SOME NOTES ON THE MODIFIED RIEMANNIAN EXTENSION g ̃_(∇,c) ON COTANGENT BUNDLE
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Published:2020-12-30
Issue:4
Volume:20
Page:931-940
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ISSN:2068-3049
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Container-title:Journal of Science and Arts
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language:en
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Short-container-title:J. Sci. Arts
Affiliation:
1. Giresun University, Faculty of Arts and Sciences, Department of Mathematics, 28200 Giresun, Turkey
Abstract
In this paper, we define the modified Riemannian extension g ̃_(∇,c) in the cotangent bundle T^* M, which is completely determined by its action on complete lifts of vector fields. Later, we obtain the covarient and Lie derivatives applied to the modified Riemannian extension with respect to the complete and vertical lifts of vector and kovector fields, respectively.
Publisher
Valahia University of Targoviste - Journal of Science and Arts
Reference25 articles.
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