The theorem of E. Hopf under uniform magnetic fields

Journal of the Mathematical Society of Japan

Volumn 50, Issue 3, 1998, Pages 767-779

  Gouda, Norio ^a  

^a HITACHI LTD   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040428307     PISSN: 00255645     EISSN: 18811167     Source Type: Journal    
DOI: 10.2969/jmsj/05030767     Document Type: Article

References (8)

1. T. Adachi, Kahler magnetic flows for a manifold of constant holomorphic sectional curvature, Tokyo J. Math. 18 (1995) 473-483.
2. N. Gouda, Magnetic flows of Anosov type, Tohoku Math. J., to appear.
3. L. W. Green, A theorem of E. Hopf, Michigan Math. J. 5 (1958) 31-34.
4. F. Guimaraes, The integral of the scalar curvature of complete manifolds without conjugate points, J. Differential Geom. 36 (1992) 651-662.
5. E. Hopf, Closed surfaces without conjugate points, Pros. Nat. Acad. Sci. U.S.A. 34 (1948) 47-51.
6. N. Innami, Manifolds without conjugate points and with integral curvature zero, J. Math, Soc. Japan 41 (1989) 251-261.
7. S. Sasaki, On the differential geometry of tangent bundles of Riemannian manifolds, Tohoku Math. J. 10 (1958) 338-354.
8. T. Sunada, Magnetic flows on a Riemannian surface, Proc. of KAIST Math. Workshop 8 (1993), Analysis and Geometry, Korea, 93-108