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oai:ebyu-rdlopen.rawdatalibrary.net:ebyu/121672026-10-18T20:56:43Zopenairedrivercom_ebyu_10000col_ebyu_10001

STATISTICAL STRUCTURES AND KILLING VECTOR FIELDS ON TANGENT BUNDLES WITH RESPECT TO TWO DIFFERENT METRICSAltunbaş, MuratRiemannian metricStatistical manifoldtangent bundleLet (M, g) be a Riemannian manifold and T M be its tangent bundle. The purpose of this paper is to study statistical structures on T M with respect to the metrics Gf1=c g +v (fg) and Gf2=s gf +h g, where f is a smooth function on M,c g is the complete lift of g,v (fg) is the vertical lift of fg,s gf is a metric obtained by rescaling the Sasaki metric by a smooth function f andh g is the horizontal lift of g. Moreover, we give some results about Killing vector fields on T M with respect to these metrics. © 2023 Ankara University Mathematics and Statistics.Ankara University Faculty of Science2023Articlehttps://rdlopen.rawdatalibrary.net/r/ebyu/12167https://doi.org/10.31801/cfsuasmas.11601351303-5991enCommunications Faculty of Sciences University of Ankara Series A1 Mathematics and Statisticsinfo:eu-repo/semantics/openAccessinfo:eu-repo/semantics/articlehttps://ebyu-rdlopen.rawdatalibrary.net/tr/items/ebyu/12167