Science Fair Project Encyclopedia
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 
of a complex manifold M. This is the hermitian analogue of a Riemannian metric. Every complex manifold admits such a hermitian metric.
See also: Kähler metric
10-26-2009 08:16:03
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The contents of this article is licensed from www.wikipedia.org under the GNU Free Documentation License. Click here to see the transparent copy and copyright details