出版社:The Editorial Committee of the Interdisciplinary Information Sciences
摘要:We build a canonical family { Ds } of Hermitian connections in a Hermitian CR-holomorphic vector bundle ( E , h ) over a nondegenerate CR manifold M , parametrized by S ∈ Γ ∞( End ( E )), S skewsymmetric. Consequently, we prove an existence and uniqueness result for the solution to the inhomogeneous Yang-Mills equation dD* R D = f on M . As an application we solve for D ∈ D ( E , h ) when E is either the trivial line bundle, or a locally trivial CR-holomorphic vector bundle over a nondegenerate real hypersurface in a complex manifold, or a canonical bundle over a pseudo-Einstein CR manifold.