Araştırma Makalesi
Yıl 2019,
Cilt: 68 Sayı: 1, 751 - 761, 01.02.2019
Öz
In this paper, we define a Sasakian metric ^{S}g on cotangent bundle T^{∗}Mⁿ, which is completely determined by its action on complete lifts of vector fields. Later, we obtain the covariant and Lie derivatives applied to Sasakian metrics with respect to the complete and vertical lifts of vector and kovector fields, respectively
Anahtar Kelimeler
Covarient derivative Lie derivative Sasakian metric vertical lift complete lift horizontal lift
Kaynakça
- Akyol, M.A., Gündüzalp, Y., Semi-Slant Submersions from Almost Product Riemannian Manifolds, Gulf Journal of Mathematics, 4(3), (2016), 15-27.
- Akyol, M.A., Gündüzalp, Y., Semi-Invariant Semi-Riemannian Submersions, Commun. Fac. Sci. Univ. Ank. Series A1, Volume 67, Number 1, (2018), 80-92.
- Cengiz, N., Salimov, A.A., Diagonal Lift in the Tensor Bundle and its Applications, Applied Mathematics and Computation, 142, (2003), 309-319.
- Çayır, H., Lie derivatives of almost contact structure and almost paracontact structure with respect to X^{V} and X^{H} on tangent bundle T(M), Proceedings of the Institute of Mathematics and Mechanics, 42(1), (2016), 38-49.
- Çayır, H., Tachibana and Vishnevskii Operators Applied to X^{V} and X^{C} in Almost Paracontact Structure on Tangent Bundle T(M), Ordu Üniversitesi Bilim ve Teknoloji Dergisi, 6(1), (2016), 67-82.
- Çayır, H., Tachibana and Vishnevskii Operators Applied to X^{V} and X^{H} in Almost Paracontact Structure on Tangent Bundle T(M), New Trends in Mathematical Sciences, 4(3), (2016), 105-115.
- Çayır, H., Köseoğlu, G., Lie Derivatives of Almost Contact Structure and Almost Paracontact Structure With Respect to X^{C} and X^{V} on Tangent Bundle T(M). New Trends in Mathematical Sciences, 4(1), (2016), 153-159.
- Gudmundsson, S., Kappos, E., On the Geometry of the Tangent Bundles, Expo. Math., 20, (2002), 1-41.
- Musso, E., Tricerri, F., Riemannian Metric on Tangent Bundles, Ann. Math. Pura. Appl., 150(4), (1988), 1-9.
- Ocak, F., Salimov, A.A., Geometry of the cotangent bundle with Sasakian metricsand its applications, Proc. Indian Acad. Sci. (Math. Sci.), 124(3), (2014), 427--436.
- Salimov, A.A., Tensor Operators and Their applications, Nova Science Publ., New York 2013.
- Salimov, A.A., Cengiz, N., Lifting of Riemannian Metrics to Tensor Bundles, Russian Math. (IZ. VUZ.) 47 (11), (2003), 47-55.
- Salimov, A.A., Filiz, A., Some Properties of Sasakian Metrics in Cotangent Bundles, Mediterr. J. Math. 8, (2011) 243-255.
- Sasaki, S., On The Differantial Geometry of Tangent Boundles of Riemannian Manifolds, Tohoku Math. J., 10, (1958), 338-358.
- Soylu, Y., A Myers-type compactness theorem by the use of Bakry-Emery Ricci tensor, Differ. Geom. Appl., 54, (2017), 245--250.
- Soylu, Y., A compactness theorem in Riemannian manifolds, J. Geom., 109:20,(2018).
- Yano, K., Ishihara, S., Tangent and Cotangent Bundles, Marcel Dekker Inc, New York 1973.
Yıl 2019,
Cilt: 68 Sayı: 1, 751 - 761, 01.02.2019
Öz
Kaynakça
- Akyol, M.A., Gündüzalp, Y., Semi-Slant Submersions from Almost Product Riemannian Manifolds, Gulf Journal of Mathematics, 4(3), (2016), 15-27.
- Akyol, M.A., Gündüzalp, Y., Semi-Invariant Semi-Riemannian Submersions, Commun. Fac. Sci. Univ. Ank. Series A1, Volume 67, Number 1, (2018), 80-92.
- Cengiz, N., Salimov, A.A., Diagonal Lift in the Tensor Bundle and its Applications, Applied Mathematics and Computation, 142, (2003), 309-319.
- Çayır, H., Lie derivatives of almost contact structure and almost paracontact structure with respect to X^{V} and X^{H} on tangent bundle T(M), Proceedings of the Institute of Mathematics and Mechanics, 42(1), (2016), 38-49.
- Çayır, H., Tachibana and Vishnevskii Operators Applied to X^{V} and X^{C} in Almost Paracontact Structure on Tangent Bundle T(M), Ordu Üniversitesi Bilim ve Teknoloji Dergisi, 6(1), (2016), 67-82.
- Çayır, H., Tachibana and Vishnevskii Operators Applied to X^{V} and X^{H} in Almost Paracontact Structure on Tangent Bundle T(M), New Trends in Mathematical Sciences, 4(3), (2016), 105-115.
- Çayır, H., Köseoğlu, G., Lie Derivatives of Almost Contact Structure and Almost Paracontact Structure With Respect to X^{C} and X^{V} on Tangent Bundle T(M). New Trends in Mathematical Sciences, 4(1), (2016), 153-159.
- Gudmundsson, S., Kappos, E., On the Geometry of the Tangent Bundles, Expo. Math., 20, (2002), 1-41.
- Musso, E., Tricerri, F., Riemannian Metric on Tangent Bundles, Ann. Math. Pura. Appl., 150(4), (1988), 1-9.
- Ocak, F., Salimov, A.A., Geometry of the cotangent bundle with Sasakian metricsand its applications, Proc. Indian Acad. Sci. (Math. Sci.), 124(3), (2014), 427--436.
- Salimov, A.A., Tensor Operators and Their applications, Nova Science Publ., New York 2013.
- Salimov, A.A., Cengiz, N., Lifting of Riemannian Metrics to Tensor Bundles, Russian Math. (IZ. VUZ.) 47 (11), (2003), 47-55.
- Salimov, A.A., Filiz, A., Some Properties of Sasakian Metrics in Cotangent Bundles, Mediterr. J. Math. 8, (2011) 243-255.
- Sasaki, S., On The Differantial Geometry of Tangent Boundles of Riemannian Manifolds, Tohoku Math. J., 10, (1958), 338-358.
- Soylu, Y., A Myers-type compactness theorem by the use of Bakry-Emery Ricci tensor, Differ. Geom. Appl., 54, (2017), 245--250.
- Soylu, Y., A compactness theorem in Riemannian manifolds, J. Geom., 109:20,(2018).
- Yano, K., Ishihara, S., Tangent and Cotangent Bundles, Marcel Dekker Inc, New York 1973.
Toplam 17 adet kaynakça vardır.
Ayrıntılar
| Birincil Dil | İngilizce |
|---|---|
| Bölüm | Makaleler |
| Yazarlar | |
| Yayımlanma Tarihi | 1 Şubat 2019 |
| Gönderilme Tarihi | 7 Mart 2018 |
| Kabul Tarihi | 11 Nisan 2018 |
| Yayımlandığı Sayı | Yıl 2019 Cilt: 68 Sayı: 1 |
Kaynak Göster
Cited By
Geodesics and Torsion Tensor according to g-lift of Riemannian Connection on Cotangent Bundle
Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi
https://doi.org/10.21597/jist.622820
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.
