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

Gherici Beldjilali; Benaoumeur Bayour; Habib Bouzir

doi:10.46298/cm.10390

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arXiv · 2211.11532

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

Gherici Beldjilali·Benaoumeur Bayour·Habib Bouzir

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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 $C_{12}$-manifolds which are non-normal almost contact manifolds and classifying all biharmonic Legendre curves in these manifolds.

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Gherici Beldjilali, Benaoumeur Bayour, Habib Bouzir. 2022-12-20. Legendre curves on 3-dimensional $C_{12}$-Manifolds. https://doi.org/10.46298/cm.10390

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