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Rigidity of noncompact complete Bach-flat manifolds
Bach-flat manifolds zero scalar curvature
2010/3/19
Let $(M,g)$ be a noncompact complete Bach-flat manifold with positive Yamabe constant. We prove that $(M,g)$ is flat if $(M, g)$ has zero scalar curvature and sufficiently small $L_{2}$ bound of curva...
Covariant star product on symplectic and Poisson spacetime manifolds
covariant Poisson bracket symplectic manifold deformation quantization
2010/3/18
A covariant Poisson bracket and an associated covariant star product in the sense of deformation quantization are defined on the algebra of tensor-valued differential forms on a symplectic manifold, a...