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oai:ebyu-rdlopen.rawdatalibrary.net:ebyu/165622026-10-18T20:36:26Zopenairedrivercom_ebyu_10000col_ebyu_10001

HARMONIC MAPS ON COTANGENT AND UNIT COTANGENT BUNDLESAltunba, MuratRiemannian manifoldcotangent bundleSasaki metricsCheeger-Gromoll metricsharmonic mapsMETRICSMathematicsLet (M, g) be an n-dimensional Riemannian manifold and (T * M,g(-)) be its cotangent bundle with a metricg that generalizes Sasaki and Cheeger-Gromoll metrics. In this paper, we investigate the harmonicity of the canonical projection pi : (T * M,g(-)) -> (M, g), the harmonicity of 1-forms regarded as maps sigma : (M, g) -> (T * M,g) and the harmonicity of the identity maps I-1 : (T * M,g(-)) -> (T * M, (S) g) and I-2 : (T * M, (S) g) -> (T * M,g(-)), where (S)g is the Sasaki metric. Moreover, we consider the same problems on the unit cotangent bundle T (1) *M .UNIV NIS2025Articlehttps://rdlopen.rawdatalibrary.net/r/ebyu/16562https://doi.org/10.22190/fumi240326027a0352-9665enFACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICSinfo:eu-repo/semantics/openAccessinfo:eu-repo/semantics/articlehttps://ebyu-rdlopen.rawdatalibrary.net/tr/items/ebyu/16562