AN APPLICATION OF COMPLEX LEGENDRE TRANSFORMATION TO V-COHOMOLOGY GROUPS
CRISTIAN IDA Department of Algebra, Geometry and Differential Equations, Transilvania University of Braşov, Braşov 500091, Str. Iuliu Maniu 50, România, email:cristian.ida@unitbv.ro
In this paper, using the Lagrangian-Hamiltonian formalism (L-dual proces) on the holomorphic tangent bundle of a complex Lagrange space (M, L), we obtain similar results as in [10] concerning to v-cohomology groups of a complex Hamilton space (M,H). Finally we study a relative vertical cohomology associated to complex Legendre transformation.