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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

박건|장창림|B. Min
영남수학회 (Youngnam Mathematical Society)|2010.11|East Asian Mathematical Journal|제26권 제5호|pp. 607-614

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참고문헌

키워드

Pseudoriemannian 2-step Nilpotent groups
주제분류수학

초록

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.

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.

참고문헌 (6)

  1. P. Eberlein, "Geometry of 2-step nilpotent groups with a left invariant metric", Ann. Sci. Ecole Norm. Sup., 27, pp.611~660 (1994)
  2. M. Guederi, "Lorentz Geometry of 2-Step Nilpotent Lie Groups", Geom. Dedicata, 100, pp.11~51 (2003)
  3. C. Jang, "Skewadjoint Operators on Pseudoeuclidean spaces", ~
  4. C. Jang, "Pseudo H-type 2-step Nilpotent Lie Groups", Houston J. Math., 31, pp.765~786 (2005)
  5. A. Kaplan, "Riemannian nilmanifolds attached to Cliord modules", Geom. Dedicata, 11, pp.127~136 (1981)
  6. K. Park, "Jacobi operators along geodesics in 2-step nilmanifolds", Pusan Kyoungnam Math. Jour., 12, pp.175~182 (1996)

관련 논문AI추천

CONJUGATE LOCI OF 2-STEP NILPOTENT LIE GROUPS SATISFYING J²z = <Sz, z>A박근, 이태훈, 장창림대한수학회 · 대한수학회지2008 · 제45권 제6호Totally geodesic and parallel hypersurfaces of 4-dimensional Lorentzian nilpotent Lie groupsJinguo Jiang, Yanni Yang대한수학회 · 대한수학회보2025 · 제62권 제4호Nilpotency of the Ricci operator of pseudo-Riemannian solvmanifoldsHuihui An, Shaoqiang Deng, Zaili Yan대한수학회 · 대한수학회보2024 · 제61권 제3호SEMI-RIEMANNIAN MANIFOLDS WITH HOMOGENEOUS GEODESICS홍성관영남수학회 · East Asian Mathematical Journal2023 · 제39권 제1호Left invariant Lorentzian metrics and curvatures on non-unimodular Lie groups of dimension three이종범, 하구용대한수학회 · 대한수학회지2023 · 제60권 제1호Left-invariant minimal unit vector fields on a Lie group of constant negative sectional curvature이승훈대한수학회 · 대한수학회보2009 · 제46권 제4호

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