Article
Geodesics on tangent bundles with Twisted Sasaki metric
Authors
Abstract
Let ($M^m$, $g$) be an m-dimensional Riemannian manifold and $TM$ be its tangent bundle. In this paper, we introduce a new class of natural metrics with respect to $g$ non-rigid on $TM$, called the twisted Sasaki metric. we investigate geodesics of the Twisted Sasaki gradient metric. Afterward establish a necessary and sufficient conditions under which a curve be a geodesic respect.
Keywords
Horizontal lift, vertical lift, Cheeger-Gromoll metric, Tangent bundle, geodesic
Citation
Latti, F. (2022). Geodesics on tangent bundles with twisted sasaki metric. Turkish Journal of Computer and Mathematics Education, 13(2), 666–670.
F. Latti, “Geodesics on tangent bundles with twisted sasaki metric,” Turkish Journal of Computer and Mathematics Education, vol. 13, no. 2, pp. 666–670, 2022.
Latti F. Geodesics on tangent bundles with twisted sasaki metric. Turkish Journal of Computer and Mathematics Education. 2022;13(2):666–670.
Latti, F. (2022), ‘Geodesics on tangent bundles with twisted sasaki metric’, Turkish Journal of Computer and Mathematics Education, 13(2), pp. 666–670.
Latti, Fethi. “Geodesics on Tangent Bundles with Twisted Sasaki Metric.” Turkish Journal of Computer and Mathematics Education, vol. 13, no. 2, 2022, pp. 666–670.
Latti, Fethi. “Geodesics on Tangent Bundles with Twisted Sasaki Metric.” Turkish Journal of Computer and Mathematics Education 13, no. 2 (2022): 666–670.
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Published by: Engineering Journals
