• Title/Summary/Keyword: Semi-tangent bundle

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COMPLETE LIFTS OF PROJECTABLE LINEAR CONNECTION TO SEMI-TANGENT BUNDLE

  • Polat, Murat;Yildirim, Furkan
    • Honam Mathematical Journal
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    • v.43 no.3
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    • pp.483-501
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    • 2021
  • We study the complete lifts of projectable linear connection for semi-tangent bundle. The aim of this study is to establish relations between these and complete lift already known. In addition, the relations between infinitesimal linear transformations and projectable linear connections are studied. We also have a new example for good square in this work.

COMPLETE LIFTS OF A SEMI-SYMMETRIC NON-METRIC CONNECTION FROM A RIEMANNIAN MANIFOLD TO ITS TANGENT BUNDLES

  • Uday Chand De ;Mohammad Nazrul Islam Khan
    • Communications of the Korean Mathematical Society
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    • v.38 no.4
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    • pp.1233-1247
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    • 2023
  • The aim of the present paper is to study complete lifts of a semi-symmetric non-metric connection from a Riemannian manifold to its tangent bundles. Some curvature properties of a Riemannian manifold to its tangent bundles with respect to such a connection have been investigated.