sigma07-119. 227KB Jun 04 2011 12:10:10 AM
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The second heavenly equation of Plebanski which determines Riemannian metrics with (anti)- self-dual curvature 2-form implying Ricci-flatness admits bi-Hamiltonian structure.
This paper presents an explicit form of the action of the intertwining operator on polynomials by use of harmonic and Jacobi polynomials.. It is the symmetry group of the regular 2
Thus, we extended the Lie derivative approach to the study of Hamiltonian operators com- patible with a given Hamiltonian operator P from finite-dimensional Poisson structures [26,
When the higher dimensional conformal tensor vanishes because the space is conformallly flat, the lower-dimensional Kaluza–Klein func- tions satisfy equations that coincide with
We review previous work of Alain Connes, and its extension by the author, on some conformal invariants obtained from the noncommutative residue on even dimensional compact
We use a connection between relativistic hydrodynamics and scalar field theo- ry to generate exact analytic solutions describing non-stationary inhomogeneous flows of the perfect
The derivation deduces Branson’s formula from knowledge of the correspon- ding conformally invariant operator on Euclidean space (the k -th power of the Euclidean Laplacian)
We briefly review the concepts of generalized zero curvature conditions and inte- grability in higher dimensions, where integrability in this context is related to the existence
