非交换指标定理和非交换留数的研究

11771070
2017
A0108.整体微分几何
王勇
面上项目
教授
东北师范大学
45万元
重力;非交换几何;陈-Connes特征;指标定理;非交换留数
2018-01-01到2021-12-31
  • 中英文摘要
  • 结题摘要
  • 结题报告
  • 项目成果
  • 项目参与人
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序号 标题 类型 作者
1 Twisted dirac operators and Kastler-Kalau-Walze theorems for six-dimensional manifolds with boundary 期刊论文 魏斯宁;王勇
2 Propagation phenomena for mono-weakly hyponormal operator pairs 期刊论文 段永江;庞世豪;王司宇
3 Affine connections on singular warped products 期刊论文 王勇
4 Left-invariant Riemann solitons of three-dimensional Lorentzian Lie groups 期刊论文 王勇
5 Complex Finsler vector bundles with positive Kobayashi curvature 期刊论文 冯惠涛;刘克峰;万学远
6 Geometry of special curves and surfaces in 3-space form 期刊论文 黄杰;陈亮;S. Izumiya;裴东河
7 Generalized semi-symmetric non–metric connections of non-integrable distributions 期刊论文 吴彤;王勇
8 Gauss-Bonnet theorems in the generalized affine group and the generalized BCV spaces 期刊论文 吴彤;王勇
9 General Kasler-Klalau-Walze type theorems for manifolds with boundary II 期刊论文 王勇
10 A local equivariant index theorem for sub-signature operators 期刊论文 包开花;王剑;王勇
11 Chen inequalities for submanifolds of complex space forms and Sasakian space forms with quarter-symmetric connections 期刊论文 王勇
12 Affine Ricci solitons of three-dimensional Lorentzian Lie groups 期刊论文 王勇
13 Gauss-Bonnet theorems and the Lorentzian Heisenberg group 期刊论文 吴彤;魏斯宁;王勇
14 Affine connections of non integrable distributions 期刊论文 王勇
15 Codazzi tensors and the quasi-statistical structure associated to affine connections on three-dimensional Lorentzian Lie groups 期刊论文 吴彤;王勇
16 Modified Novikov Operators and the Kastler-Kalau-Walze type theorem for manifolds with boundary 期刊论文 魏斯宁;王勇
17 Minimal translation surfaces with respect to semi-symmetric connections in R3 and R^1_3 期刊论文 王勇
18 Gauss-Bonnet theorems in the BCV spaces and the twisted Heisenberg group 期刊论文 王勇;魏斯宁
19 Statistical de Rham Hodge operators and the Kastler-Kalau-Walze type theorem for manifolds with boundary 期刊论文 魏斯宁;王勇
20 Affine Ricci Solitons associated to the Bott connection on three-dimensional Lorentzian Lie groups 期刊论文 吴彤;王勇
21 推广的韩-刘-张反常消去公式 期刊论文 王勇;吴彤
22 Gauss-Bonnet theorems in the Lorentzian Heisenberg group and the Lorentzian group of rigid motions of the Minkowski plane 期刊论文 魏斯宁;王勇
23 Gauss Bonnet theorems in the affine group and the group of rigid motions of the Minkowski plane 期刊论文 王勇;魏斯宁
24 Gravity, Robertson-Walker metric and the Wodzicki residue 期刊论文 王剑;王勇;杨春玲
25 Sub-signature operators and the Kastler-Kalau-Walze type theorem for manifolds with boundar 期刊论文 吴彤;魏斯宁;王勇
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