J-trajectories in 4-dimensional solvable Lie group Sol_0^4

J-trajectories in 4-dimensional solvable Lie group Sol_0^4
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4 维可解李群 Sol_0^4 中的 J 轨迹

DOI:
10.1007/s11040-022-09418-5
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发表时间:
2022
期刊:
Mathematical Physics, Analysis and Geometry
影响因子:
--
通讯作者:
Jun-ichi
Jun-ichi
中科院分区:
--
文献类型:
--
作者:
Erjavec;Zlatko;Inoguchi;Jun-ichi

文献摘要

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J轨线是几乎厄米流形上满足方程的弧长参数曲线。本文研究了可解李群中的J-轨线。研究了反Lee场具有常长的任意LCK流形中非测地线J-轨线的第一曲率和第二曲率。特别地,非测地线轨迹的曲率特征。
J-trajectories are arc length parameterized curves in almost Hermitian manifold which satisfy the equation. In this paperJ-trajectories in the solvable Lie groupare investigated. The first and the second curvature of a non-geodesicJ-trajectory in an arbitrary LCK manifold whose anti Lee field has constant length are examined. In particular, the curvatures of non-geodesicJ-trajectories inare characterized.