- 微分流形
- 微分几何
- 2017学硕
- 2019学硕
- 2020学硕
- 黎曼几何
- 2018级硕士
- 2021学硕
- 项目:
- 1. 非交换指标定理和非交换留数的研究,国家自然科学基金项目,2017年
- 2. 教育部新世纪优秀人才支持计划NCET-13-0721,主管部门科技项目,2013年
- 3. 指标定理、椭圆亏格、非交换留数和热核,国家自然科学基金项目,2012年
- 4. 椭圆亏格,示性数,刚性定理和非交换几何,主管部门科技项目,2011年
- 5. Wodzicki留数、共形不变微分算子及其应用,校内自然科学青年基金,2009年
- 6. 奇数维的等变指标定理和椭圆亏格,国家自然科学基金项目,2009年
- 论文:
- 1. 分布卷积上的 Levi-Civita 联络,东北师大学报(自然科学版),2023年
- 2. The Dabrowski-Sitarz-Zalecki type theorems for six dimensional manifolds with boundary,JOURNAL OF MATHEMATICAL PHYSICS,2023年
- 3. Dirac operators with torsion, spectral Einstein functionals and the noncommutative residue,JOURNAL OF MATHEMATICAL PHYSICS,2023年
- 4. Statistical de Rham Hodge operators and general Kastler-Kalau-Walze type theorems for manifolds with boundary,JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS,2023年
- 5. SUPER WARPED PRODUCTS WITH A SEMI-SYMMETRIC METRIC CONNECTION,Global Journal of Advanced Research,2023年
- 6. RIEMANNIAN GEOMETRY OF NONCOMMUTATIVE SUPER SURFACES,Global Journal of Advanced Research,2023年
- 7. A Kastler-Kalau-Walze Type Theorem for the J-Twist DJ of the Dirac Operator,J NONLINEAR MATH PHY,2023年
- 8. The J-twist DJ of the Dirac operator and the Kastler-Kalau-Walze type theorem for six-dimensional manifolds with boundary,INT J GEOM METHODS M,2023年
- 9. Twisted Dirac operators and the Kastler-Kalau-Walze type theorem for five dimensional manifolds with boundary,TURKISH JOURNAL OF MATHEMATICS,2023年
- 10. THE GENERALIZED NONCOMMUTATIVE RESIDUE AND THE KASTLER-KALAU-WALZE TYPE THEOREM,Global Journal of Advanced Research,2023年
- 11. The Kastler-Kalau-Walze Type Theorems for the Perturbation of the de Rham Hodge Operator,J NONLINEAR MATH PHY,2022年
- 12. The operator -1cˆ(V)(d+δ) and the Kastler-Kalau-Walze type theorems,Advances in Operator Theory,2022年
- 13. Canonical Connections and Algebraic Ricci Solitons of Three-dimensional Lorentzian Lie Groups,CHINESE ANN MATH B,2022年
- 14. Super warped products with a semi-symmetric non-metric connection,AIMS MATHEMATICS,2022年
- 15. Dirac-Witten operators and the Kastler-Kalau-Walze type theorem for manifolds with boundary,J NONLINEAR MATH PHY,2022年
- 16. Sub-signature operators and the Kastler-Kalau-Walze type theorem for manifolds with boundary,JOURNAL OF GEOMETRY AND PHYSICS,2022年
- 17. Affine Ricci solitons associated to the Bott connection on three-dimensional Lorentzian Lie groups,TURKISH JOURNAL OF MATHEMATICS,2021年
- 18. A local equivariant index theorem for sub-signature operators,J NONLINEAR MATH PHY,2021年
- 19. Affine Ricci solitons of three-dimensional Lorentzian Lie groups,J NONLINEAR MATH PHY,2021年
- 20. Gauss-Bonnet theorems in the generalized affine group and the generalized BCV spaces,AIMS MATHEMATICS,2021年
- 21. Codazzi Tensors and the Quasi-Statistical Structure Associated with Affine Connections on Three-Dimensional Lorentzian Lie Groups,SYMMETRY-BASEL,2021年
- 22. Gauss-Bonnet theorems in the affine group and the group of rigid motions of the Minkowski plane,SCIENCE CHINA-MATHEMATICS,2021年
- 23. Minimal translation surfaces with respect to semi-symmetric connections in R3 and R31,BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY,2021年
- 24. Statistical de Rham Hodge Operators and the Kastler-Kalau-Walze Type Theorem for Manifolds With Boundary,J NONLINEAR MATH PHY,2021年
- 25. Gauss-Bonnet theorems and the Lorentzian Heisenberg group,TURKISH JOURNAL OF MATHEMATICS,2021年
- 26. Affine connections on singular warped products,INT J GEOM METHODS M,2021年
- 27. Gravity, Robertson–Walker metric and the Wodzicki residue,JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS,2021年
- 28. Gauss–Bonnet Theorems in the Lorentzian Heisenberg Group and the Lorentzian Group of Rigid Motions of the Minkowski Plane,SYMMETRY-BASEL,2021年
- 29. Left-Invariant Riemann Solitons of Three-Dimensional Lorentzian Lie Groups,SYMMETRY-BASEL,2021年
