Slant Curves in the Unit Tangent Bundles of Surfaces. (5th December 2013)

• Record Type: Journal Article
• Authors: Hou, Zhong Hua; Sun, Lei
• Other Names: Friedrich T. Academic Editor.; Pontecorvo M. Academic Editor.
• Is Part Of: ISRN geometry. Volume 2013(2013)
• Publication Date: 2013-12-05
• Subjects: Geometry -- Periodicals; Topology -- Periodicals; Geometry; Topology; Periodicals; 516
• DOI: 10.1155/2013/821429
• Languages: English
• ISSNs: 2090-6307

Abstract

Abstract : Let ( M, g ) be a surface and let ( U ( T M ), G ) be the unit tangent bundle of M endowed with the Sasaki metric. We know that any curve Γ ( s ) in U ( T M ) consist of a curve γ ( s ) in M and as unit vector field X ( s ) along γ ( s ) . In this paper we study the geometric properties γ ( s ) and X ( s ) satisfying when Γ ( s ) is a slant geodesic.