An Etymological Dictionary of Astronomy and Astrophysics

A positive-definite inner product, (.,.)_x, on T_x(M), the tangent space to a manifold M at x, for each x  ∈ M, which varies continually with x

(Douglas N. Clark, Dictionary of Analysis, Calculus, and Differential Equations).

See also: → Riemannian; → metric.