A Remarkable Transformation Group on Cotangent Bundle

Abstract

The present paper deals with the almost symplectic structure on T ∗M . The set of all almost symplectic d-linear connections are determined for the case when the nonlinear connection is arbitrary and its structure is discussed. The important invariants are determined for the transformation group of almost symplectic d-linear connections corresponding to the same nonlinear connection N. The problem of integrability of the almost symplectic structure on T ∗M is solved by means of these invariants, obtaining two single integrability typs I,II and one combined type εI + II, where ε 6= 0 is real number. Mathematics Subject Classification: 53C05

Cite this paper

@inproceedings{Purcaru2003ART, title={A Remarkable Transformation Group on Cotangent Bundle}, author={Monica A P Purcaru and G. Tsagas}, year={2003} }