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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2013 / Cilt: 42 - Sayı: 5

SOME NOTES CONCERNING CHEEGER-GROMOLL METRICS

A A SALİMOV
Filiz AGCA
Sayfa
533–549
Yayın Tarihi
2022-10-18
DOI
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The purpose of this paper is to introduce Cheeger-Gromoll type metricon the cotangent bundle of Riemannian manifold and investigate curvature properties and geodesics on the cotangent bundle with respectto the Cheeger-Gromoll metric.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:The purpose of this paper is to introduce Cheeger-Gromoll type metricon the cotangent bundle of Riemannian manifold and investigate curvature properties and geodesics on the cotangent bundle with respectto the Cheeger-Gromoll metric.
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Temel Bulgular & Veri:The purpose of this paper is to introduce Cheeger-Gromoll type metricon the cotangent bundle of Riemannian manifold and investigate curvature properties and geodesics on the cotangent bundle with respectto the Cheeger-Gromoll metric.
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Sonuç & Katkı:The purpose of this paper is to introduce Cheeger-Gromoll type metricon the cotangent bundle of Riemannian manifold and investigate curvature properties and geodesics on the cotangent bundle with respectto the Cheeger-Gromoll metric.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Cheeger-Gromoll metric · cotangent bundle · vertical and horizontal lift

Abstract

The purpose of this paper is to introduce Cheeger-Gromoll type metricon the cotangent bundle of Riemannian manifold and investigate curvature properties and geodesics on the cotangent bundle with respectto the Cheeger-Gromoll metric.

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Bu Makaleye Atıf Yap

SALİMOV, A. A., AGCA, F. (2022). SOME NOTES CONCERNING CHEEGER-GROMOLL METRICS. Hacettepe Journal of Mathematics and Statistics, Cilt: 42 - Sayı: 5, 533–549. https://ajindex.com/articles/530442

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Kaynakça (9)

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  8. Salimov A.A., Kazimova S. Geodesics of the Cheeger-Gromoll metric, Turk. J. Math. 32 1-8, 2008. Sekizawa M. Curvatures of tangent bundles with Cheeger-Gromoll metric, Tokyo J. Math. 14, 407-417, 1991. Tamm I.E. Collection of scientific works, Sobranie nauchnyh trudov (Russian), II, Nauka, Moscow, 1975.
  9. Yano K., Ishihara S. Tangent and cotangent bundles, Marcel Dekker Inc., N.Y., 1973.