Pseudo-Parallel Characteristic Jacobi Operators on Contact Metric 3 Manifolds

We prove that the characteristic Jacobi operator on a contact metric three manifold is semiparallel if and only if it vanishes. We determine Lie groups of dimension three admitting left invariant contact metric structures such that the characteristic Jacobi operators are pseudoparallel.

Saved in:
Bibliographic Details
Main Authors: Wenjie Wang, Xinxin Dai
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2021/6148940
Tags: Add Tag
No Tags, Be the first to tag this record!