Open AccessJacobi-type vector fields on $ \mathbb{H}^3 $ and $ \mathbb{R}^3 $
Author(s) -
Yaning Wang,
Yingdong Zhang
Publication year - 2021
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 15
ISSN - 2473-6988
DOI - 10.3934/math.2021690
Subject(s) - type (biology) , vector field , mathematics , space (punctuation) , euclidean space , euclidean geometry , vector space , jacobi operator , combinatorics , pure mathematics , jacobi polynomials , geometry , computer science , orthogonal polynomials , biology , ecology , operating system
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.