- 30. Generalized Semi-Symmetric Non-Metric Connections of Non-Integrable Distributions,SYMMETRY-BASEL,2021年
- 31. Twisted dirac operators and Kastler-Kalau-Walze theorems for six-dimensional manifolds with boundary,INT J GEOM METHODS M,2020年
- 32. Gauss-Bonnet theorems in the BCV spaces and the twisted Heisenberg group,RESULTS IN MATHEMATICS,2020年
- 33. Affine connections of non-integrable distributions,INT J GEOM METHODS M,2020年
- 34. Modified Novikov Operators and the Kastler-Kalau-Walze-Type Theorem for Manifolds with Boundary,ADVANCES IN MATHEMATICAL PHYSICS,2020年
- 35. 推广的韩-刘-张反常消去公式,数学学报,2019年
- 36. Chen inequalities for submanifolds of complex space forms and Sasakian space forms with quarter-symmetric connections,INT J GEOM METHODS M,2019年
- 37. General Kastler-Kalau-Walze type theorems for manifolds with boundary II,INT J GEOM METHODS M,2019年
- 38. Nonminimal de Rham-Hodge operators and non-commutative residue,JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS,2018年
- 39. A family resolvent cocycle and higher spectral flow,BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY,2017年
- 40. Modular Invariance and Anomaly Cancellation Formulas in Odd Dimension II,ACTA MATH SIN,2017年
- 41. An equivariant Kastler-Kalau-Walze type theorem,INT J GEOM METHODS M,2017年
- 42. The noncommutative family Atiyah-Patodi-Singer index theorem,J GEOM PHYS,2016年
- 43. VOLTERRA CALCULUS, LOCAL EQUIVARIANT FAMILY INDEX THEOREM AND EQUIVARIANT ETA FORMS,ASIAN J MATH,2016年
- 44. Twisted Dirac operators and the noncommutative residue for manifolds with boundary,JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS,2016年
- 45. The noncommutative infinitesimal equivariant index formula: part II,JOURNAL OF NONCOMMUTATIVE GEOMETRY,2016年
- 46. Modular invariance and anomaly cancellation formulas in odd dimension,J GEOM PHYS,2016年
- 47. A general Kastler-Kalau-Walze type theorem for manifolds with boundary,INT J GEOM METHODS M,2016年
- 48. The Equivariant Family Index Theorem in Odd Dimensions,ACTA MATH SIN,2015年
- 49. Multiply warped products with a quarter-symmetric connection,J MATH ANAL APPL,2015年
- 50. The Kastler-Kalau-Walze type theorem for six-dimensional manifolds with boundary,J MATH PHYS,2015年
- 51. Volterra calculus and the variation formulas for the equivariant Ray-Singer metric,INT J GEOM METHODS M,2015年
- 52. A Kastler-Kalau-Walze Type Theorem for five-dimensional Manifolds with Boundary,INT J GEOM METHODS M,2015年
- 53. A Kastler-Kalau-Walze Type Theorem for 7-Dimensional Manifolds with Boundary,ABSTR APPL ANAL,2014年
- 54. The Noncommutative Infinitesimal Equivariant Index Formula,JOURNAL OF K-THEORY,2014年
- 55. Dirac operators with torsion and the noncommutative residue for manifolds with boundary,J GEOM PHYS,2014年
- 56. Multiply Warped Products with a Semisymmetric Metric Connection,ABSTR APPL ANAL,2014年
- 57. A Kastler-Kalau-Walze Type Theorem and the Spectral Action for Perturbations of Dirac Operators on Manifolds with Boundary,ABSTR APPL ANAL,2014年
- 58. Curvature of multiply warped products with an affine connection,BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY,2013年
- 59. Noncommutative residue and sub-Dirac operators for foliations,J MATH PHYS,2013年
- 60. A note on modular forms and generalized anomaly cancellation formulas,Science China Mathematics,2013年
- 61. 双共形不变量和Wodzicki留数,数学物理学报,2012年
- 62. Nonminimal operators and non-commutative residue,J MATH PHYS,2012年
- 63. Geometric quantization of odd dimensional spin^c manifolds,BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY,2012年
- 64. Odd dimensional spin^c-manifolds and S^1 actions,数学杂志,2011年
- 65. Modular invariance and anomaly cancellation formulas,ACTA MATH SIN,2011年
- 66. Equivariant heat invariants of the laplacian and nonmininmal operators on differential forms,ACTA MATH SCI,2011年
