Talk:Smooth Manifold admits Riemannian Metric

Meaning of "admits"
I agree that "admits" for a firstcomer sounds vague. At the same time there are plenty of source showing this exact formulation of the theorem. Improvement is needed, but I worry that this may require reading several proofs (which are not present in my books) and then finding the common denominator. Already my comment about sufficient structure provided by smooth manifolds was an observation of types of proofs, not a copy of any text.--Julius (talk) 23:35, 9 November 2022 (UTC)