On Lifts of Paracomplex Structures

In this paper, we obtain vertical, complete and horizontal lifts of paracomplex geometric structures on paracomplex manifolds to its tangent bundle. Also, we obtain integrability on paracomplex tangent bundle.

On Lifts of Paracomplex Structures

In this paper, we obtain vertical, complete and horizontal lifts of paracomplex geometric structures on paracomplex manifolds to its tangent bundle. Also, we obtain integrability on paracomplex tangent bundle.

___

  • Brickell, F., Clark, R.S.: Differentiable Manifolds, VRN Company, London, 1970
  • De Leon M., Rodrigues P.R.: Methods of Differential Geometry in Analytical Mechanics, North-Hol. Math. St.,152, Elsevier Sc. Pub. Com., Inc.,Amsterdam, 1989
  • Dodson, C.T.J., Poston, T.: Tensor Geometry, Pitman XIII., 598, London, 1979
  • Etoya, J.J.: On a Complete Lifting of Derivations, Tensor, Vol. 38, pp.169-178(1982)
  • Tekkoyun M., Civelek S¸.: First Order Lifts of Complex Structures, Algebras Groups and Geometries (AGG), Vol.19, No.3, pp.373-382(2002)
  • Tekkoyun M., Civelek S¸.: On Lifts of Structures on Complex Manifolds, Differential Geometry-Dynamics Systems Vol.5, No.1, pp.59-64(2003)
  • Tekkoyun M.: On Horizontal Lifts of Complex Structures, Hadronic Journal Supplement (HJS), Vol.18, No:4, pp. 411-424(2003)
  • Cruceanu V., Gadea, P.M., Masqu´e, J.M.: Para-Hermitian and Para- K¨ahler Manifolds, Supported by the commission of the European Communities Action for Cooperation in Sciences and Technology with Central Eastern European Countries n. ERB3510PL920841
  • Yano, K., Kon, M.: Structures on Manifolds, Volume 3, Singapore, 1984
  • Yano, K., Patterson, Y.: Horizontal Lifts of a Manifold to its Cotangent Bundle, Jour. Math. Soc. Japan., Vol. 19, pp.185-198(1967)
  • Yano, K., Ishihara, S.: Tangent and Cotangent Bundles, Marcel Dekker Inc., New York, Mehmet TEKKOYUN Department of Mathematics, Faculty of Science and Art, Pamukkale University, Denizli-TURKEY e-mail: tekkoyun@pamukkale.edu.tr