Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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Jacobi fields and conjugate points on heisenberg group

  • Park, Keun (Department of Mathematics, University of Ulsan, Ulsan 680-749)
  • Published : 1998.02.01
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Abstract

Let N be the 3-dimensional Heisenberg group equipped with a left-invariant metric on N. We characterize the Jacobi fields and the conjegate points along a geodesic on N, which points out that Theorem 4 of [1] is not correct.

Keywords

References

  1. C. R. Acad. Sci. Paris S´er.I v.318 Geometry of generalized Heisenberg groups and their DamakRicci harmonic extensions J. Berndt, F. Tricerri ;L. Vanhecke
  2. Ann. scient. Ecole Normale Sup v.27 Geometry of 2step Nilpotent Lie groups with a left invariant metric P. Eberlein
  3. Geom. Dedicata v.11 Riemannian Nilmanifolds attached to Clifford modules A. Kaplan
  4. Bull. London Math. Soc v.15 On the geometry of groups of Heisenberg Type A. Kaplan
  5. Indiana Univ. Math. Journal v.45 Smoothly Closed Geodesics in 2-step Nilmanifolds K. B. Lee;K. Park