___

• Adams, J. F., Lectures on Lie Groups , (Benjamin Inc., New York, 1969).
• Boralevi, Ada., Sections of homogeneous vector bund les , Journal of Algebra 323, 2301-2317, (2010).
• Bott, Raoul., Homogeneous Vector Bund les , Annals of mathematics, Vol. 66, No. 2, (1957).
• Cordero, L. A., Dodson, C.T.J., De Leon, M., Diğerential Geometry of Frame Bundles, Kluwer Academic Press, (1989).
• Brockett, R.W., Sussmann, H. J., Tangent Bundles of Homogeneous Spaces are Homogeneous Spaces , Proceedings of the American Mathematical Society, 35, 550-551 (1972).
• Fisher, Robert and Laquer, H. Turner, Second order tangent vectors in Riemannian geometry. J. Korean Math. Soc.,36(5):959-1008, (1999).
• Gri¢ ths, Philip A., On the Diğ erential Geometry of Homogeneous Bundles , (1963).
• Haboush, W. J., Homogeneous Vector Bund les and Reductive Subgroups of Reductive Alge- braic Groups ,American Journal of Mathematics, Vol. 100, No. 6 , pp. 1123-1137 (1978).
• Kadioglu, H., Esin, E., On the Prolongations of Representations of Lie Groups , Hadronic J. ,183-196, (2010).
• Kadioglu, H., Esin, E.,Yaylı, Y. Prolongations of Lie Algebra Representations , Advances and Applications in Math. Sci. 10, no. 5, 533-542.(2011).
• Kobayashi, S. Homogeneous Vector Bundles and Stability , Nagoya Math. J. Vol. 101, 37- ,(1986).
• Kobayashi, S., Nomizu, K., Foundations of Diğ erential Geometry 1 , (Interscience Publishers, New York, 1963).
• Purohit, G. N., Vector Bund les and Induced Representations of Lie Groups , Ganita Sandesh, , 17-20(1988).
• Saunders D.J., The Geometry of Jet Bundles , (Cambridge University Press, Cambridge- New York, 1989).
• Yano, K, Ishihara, S., Tangent and Cotangent Bundles , (M. Dekker, New York, 1973).
• Current address : Hülya KADIO ¼GLU :Department of Mathematics Education, Yildiz Technical University Istanbul TURKEY E-mail address : hkadio@yildiz.edu.tr