East Asian mathematical journal

The Youngnam Mathematical Society (영남수학회)
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GEODESIC FORMULA OF A CERTAIN CLASS OF PSEUDORIEMANNIAN 2-STEP NILPOTENT GROUPS AND JACOBI OPERATORS ALONG GEODESICS IN PSEUDORIEMANNIAN 2-STEP NILPOTENT GROUPS

  • Min, B. (DEPARTMENT OF MATHEMATICS, COLLEGE OF NATURAL SCIENCES UNIVERSITY OF ULSAN) ;
  • Jang, C. (DEPARTMENT OF MATHEMATICS, COLLEGE OF NATURAL SCIENCES UNIVERSITY OF ULSAN) ;
  • Park, K. (DEPARTMENT OF MATHEMATICS, COLLEGE OF NATURAL SCIENCES UNIVERSITY OF ULSAN)
  • Received : 2010.01.25
  • Accepted : 2010.05.12
  • Published : 2010.11.30
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Abstract

In this paper, we obtain geodesic formula of a certain class of Pseudoriemmanian 2-step nilpotent groups and show a constancy of represenation matrix of Jacobi oprerators along geodesics in Pseudoriemmanian 2-step nilpotent groups with one dimensional center.

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