Kartik Prabhu
yes, https://en.wikipedia.org/wiki/Homogeneous_space#Homogeneous_spaces_as_coset_spaces even though I don’t know what you mean by “isometry”.
Kartik Prabhu
OK everyone, back to work. Quantum Gravity is not going to figure itself out!
Kartik Prabhu
In which signature is the “conservation of convention law” stated?
Kartik Prabhu
‘I know, I’ll use Latex macros’ Now you have two problems (also see https://xkcd.com/208/ and https://xkcd.com/927/)
Kartik Prabhu
hopefully you are using the maths convention — phi_^* for pullback since it is a “dual map”
Kartik Prabhu
there are worse convention-violations in GR; signature, Riemann tensor, extrinsic curvature… comparatively this is not a big deal!
Kartik Prabhu
because it is consistent with the index positions for objects being pulled-back, forms, vs objects being pushed-forward, vectors.
Kartik Prabhu
lot of awesome number theory here — primes, factorisation, Gaussian primes, character functions — pretty neat!
Kartik Prabhu
I never realised that you can get all Pythagorean triples from complex numbers!
Kartik Prabhu
nice demonstration of equilibrium and stability.