Slant curves in the unit tangent bundles of surfaces (Q2014753)
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scientific article; zbMATH DE number 6304705
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Slant curves in the unit tangent bundles of surfaces |
scientific article; zbMATH DE number 6304705 |
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Slant curves in the unit tangent bundles of surfaces (English)
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16 June 2014
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Summary: Let \((M, g)\) be a surface and let \((U(TM),G)\) be the unit tangent bundle of \(M\) endowed with the Sasaki metric. We know that any curve \(\Gamma(s)\) in \(U(TM)\) is given by a curve \(\gamma(s)\) in \(M\) and a unit vector field \(X(s)\) along \(\gamma(s)\). In this paper we study the geometric properties \(\gamma(s)\) and \(X(s)\) satisfying when \(\Gamma(s)\) is a slant geodesic.
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Legendrian curves
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Reeb vector field
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slant geodesics
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