Talk:Riemannian geometry

I have altered the statement that Euclidean geometry is a subset of Riemannian geometry. The set of theorems of Riemannian geometry could be said to be a subset of the set of theorems of Euclidean geometry, if one were to construe the former to mean propositions true in all Riemannian manifolds. On the other hand, the class of spaces that satisfy the axioms of Riemannian geometry is a subclass of those that satisfy the axioms of Euclidean geometry. Not a set, but rather a proper class. Michael Hardy 19:57 Mar 12, 2003 (UTC)

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This page has problems, in relation to the Riemannian manifold coverage elsewhere. The initial posting seems to have been about the Riemannian geometry of constant negative curvature. I'm not quite sure now what the thrust is.

Charles Matthews 19:01 29 Jun 2003 (UTC)