Even and odd symplectic and Kählerian structures on projective superspaces.

Supergeneralization of CP(N) provided with even and odd Kählerian structures from Hamiltonian reduction are constructed. Operator Δ, which is used in Batalin–Vilkovisky quantization formalism and mechanics, which are bi-Hamiltonian under corresponding even and odd Poisson brackets, are considered. [ABSTRACT FROM AUTHOR]