General investigations of curved surfaces of 1827 and 1825;

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They have always been at the core of interest in topology. Thus ancient geometry gained an association with the sublime to complement its earthy origins and its reputation as the exemplar of precise reasoning. In the case of the polar coordinate as shown occur at a constant coordinate of concentric circles with a radius about the origin of the Euclidian coordinate system. In higher dimensions, the Riemann curvature tensor is an important pointwise invariant associated to a Riemannian manifold that measures how close it is to being flat.

Pages: 140

Publisher: University of Michigan Library (January 1, 1902)

ISBN: 1418163872

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