Gherici Beldjilali ; Benaoumeur Bayour ; Habib Bouzir
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Legendre curves on 3-dimensional $C_{12}$-Manifolds
cm:10390 -
Communications in Mathematics,
December 21, 2022,
Volume 31 (2023), Issue 1
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https://doi.org/10.46298/cm.10390Legendre curves on 3-dimensional $C_{12}$-ManifoldsArticle
Authors: Gherici Beldjilali ; Benaoumeur Bayour ; Habib Bouzir
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Gherici Beldjilali;Benaoumeur Bayour;Habib Bouzir
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.
Comment: 10 pages
Volume: Volume 31 (2023), Issue 1
Published on: December 21, 2022
Accepted on: November 30, 2022
Submitted on: November 29, 2022
Keywords: Mathematics - General Mathematics, Primary 53D15, Secondary 53B25