Characteristic Jacobi Operator on Almost Kenmotsu $3$-manifolds

Year 2023, Volume: 16 Issue: 2, 464 - 525, 29.10.2023

Jun-ichi Inoguchı

https://doi.org/10.36890/iejg.1300339

Abstract

The Ricci tensor field, $\varphi$-Ricci tensor field and the characteristic Jacobi operator
on almost Kenmotsu $3$-manifolds are investigated. We give a classification of
locally symmetric almost Kenmotsu $3$-manifolds.

Keywords

Almost Kenmotsu manifolds, characteristic Jacobi operator, locally symmetric, Lie groups

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