Some Calculations on Kaluza-Klein Metric with Respect to Lifts in Tangent Bundle
Boletim da Sociedade Paranaense de Matematica, cilt.41, 2023 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 41
- Basım Tarihi: 2023
- Doi Numarası: 10.5269/bspm.52990
- Dergi Adı: Boletim da Sociedade Paranaense de Matematica
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, zbMATH, Directory of Open Access Journals
- Anahtar Kelimeler: Kaluza-Klein metric, horizontal lift, vertical lift, tangent bundle, GEOMETRY
- Karadeniz Teknik Üniversitesi Adresli: Hayır
Özet
© 2023 Boletim da Sociedade Paranaense de Matematica. All rights reserved.In the present paper, a Riemannian metric on the tangent bundle, which is another generalization of Cheeger-Gromoll metric and Sasaki metric, is considered. This metric is known as Kaluza-Klein metric in literature which is completely determined by its action on vector fields of type XH and Y V . We obtain the covarient and Lie derivatives applied to the Kaluza-Klein metric with respect to the horizontal and vertical lifts of vector fields, respectively on tangent bundle TM.