Smoothly closed geodesics in 2-step nilmanifolds

Indiana University Mathematics Journal

Volumn 45, Issue 1, 1996, Pages 1-14

  Lee, Kyung Bai ^a   Park, Keun ^b  

^a UNIVERSITY OF OKLAHOMA   (United States)

^b University of Ulsan   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0002752597     PISSN: 00222518     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (9)

1. W. BOOTHBY, An Introduction to Differentiable Manifolds and Riemannian Geometry, Academic Press, New York, 1980.
2. P. EBERLEIN, Geometry of 2-step Nilpotent Lie groups with a left invariant metric, Ann. Scient. Ecole Normale Sup. 27 (1994), 611-660.
3. _, Geometry of 2-step Nilpotent Lie groups with a left invariant metric II, Trans. American Math Soc. 343 (1994), 805-828.
4. A. KAPLAN, Riemannian Nilmanifolds attached to Clifford modules, Geom. Dedicata 11 (1981), 127-136.
5. _, On the geometry of groups of Heisenberg Type, Bull. London Math. Soc. 15 (1983), 35-42.
6. T. KATO, Perturbation Theory for Linear Operators, Springer-Verlag, New York, 1984.
7. M. MAST, Closed geodesics in 2-step Nilmanifolds, Indiana Univ. Math J. 43 (1994), 885-911.
8. Y. MATSUSHIMA, Differentiable Manifolds, Marcell Dekker, New York, 1972.
9. J. MILNOR, Curvatures of Left invariant metrics on Lie groups, Advances in Math 21 (1976), 293-329.