- 67. Eigenvalue estimate for twisted Dirac operator and harmonic 1-form of constant length,数学进展,2011年
- 68. A Note on chern-Connes character and Elliptic Genera,数学进展,2010年
- 69. A note on generalized twisted anomaly cancellation formulas,ACTA MATH SIN,2010年
- 70. A general type of twisted anomaly cancellation formulas,Science China Mathematics,2010年
- 71. Conformal invariants and the Wodzicki Residue for Complex manifolds,数学进展,2010年
- 72. Lower dimensional volumes and Kastler-Kalau-Walze type theorem for manifolds with boundary,COMMUN THEOR PHYS,2010年
- 73. Transgression and twisted anomaly cancellation formulas on odd dimensional manifolds,J GEOM PHYS,2010年
- 74. Adiabatic limits, vanishing theorems and the noncommutative residue,SCI CHINA SER A,2009年
- 75. Rigidity theorems on odd dimensional manifolds,PURE APPL MATH Q,2009年
- 76. Syntheses and characterizations of four metal coordination polymers constructed by the pyridine-3,5-dicarboxylate ligand,POLYHEDRON,2008年
- 77. Synthesis and characterization of three Cu(II), Zn(II), Cd(II) supramolecular complexes bridged by biphenyl 2,2'-dicarboxylate,SOLID STATE SCI,2007年
- 78. A chiral 3D polymer with right- and left-helices based on 2,2'-biimidazole: Synthesis, crystal structure and fluorescent property,INORG CHEM COMMUN,2007年
- 79. Gravity and the Noncommutative Residue for Manifolds with Boundary,LETT MATH PHYS,2007年
- 80. Two novel lead-carboxylate complexes based on nicotinic acid N-oxide: Synthesis, crystal structures and luminescent properties,INORG CHEM COMMUN,2007年
- 81. Anion-directed assembly of two novel cadmium(II) complexes constructed by 2,2' -(1,4-butanediyl)bis(1H-benzimidazole) ligand,INORG CHEM COMMUN,2006年
- 82. The equivariant noncommutative Atiyah-Patodi-Singer index theorem,K-THEORY,2006年
- 83. Differential Forms and the Noncommutative Residue for manifolds with Boundary in the Non-product Case,LETT MATH PHYS,2006年
- 84. Differential forms and the Wodzicki residue for manifolds with boundary,J GEOM PHYS,2006年
- 85. Effects of DA-6 on Photosynthesis and Growth of Hordeum Brevisubulatum Seedlings,the proceedings of the china association for science and technology,2005年
- 86. Chern-Connes character for the invariant Dirac operator in odd dimensions,SCI CHINA SER A,2005年
- 87. 奇数维不变Dirac 算子的陈-Connes特征,中国科学A辑,2005年
- 88. Structure identification of five unknown dilipo-alkaloids extracted from processed tuber of Aconitum Carmiechaeli by electrospray ionization tabden mass spectrometry.,ANAL SCI,2003年
- 89. Characterization of aconitine-type alkaloids in the flowers of Aconitum kusnezoffii by electrospray ionization tandem mass spectrometry,journal of mass spectrometry,2003年
- 90. 附子配伍原则的电喷雾质谱研究,药学学报,2003年
- 91. Exploring the reaction of ester exchange for diester-diterpenoid alkaloids in the process of decocting aconite by electrospray ionization tandem mass spectrometry,,Rapid Commun. Mass Spectrom,2003年
- 92. 草乌花及其煎煮液中二萜生物碱的电喷雾串联质谱研究,药学学报,2003年
- 93. 四逆汤煎煮过程中生物碱的溶出和水解平衡,中草药,2003年
- 94. 雪上一枝蒿中二萜类生物碱的电喷雾串联质谱分析,分析化学,2003年
- 95. 提高MALDI-MS测量溶菌酶分子量灵敏度的研究,高等学校化学学报,2002年
- 96. Electrospray ionization tandem mass spectrometric study of the aconitines in the roots of aconite,Rapid Commun.mass Spectrom ,2002年
- 97. 生附子氢氧化钙炮制液的电喷雾质谱分析,分析测试学报(增刊) ,2002年
- 98. 虎眼万年青多糖对ConA诱导小鼠细胞释放IL-2及其mRNA表达的影响,中华中西医杂志 ,2002年
- 99. 白山草乌二萜生物碱的电喷雾串联质谱分析,质谱学报,2002年
- 100. 乌头碱类生物碱的质谱研究进展,质谱学报,2002年
- 101. 人参四逆汤抗休克作用的有效组分成分分析,中草药,2002年
- 102. 余秩不等于2余维为7的可微函数芽的分类,东北师大学报自然科学版 ,2001年
- 103. SOFT IONIZATION MASS SPECTROMETRY IN MONITORING THE DETOXIFICATION PROCESS OF Fuzi,第九届北京国际分析化学及仪器展览会论文集 ,2001年
- 104. 人参茎叶挥发油中倍半萜烯化合物的分离与鉴定,吉林大学自然科学学报,2001年
- 105. 用多变量统计分析方法辨识肺癌患者分类中的关键元素,分子科学 ,1999年
- 106. 分析化学中的非线性校准,分析化学,1998年
- 107. 反向传播人工神经网络在分析化学重叠信号解析中的应用,抚顺石油学院学报,1996年
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