C-parallel Mean Curvature Vector Fields along Slant Curves in Sasakian 3-manifolds

• Journal title : Kyungpook mathematical journal
• Volume 52, Issue 1,  2012, pp.49-59
• Publisher : Department of Mathematics, Kyungpook National University
• DOI : 10.5666/KMJ.2012.52.1.49
Title & Authors
C-parallel Mean Curvature Vector Fields along Slant Curves in Sasakian 3-manifolds
Lee, Ji-Eun; Suh, Young-Jin; Lee, Hyun-Jin;

Abstract
In this article, using the example of C. Camci([7]) we reconfirm necessary sufficient condition for a slant curve. Next, we find some necessary and sufficient conditions for a slant curve in a Sasakian 3-manifold to have: (i) a $\small{C}$-parallel mean curvature vector field; (ii) a $\small{C}$-proper mean curvature vector field (in the normal bundle).
Keywords
Slant curves;Mean curvature vector fields;$\small{C}$-parallel;Sasakian manifolds;
Language
English
Cited by
1.
PSEUDOHERMITIAN LEGENDRE SURFACES OF SASAKIAN SPACE FORMS,;

대한수학회논문집, 2015. vol.30. 4, pp.457-469
1.
On slant curves in normal almost contact metric 3-manifolds, Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, 2014, 55, 2, 603
2.
PSEUDOHERMITIAN LEGENDRE SURFACES OF SASAKIAN SPACE FORMS, Communications of the Korean Mathematical Society, 2015, 30, 4, 457
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