Pseudo-Parallel Characteristic Jacobi Operators on Contact Metric 3 Manifolds | Zendy

Wenjie Wang | Zendy; Xinxin Dai | Zendy

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Pseudo-Parallel Characteristic Jacobi Operators on Contact Metric 3 Manifolds

Author(s) -

Wenjie Wang,

Xinxin Dai

Publication year - 2021

Publication title -

journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.252

H-Index - 13

eISSN - 2314-4785

pISSN - 2314-4629

DOI - 10.1155/2021/6148940

Subject(s) - mathematics , metric (unit) , jacobi operator , manifold (fluid mechanics) , invariant (physics) , pure mathematics , dimension (graph theory) , operator (biology) , lie group , mathematical analysis , mathematical physics , jacobi polynomials , mechanical engineering , biochemistry , operations management , chemistry , repressor , transcription factor , engineering , economics , orthogonal polynomials , gene

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.

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