# Hermitian metric

A hermitian metric on a complex vector bundle E over a smooth manifold M, is a positive-definite, hermitian inner product on each fiber Ep, that varies smoothly with the point p in M.

An important special case is that of a hermitian metric on the complexified tangent bundle [itex] TM \otimes \mathbb C [itex] of a complex manifold M. This is the hermitian analogue of a Riemannian metric. Every complex manifold admits such a hermitian metric.

• Art and Cultures
• Countries of the World (http://www.academickids.com/encyclopedia/index.php/Countries)
• Space and Astronomy