On C-parallel legendre curves in non-Sasakian contact metric manifolds

DOI10.2298/FIL1914481OzbMath1499.53238arXiv1906.03313OpenAlexW3007468742MaRDI QIDQ5863962

Cihan Özgür

Publication date: 3 June 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.03313

zbMATH Keywords

Legendre curvecontact metric manifold\(\mathcal{C}\)-parallel mean curvature vector field\(\mathcal{C}\)-proper mean curvature vector field

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global submanifolds (53C40) Contact manifolds (general theory) (53D10) Surfaces in Euclidean and related spaces (53A05)

Related Items (2)

Unnamed Item ⋮ C-parallel and C-proper slant curves of S-manifolds

Cites Work

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• Biharmonic submanifolds in non-Sasakian contact metric 3-manifolds
• Homogeneous contact Riemannian three-manifolds
• Integral surfaces of Sasakian space forms
• On Legendre curves in contact 3-manifolds
• Submanifolds in de Sitter space-time satisfying \(\Delta H = \lambda H\)
• On slant curves in Sasakian 3-manifolds
• A characterisation of Helices and Cornu spirals in real space forms
• Submanifolds with harmonic mean curvature vector field in contact 3-manifolds
• C-parallel Mean Curvature Vector Fields along Slant Curves in Sasakian 3-manifolds
• Riemannian geometry of contact and symplectic manifolds

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