Canonical connection

In mathematics, a canonical connection of a holomorphic vector bundle with a Hermitian structure, is the unique metric connection D, such that the part which increases the anti-holomorphic type D`` annihilates holomorphic sections. In mathematics, a canonical connection of a holomorphic vector bundle with a Hermitian structure, is the unique metric connection D, such that the part which increases the anti-holomorphic type D`` annihilates holomorphic sections.