Author:
Wang Yaning, ,Zhang Yingdong
Abstract
<abstract><p>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.</p></abstract>
Publisher
American Institute of Mathematical Sciences (AIMS)
Reference7 articles.
1. R. Al-Ghefari, Jacobi-type vector fields on Käehler manifold, Pure Math. Sci., 2 (2013), 127–132.
2. B. Y. Chen, S. Deshmukh, A. A. Ishan, On Jacobi-type vector fields on Riemannian manifolds, Math., 7 (2019), 1139.
3. A. M. Cherif, Some results on harmonic and bi-harmonic maps, Int. J. Geom. Methods Mod. Phys., 14 (2017), 1750098.
4. S. Deshmukh, Real hypersurfaces of a complex projective space, Proc. Indian Acad. Sci. Math. Sci., 121 (2011), 171–179.
5. S. Deshmukh, Jacobi-type vector fields on Ricci solitons, Bull. Math. Soc. Sci. Math. Roumanie, 55 (2012), 41–50.