On the Inhomogeneous Yang-Mills Equation dD*RD=f

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概要

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• 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.

• 東北大学の論文

著者

• DRAGOMIR Sorin

  Universita degli Studi della Basilicata Dipartimento di Matematica Contrada Macchia Romana

• Urakawa Hajime

  Tohoku University Mathematics Laboratories Graduate School Of Information Sciences

• Dragomir Sorin

  Università Degli Studi Della Basilicata Dipartimento Di Matematica E Informatica

• Dragomir Sorin

  Universita Degli Studi Della Basilicata Dipartimento Di Matematica Italia

関連論文

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• Minimality in CR geometry and the CR Yamabe problem on CR manifolds with boundary
• Discrete Heat Equation Morphisms
• CR PRODUCTS IN LOCALLY CONFORMAL KAHLER MANIFOLDS

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