@article{article_462637, title={Projective Vector Fields on the Cotangent Bundle with Modified Riemannian Extension}, journal={Journal of the Institute of Science and Technology}, volume={9}, pages={389–396}, year={2019}, DOI={10.21597/jist.462637}, author={Bilen, Lokman}, keywords={Fibre-preserving vector fields,infinitesimal projective transformations,Riemannian metric,modified Riemannian extension,adapted frame.}, abstract={<p class="MsoNormal" style="margin-bottom:.0001pt;text-align:justify;line-height:normal;"> <span lang="en-us" style="font-size:12pt;font-family:’Times New Roman’, serif;" xml:lang="en-us">Let </span> <span style="font-size:11pt;line-height:115%;font-family:Calibri, ’sans-serif’;"> </span> <span lang="en-us" style="font-size:12pt;font-family:’Times New Roman’, serif;" xml:lang="en-us"> be the cotangent bundle of an </span> <span style="font-size:11pt;line-height:115%;font-family:Calibri, ’sans-serif’;"> </span> <span lang="en-us" style="font-size:12pt;font-family:’Times New Roman’, serif;" xml:lang="en-us">dimensional Riemannian manifold </span> <span style="font-size:11pt;line-height:115%;font-family:Calibri, ’sans-serif’;"> </span> <span lang="en-us" style="font-size:12pt;font-family:’Times New Roman’, serif;" xml:lang="en-us">. </span> <span lang="en-us" style="font-size:12pt;font-family:’Times New Roman’, serif;" xml:lang="en-us">The purpose of the present paper is give a characterization of
fibre-preserving projective vector fields with respect to modified Riemannian
extension. </span> <span style="font-size:12pt;font-family:’Times New Roman’, serif;"> </span> </p> <p> </p>}, number={1}, publisher={Igdir University}