positive mass theorems for asymptotically de Sitter spacetimes. NUCLEARPHYSICSB[J]. 2010, 825(1-2): 98-118, http://dx.doi.org/10.1016/j.nuclphysb.2009.09.017.
[21] Sun, Wen, Wang, Ding, Xie, Naqing, Zhang, R B, Zhang, Xiao. Gravitational collapse of spherically symmetric stars in noncommutative general relativity. EUROPEAN PHYSICAL JOURNAL C[J]. 2010, 69(1-2): 271-279, http://dx.doi.org/10.1140/epjc/s10052-010-1342-2.
[22] Zhang, R B, Zhang, Xiao. PROJECTIVE MODULE DESCRIPTION OF EMBEDDED NONCOMMUTATIVE SPACES. REVIEWS IN MATHEMATICAL PHYSICS[J]. 2010, 22(5): 507-531, https://www.webofscience.com/wos/woscc/full-record/WOS:000278499600002.
[23] Wang, Ding, Zhang, R B, Zhang, Xiao. Exact solutions of noncommutative vacuum Einstein field equations and plane-fronted gravitational waves. EUROPEAN PHYSICAL JOURNAL C[J]. 2009, 64(3): 439-444, https://www.webofscience.com/wos/woscc/full-record/WOS:000271504500009.
[24] Zhang, Xiao. On a quasi-local mass. CLASSICAL AND QUANTUM GRAVITY[J]. 2009, 26(24): https://www.webofscience.com/wos/woscc/full-record/WOS:000272590700020.
[25] Wang, Ding, Zhang, R B, Zhang, Xiao. Quantum deformations of Schwarzschild and Schwarzschild-de Sitter spacetimes. CLASSICAL AND QUANTUM GRAVITY[J]. 2009, 26(8): [26] Zhang Xiao. A quasi-local mass for 2-spheres with negative Gauss curvature. SCIENCE IN CHINA SERIES A-MATHEMATICS[J]. 2008, 51(9): 1644-1650, https://www.webofscience.com/wos/woscc/full-record/WOS:000258251100007.
[27] Xie, Naqing, Zhang, Xiao. Positive mass theorems for asymptotically AdS spacetimes with arbitrary cosmological constant. INTERNATIONAL JOURNAL OF MATHEMATICS[J]. 2008, 19(3): 285-302, https://www.webofscience.com/wos/woscc/full-record/WOS:000253753400002.
[28] Zhang Xiao. A quasi-local mass for 2-spheres with negative Gauss curvature. SCIENCE IN CHINA SERIES A-MATHEMATICS[J]. 2008, 51(9): 1644-1650, https://www.webofscience.com/wos/woscc/full-record/WOS:000258251100007.
[29] Chaichian, M, Kulish, P P, Tureanu, A, Zhang, R B, Zhang, Xiao. Noncommutative fields and actions of twisted Poincare algebra. JOURNAL OF MATHEMATICAL PHYSICS[J]. 2008, 49(4): https://www.webofscience.com/wos/woscc/full-record/WOS:000255456400010.
[30] Chaichian, M, Tureanu, A, Zhang, R B, Zhang, Xiao. Riemannian geometry of noncommutative surfaces. JOURNAL OF MATHEMATICAL PHYSICS[J]. 2008, 49(7): https://www.webofscience.com/wos/woscc/full-record/WOS:000258175300025.
[31] Zhang, Xiao. A new quasi-local mass and positivity. ACTA MATHEMATICA SINICA-ENGLISH SERIES[J]. 2008, 24(6): 881-890, http://lib.cqvip.com/Qikan/Article/Detail?id=27329222.
[32] Xiao ZHANG. A New Quasi-local Mass and Positivity. 数学学报：英文版[J]. 2008, 24(6): 881-890, http://lib.cqvip.com/Qikan/Article/Detail?id=27329222.
[33] Huang, Wenling, Zhang, Xiao. On the relation between ADM and Bondi energy-momenta III-perturbed radiative spatial infinity. SCIENCE IN CHINA SERIES A-MATHEMATICS[J]. 2007, 50(9): 1316-1324, https://www.webofscience.com/wos/woscc/full-record/WOS:000249379200010.
[34] Zhang, Xiao. On the relation between ADM and Bondi energy-momenta. ADVANCES IN THEORETICAL AND MATHEMATICAL PHYSICS[J]. 2006, 10(2): 261-282, https://www.webofscience.com/wos/woscc/full-record/WOS:000240766700005.
[35] Huang, WenLing, Yau, Shing Tung, Zhang, Xiao. Positivity of the Bondi mass in Bondi's radiating spacetimes. RENDICONTI LINCEI-MATEMATICA E APPLICAZIONI[J]. 2006, 17(4): 335-349, https://www.webofscience.com/wos/woscc/full-record/WOS:000208455100003.
[36] Wang, Yaohua, Zhang, Xiao. Nonexistence of time-periodic solutions of the Dirac equation in nonextreme Kerr-Newman-AdS spacetime. http://arxiv.org/abs/1608.05249.

已指导学生

徐旭  博士研究生  070101-基础数学  

王鼎  博士研究生  070101-基础数学  

张召本  硕士研究生  070101-基础数学  

王耀华  博士研究生  070101-基础数学  

梁卓滨  博士研究生  070101-基础数学  

许冬玲  硕士研究生  070101-基础数学  

杨春  硕士研究生  070101-基础数学  

现指导学生

周钰人  硕士研究生  070101-基础数学  

谢方泉  博士研究生  070101-基础数学