Geodesics and isocline distributions in tangent bundles of nonflat Lorentzian-Heisenberg spaces

Altunbaş, Murat

doi:10.55730/1300-0098.3356

Geodesics and isocline distributions in tangent bundles of nonflat Lorentzian-Heisenberg spaces

Murat ALTUNBAŞ (Binali Yıldırım Üniversitesi, Erzincan Fen Edebiyat Fakültesi Matematik Bölümü, Erzincan, Türkiye)

Turkish Journal of Mathematics

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Yıl: 2023 Cilt: 47 Sayı: 1 Sayfa Aralığı: 234 - 247 Metin Dili: İngilizce DOI: 10.55730/1300-0098.3356 İndeks Tarihi: 14-03-2024

Geodesics and isocline distributions in tangent bundles of nonflat Lorentzian-Heisenberg spaces

Öz:

Let (H3, g1) and (H3, g2) be the Lorentzian-Heisenberg spaces with nonflat metrics g1 and g2, and (T H3, gs 1), (T H3, gs 2) be their tangent bundles with the Sasaki metric, respectively. In the present paper, we find nontotally geodesic distributions in tangent bundles by using lifts of contact forms from the base manifold H3.We give examples for totally geodesic but not isocline distributions. We study the geodesics of tangent bundles by considering horizontal and natural lifts of geodesics of the base manifold H3 . We also investigate more general classes of geodesics which are not obtained from horizontal and natural lifts of geodesics.

Anahtar Kelime: Geodesic Lorentzian-Heisenberg space tangent bundle

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık

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APA	Altunbaş M (2023). Geodesics and isocline distributions in tangent bundles of nonflat Lorentzian-Heisenberg spaces. , 234 - 247. 10.55730/1300-0098.3356
Chicago	Altunbaş Murat Geodesics and isocline distributions in tangent bundles of nonflat Lorentzian-Heisenberg spaces. (2023): 234 - 247. 10.55730/1300-0098.3356
MLA	Altunbaş Murat Geodesics and isocline distributions in tangent bundles of nonflat Lorentzian-Heisenberg spaces. , 2023, ss.234 - 247. 10.55730/1300-0098.3356
AMA	Altunbaş M Geodesics and isocline distributions in tangent bundles of nonflat Lorentzian-Heisenberg spaces. . 2023; 234 - 247. 10.55730/1300-0098.3356
Vancouver	Altunbaş M Geodesics and isocline distributions in tangent bundles of nonflat Lorentzian-Heisenberg spaces. . 2023; 234 - 247. 10.55730/1300-0098.3356
IEEE	Altunbaş M "Geodesics and isocline distributions in tangent bundles of nonflat Lorentzian-Heisenberg spaces." , ss.234 - 247, 2023. 10.55730/1300-0098.3356
ISNAD	Altunbaş, Murat. "Geodesics and isocline distributions in tangent bundles of nonflat Lorentzian-Heisenberg spaces". (2023), 234-247. https://doi.org/10.55730/1300-0098.3356

APA	Altunbaş M (2023). Geodesics and isocline distributions in tangent bundles of nonflat Lorentzian-Heisenberg spaces. Turkish Journal of Mathematics, 47(1), 234 - 247. 10.55730/1300-0098.3356
Chicago	Altunbaş Murat Geodesics and isocline distributions in tangent bundles of nonflat Lorentzian-Heisenberg spaces. Turkish Journal of Mathematics 47, no.1 (2023): 234 - 247. 10.55730/1300-0098.3356
MLA	Altunbaş Murat Geodesics and isocline distributions in tangent bundles of nonflat Lorentzian-Heisenberg spaces. Turkish Journal of Mathematics, vol.47, no.1, 2023, ss.234 - 247. 10.55730/1300-0098.3356
AMA	Altunbaş M Geodesics and isocline distributions in tangent bundles of nonflat Lorentzian-Heisenberg spaces. Turkish Journal of Mathematics. 2023; 47(1): 234 - 247. 10.55730/1300-0098.3356
Vancouver	Altunbaş M Geodesics and isocline distributions in tangent bundles of nonflat Lorentzian-Heisenberg spaces. Turkish Journal of Mathematics. 2023; 47(1): 234 - 247. 10.55730/1300-0098.3356
IEEE	Altunbaş M "Geodesics and isocline distributions in tangent bundles of nonflat Lorentzian-Heisenberg spaces." Turkish Journal of Mathematics, 47, ss.234 - 247, 2023. 10.55730/1300-0098.3356
ISNAD	Altunbaş, Murat. "Geodesics and isocline distributions in tangent bundles of nonflat Lorentzian-Heisenberg spaces". Turkish Journal of Mathematics 47/1 (2023), 234-247. https://doi.org/10.55730/1300-0098.3356