An Induced Isometry on a Total Space of a Vector Bundle

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International Conference on Mathematics: An Istanbul Meeting for World Mathematicians, İstanbul, Turkey, 03 July 2018, pp.91-94

  • Publication Type: Conference Paper / Full Text
  • City: İstanbul
  • Country: Turkey
  • Page Numbers: pp.91-94
  • Yıldız Technical University Affiliated: Yes


Let E be a vector bundle on M. There exists a specific Riemannian metric on E
which is induced from a given Riemannian metric g on M. In this study, we use this special
metric and define an isometry on the total space of the vector bundle E. We find these
structures on the tangent bundle of a circle.