The solutions of covariant derivative equations of cross section in associated bundles

Nonlinear Analysis, Theory, Methods and Applications

Volumn 68, Issue 11, 2008, Pages 3419-3427

  Xue, Changfeng ^a,b   Tan, Wenchang ^b  

^a YANCHENG INSTITUTE OF TECHNOLOGY   (China)

^b PEKING UNIVERSITY   (China)

Author keywords

Hopf bundle; Index number; Lifting; Sheaf

Indexed keywords

COVARIANCE MATRIX; HOPF BIFURCATION; LAPLACE EQUATION; NUMBER THEORY; PROBLEM SOLVING; THEOREM PROVING;

HOPF BUNDLES; INDEX NUMBERS; LIFTING; SHEAF;

NONLINEAR EQUATIONS;

EID: 41749108889     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2007.03.033     Document Type: Article

References (6)

1. Kobayashi S., and Nomizu K. Foundations of Differential Geometry vol. I-II (1963; 1969), New York Interscience
2. Warner F.W. Foundations of Differentiable Manifolds and Lie Groups (1983), Springer-Verlag
3. Greenberg M.J., and Harpor J.R. Algebraic Topology (1981), Benjamin-Cummings
4. Hou B.Y., and Hou B.Y. Differential Geometry Used by Physicists. 2nd ed. (2004), Science Press, Beijing
5. Wang Z.D., Guo M.Z., and Qian M. Diffusion process of the principal bundle and differential operator of cross section in associated bundles. Sci. China Ser. A 6 (1991) 569-581
6. Wang Z.D., Guo M.Z., and Qian M. Geometry quantization and group representation. Sci. China Ser. A 1 (1994) 28-36