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微分几何
  • 项目名称：微分几何
  • 项目类别：创新研究群体科学基金
  • 批准号：10921061
  • 申请代码：A0103
  • 项目来源：国家自然科学基金
  • 研究期限：2010-01-01-2012-12-31
  • 项目负责人：张伟平
  • 负责人职称：教授
  • 依托单位：南开大学
  • 批准年度：2009
中文摘要：

中文主题词Atiyah-Singer指标理论；闭测地线；黎曼流形上的几何与拓扑；算术代数几何；数学物理

中文主题词：
英文摘要：

Atiyah-Singer index theory；closed geodesics；geometry and topology on Riem；arithmetical algebraic geometr；mathematical physics

英文主题词： Atiyah-Singer index theory；closed geodesics；geometry and topology on Riem；arithmetical algebraic geometr；mathematical physics
成果综合统计
成果类型
数量
  • 期刊论文
  • 会议论文
  • 专利
  • 获奖
  • 著作
  • 58
  • 0
  • 0
  • 0
  • 1
期刊论文
GENERALIZED WITTEN GENUS AND VANISHING THEOREMS
Novikov algebras and Schrödinger-Virasoro Lie algebras
A Tauberian theorem for ?-adic sheaves on A 1
On a branching law of unitary representations and a conjecture of Kobayashi
O-operators of Loday algebras and analogues of the classical Yang-Baxter equation
Realizations of conformal current-type Lie algebras
Operator forms of the classical Yang-Baxter equation in Lie superalgebras
Some results on L-dendriform algebras
Brake subharmonic solutions of first order Hamiltonian systems
Existence of symmetric positive solutions for a three-point singular boundary value problem with a p
Some abstract critical point theorems for self-adjoint operator equations and applications
On a class of Lie groups with a left invariant flat pseudo-metric
Classification of graded left-symmetric algebraic structures on Witt and Virasoro algebras
Toeplitz operators and asymptotic analytic torsion
Linking solutions for p-Laplace equations with nonlinear boundary conditions and indefinite weight
Multiple positive solutions to a nonhomogeneous boundary value problem for a class of third-order p
A Poincar,-Hopf type formula for Chern character numbers
Existence and multiplicity of homoclinic solutions for the second order Hamiltonian systems
An operator approach to the rational solutions of the classical Yang-Baxter equation
Classification of (n+2)-dimensional metric n-Lie algebras
Multiplicity of positive pseudo-symmetric solutions for a four-point boundary velue problem with a o
Special symplectic Lie groups and hypersymplectic Lie groups
A twisted generalization of linear Poisson brackets of hydrodynamic type
Calculation of ?-adic local Fourier transformations
Prealternative algebras and prealternative bialgebras
The decomposition of metric n-Lie algebras and the uniqueness
Adiabatic limit, Bismut-Freed connection, and the real analytic torsion form
Nonabelian generalized Lax pairs, the classical Yang-Baxter equation and PostLie algebras
Yangian symmetry in molecule {V6} and four-spin Heisenberg model
Existence of nontrivial solutions for p-Laplacian equations in R N
Infinitely many periodic solutions for second order Hamiltonian systems
An index theory for symplectic paths associated with two Lagrangian subspaces with applications
Generalizations of the classical Yang-Baxter equation and O-operators
指标定理在中国的萌芽:纪念陈省身先生
Double constructions of Frobenius algebras, Connes cocycles and their duality
The existence of two closed geodesics on every Finsler 2-sphere
Naturally reductive homogeneous Finsler spaces
A Hom-version of the affinizations of Balinskii-Novikov and Novikov superalgebras
Functions on tori with minimal number of critical points and rotation type solutions of spatially pe
Modular forms and generalized anomaly cancellation formulas
J-dendriform algebras
The socle of a metric n-Lie algebra
A left-symmetric algebraic approach to left invariant flat (pseudo-)metrics on Lie groups
Post Lie algebra structures on the Lie algebra SL(2,C)
Perturbation of sectorial projections of elliptic pseudo-differential operators
著作
Etale cohomology theory
张伟平的项目
ICM2002数学卫星会议4
流形的几何与拓扑
期刊论文 7
微分几何
期刊论文 49
微分几何
期刊论文 80
　微分几何
整体微分几何
期刊论文 32
Aeigut-singer指标定理及其作用
期刊论文 6