Conformal vector fields with respect to the Sasaki metric tensor field

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2005

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Şimşir, Fatma Muazzez

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On the tangent bundle of a Riemannian manifold the most natural choice of metric tensor field is the Sasaki metric. This immediately brings up the question of infinitesimal symmetries associated with the inherent geometry of the tangent bundle arising from the Sasaki metric. The elucidation of the form and the classification of the Killing vector fields have already been effected by the Japanese school of Riemannian geometry in the sixties. In this thesis we shall take up the conformal vector fields of the Sasaki metric with the help of relatively advanced techniques.

Subject Keywords

Geometry.

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http://etd.lib.metu.edu.tr/upload/12605857/index.pdf
https://hdl.handle.net/11511/15041

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Graduate School of Natural and Applied Sciences, Thesis

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Citation Formats

F. M. Şimşir, “Conformal vector fields with respect to the Sasaki metric tensor field,” Ph.D. - Doctoral Program, Middle East Technical University, 2005.