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http://dx.doi.org/10.7858/eamj.2010.26.5.607

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)
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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.
Keywords
Pseudoriemannian 2-step Nilpotent groups;
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