In this paper, we determine the Jacobi-type vector fields on the hyperbolic 3-space $ \mathbb{H}^3 $ and the Euclidean 3-space $ \mathbb{R}^3 $, respectively. In terms of this, infinitely many non-trivial Jacobi-type vector fields are given.
Citation: Yaning Wang, Yingdong Zhang. Jacobi-type vector fields on $ \mathbb{H}^3 $ and $ \mathbb{R}^3 $[J]. AIMS Mathematics, 2021, 6(11): 11894-11903. doi: 10.3934/math.2021690
In this paper, we determine the Jacobi-type vector fields on the hyperbolic 3-space $ \mathbb{H}^3 $ and the Euclidean 3-space $ \mathbb{R}^3 $, respectively. In terms of this, infinitely many non-trivial Jacobi-type vector fields are given.
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Yaning Wang, Yingdong Zhang. Jacobi-type vector fields on $ \mathbb{H}^3 $ and $ \mathbb{R}^3 $[J]. AIMS Mathematics, 2021, 6(11): 11894-11903. doi: 10.3934/math.2021690
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