STATISTICAL STRUCTURES AND KILLING VECTOR FIELDS ON TANGENT BUNDLES WITH RESPECT TO TWO DIFFERENT METRICS
Yıl: 2023 Cilt: 72 Sayı: 3 Sayfa Aralığı: 815 - 825 Metin Dili: İngilizce DOI: 10.31801/cfsuasmas.1160135 İndeks Tarihi: 06-10-2023
STATISTICAL STRUCTURES AND KILLING VECTOR FIELDS ON TANGENT BUNDLES WITH RESPECT TO TWO DIFFERENT METRICS
Öz: Let $(M,g)$ be a Riemannian manifold and $TM$ be its tangent bundle. The purpose of this paper is to study statistical structures on $TM$ with respect to the metrics $G_{1}=^{c}g+^{v}(fg)$ and $G_{2}=^{s}g_{f}+^{h}g, $ where $f$ is a smooth function on $M,$ $^{c}g$ is the complete lift of $g$, $^{v}(fg)$ is the vertical lift of $fg$, $^{s}g_{f}$ is a metric obtained by rescaling the Sasaki metric by a smooth function $f$ and $^{h}g$ is the horizontal lift of $g.$ Moreover, we give some results about Killing vector fields on $TM$ with respect to these metrics.
Anahtar Kelime: Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
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| APA | Altunbaş M (2023). STATISTICAL STRUCTURES AND KILLING VECTOR FIELDS ON TANGENT BUNDLES WITH RESPECT TO TWO DIFFERENT METRICS. , 815 - 825. 10.31801/cfsuasmas.1160135 |
| Chicago | Altunbaş Murat STATISTICAL STRUCTURES AND KILLING VECTOR FIELDS ON TANGENT BUNDLES WITH RESPECT TO TWO DIFFERENT METRICS. (2023): 815 - 825. 10.31801/cfsuasmas.1160135 |
| MLA | Altunbaş Murat STATISTICAL STRUCTURES AND KILLING VECTOR FIELDS ON TANGENT BUNDLES WITH RESPECT TO TWO DIFFERENT METRICS. , 2023, ss.815 - 825. 10.31801/cfsuasmas.1160135 |
| AMA | Altunbaş M STATISTICAL STRUCTURES AND KILLING VECTOR FIELDS ON TANGENT BUNDLES WITH RESPECT TO TWO DIFFERENT METRICS. . 2023; 815 - 825. 10.31801/cfsuasmas.1160135 |
| Vancouver | Altunbaş M STATISTICAL STRUCTURES AND KILLING VECTOR FIELDS ON TANGENT BUNDLES WITH RESPECT TO TWO DIFFERENT METRICS. . 2023; 815 - 825. 10.31801/cfsuasmas.1160135 |
| IEEE | Altunbaş M "STATISTICAL STRUCTURES AND KILLING VECTOR FIELDS ON TANGENT BUNDLES WITH RESPECT TO TWO DIFFERENT METRICS." , ss.815 - 825, 2023. 10.31801/cfsuasmas.1160135 |
| ISNAD | Altunbaş, Murat. "STATISTICAL STRUCTURES AND KILLING VECTOR FIELDS ON TANGENT BUNDLES WITH RESPECT TO TWO DIFFERENT METRICS". (2023), 815-825. https://doi.org/10.31801/cfsuasmas.1160135 |
| APA | Altunbaş M (2023). STATISTICAL STRUCTURES AND KILLING VECTOR FIELDS ON TANGENT BUNDLES WITH RESPECT TO TWO DIFFERENT METRICS. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, 72(3), 815 - 825. 10.31801/cfsuasmas.1160135 |
| Chicago | Altunbaş Murat STATISTICAL STRUCTURES AND KILLING VECTOR FIELDS ON TANGENT BUNDLES WITH RESPECT TO TWO DIFFERENT METRICS. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics 72, no.3 (2023): 815 - 825. 10.31801/cfsuasmas.1160135 |
| MLA | Altunbaş Murat STATISTICAL STRUCTURES AND KILLING VECTOR FIELDS ON TANGENT BUNDLES WITH RESPECT TO TWO DIFFERENT METRICS. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, vol.72, no.3, 2023, ss.815 - 825. 10.31801/cfsuasmas.1160135 |
| AMA | Altunbaş M STATISTICAL STRUCTURES AND KILLING VECTOR FIELDS ON TANGENT BUNDLES WITH RESPECT TO TWO DIFFERENT METRICS. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics. 2023; 72(3): 815 - 825. 10.31801/cfsuasmas.1160135 |
| Vancouver | Altunbaş M STATISTICAL STRUCTURES AND KILLING VECTOR FIELDS ON TANGENT BUNDLES WITH RESPECT TO TWO DIFFERENT METRICS. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics. 2023; 72(3): 815 - 825. 10.31801/cfsuasmas.1160135 |
| IEEE | Altunbaş M "STATISTICAL STRUCTURES AND KILLING VECTOR FIELDS ON TANGENT BUNDLES WITH RESPECT TO TWO DIFFERENT METRICS." Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, 72, ss.815 - 825, 2023. 10.31801/cfsuasmas.1160135 |
| ISNAD | Altunbaş, Murat. "STATISTICAL STRUCTURES AND KILLING VECTOR FIELDS ON TANGENT BUNDLES WITH RESPECT TO TWO DIFFERENT METRICS". Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics 72/3 (2023), 815-825. https://doi.org/10.31801/cfsuasmas.1160135 |
