g-NATURAL METRICS ON THE COTANGENT BUNDLE

References (19)

1. Abbassi M.T.K, Note on the classification theorems of g-natural metrics on the tangent bundle of a Riemannian manifold (M, g), Comment. Math.Univ. Carolin. 45 (4) (2004) 591596
2. Abbassi M.T.K., Sarih M. On natural metrics on tangent bundles of Riemannian manifolds. Arch. Math. (Brno), 41 (2005), no. 1, 71-92
3. Abbassi M.T.K., Sarih M. On some hereditary properties of Riemannian g-natural metrics on tangent bundles of Riemannian manifolds. Differential Geom. Appl., 22(2005), no. 1, 19-47
4. A˘gca F., Salimov A.A., Some notes concerning Cheeger-Gromoll metrics, Hacet. J. Math. Stat., (2012) (to appear)
5. Cheeger J., Gromoll D., On the structure of complete manifolds of nonnegative curvature, Ann. of Math., 96, 413-443, (1972)
6. Gudmundsson S., Kappos E., On the geometry of the tangent bundle with the Cheeger- Gromoll metric, Tokyo J. Math. 25, no.1, 75-83, (2002)
7. Gudmundsson S., Kappos E., On the geometry of the tangent bundles, Expo. Math.20, no.1, 1-41, (2002)
8. Kobayashi S., Nomizu K., Foundations of differential geometry, Vol. I, Interscience Publish- ers, New York-London, (1963)
9. Munteanu M. I., Cheeger Gromoll type metrics on the tangent bundle. Sci. Ann. Univ. Agric. Sci. Vet. Med., 49(2006), no.2, 257-268
10. Munteanu M. I., Some aspects on the geometry of the tangent bundles and tangent sphere bundles of a Riemannian manifold. Mediterr. J. Math., 5 (2008), 43-59
11. Musso F., Tricerri F., Riemannian metric on tangent bundles, Ann. Math. Pura. Appl., 150(4), 1-19, (1988)
12. Salimov A.A., Agca F., Some properties os Sasakian metrics in cotangent bundles, Mediterr. J. math., 8 (2011), 243-255
13. Salimov A.A., Agca F., On para- Nordenian structures, Ann. Pol. Math., 99(2010) no.2, 193-200
14. Salimov A.A., Akbulut K., A note on a paraholomorphic Cheeger-Gromoll metic. Proc. In- dian Acad. Sci. (Math. Sci) 119 (2009), no.2,187-195
15. Salimov A.A., Kazimova S., Geodesics of the Cheeger-Gromoll metric, Turk. J. Math., 32 (2008), 1-8
16. Sekizawa M., Curvatures of tangent bundles with Cheeger-Gromoll metric, Tokyo J. Math., 14, 407-417, (1991)
17. Sukhova O.V., Curvatures of the tangent bundle with a special almost product metric, Math. Notes., 89(2011) no.4, 568-571
18. Tamm I.E., Collection of scientific works ( Sobranie nauchnyh trudov (Russian)), II, Nauka, Moscow, (1975)
19. Yano K., Ishihara S., Tangent and cotangent bundles, Marcel Dekker Inc., N.Y., (1973).