The Riemannian Metric in a Bundle of Contravariant Tensors of Type (2, 0) over a Riemannian Manifold
by
Gabil Dovlat oglu Fattayev
Baku State University

The Riemannian metrics of tangent and cotangent bundles of a Riemannian manifold were defined by S.Sasaki [1], I.Sato [2] and N.Bhatia, N.Prakash [3]. In the present work the Riemannian metric in a bundle of contravariant tensors of type (2, 0) over Riemannian manifold is defined and studied. Its contravariant components and Christoffel Symbols are calculated.

References. [1] S.Sasaki, On the differential geometry of tangent bundles of Riemannian manifolds, Tohoku math.Journ. 10, (1958), 338-354.

[2] I.Sato, Complete lifts from a manifold to its cotangent bundle, Kodai Math.Sem.Rep. 20, (1967), 458-468.

[3] Nirmala Bhatia and Nirmala Prakash, Almost complex and almost product structures in cotangent bundle, Tensor, N.S. Vol. 20, (1969), 315-319.

Date received: June 26, 2001

Copyright © 2001 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cagx-27.