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Legendre curves on 3-dimensional $C_{12}$-Manifolds

General Mathematics 2023-06-22 v2

Abstract

Legendre curves play a very important and special role in geometry and topology of almost contact manifolds.There are certain results known for Legendre curves in 3-dimensional normal almost contact manifolds. The aim of this paper is to study Legendre curves of three-dimensional C12C_{12}-manifolds which are non-normal almost contact manifolds and classifying all biharmonic Legendre curves in these manifolds.

Keywords

Cite

@article{arxiv.2211.11532,
  title  = {Legendre curves on 3-dimensional $C_{12}$-Manifolds},
  author = {Gherici Beldjilali and Benaoumeur Bayour and Habib Bouzir},
  journal= {arXiv preprint arXiv:2211.11532},
  year   = {2023}
}

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10 pages