Part of the Universitext book series (UTX)
A Riemannian metric on a manifold M is a family of scalar products defined on each tangent space TmM and depending smoothly on m:
2.1 Definition : A Riemannian metric on M is a smooth and positive definite section g of the bundle S2T*M of the symmetric bilinear 2-forms on M.
KeywordsManifold Covariance Hexagonal Nash Lasso
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© Springer-Verlag Berlin Heidelberg 1987