Om. Khudaverdian et Ap. Nersessian, EVEN AND ODD SYMPLECTIC AND KAHLERIAN STRUCTURES ON PROJECTIVE SUPERSPACES, Journal of mathematical physics, 34(12), 1993, pp. 5533-5548
Supergeneralization of CP(N) provided with even and odd Kahlerian stru
ctures from Hamiltonian reduction are constructed. Operator DELTA, whi
ch is used in Batalin-Vilkovisky quantization formalism and mechanics,
which are bi-Hamiltonian under corresponding even and odd Poisson bra
ckets, are considered.