PAllen's latest activity

The sectional curvature as described can be directly related to the Riemann tensor as written in terms of the metric. BUT, for...

Note, there are other ways to define intrinsic curvature constants. For example, consider the area of a small circle on the surface of a...

I would think of that more like the case of lightlike coordinates. That a time coordinate is the same along a null path in some...

Ok, yes, I don't see a reason you couldn't apply the definition in a Riemannian manifold - books just assume a timelike curve. For the...

Yes, not the best choice of words.

I've generally seen FW transport only defined along timelike curves, so that definition would simply not apply to Riemannian manifolds...

I disagree. The definition of a geodesics as a curve that parallel transports its tangent vector makes no sense without parallel...

I would say no change to the status of any inflation aimed at ‘explaining’ the standard model initial state, since the conclusion is to...

Proposition: the square root of a positive integer is either an integer or irrational (it cannot be a proper rational). Proof (by...

A little off topic, but since I alluded to Faraday's long apprenticeship with Sir Humphrey Davy that acted as bridge from self teaching...

Wrong. He did a long apprenticeship with Sir Humphrey Davy (president of the Royal Society, world famous chemist) before his work on EM...

The problem is (mostly?) fixed now. Just tested it.