Apr 9, 2021 · A comment (but not answer) to this question: I believe the proof follows if the following theorem is true. If the contraction of some quantity is tensorial in nature, then that …

I would like to see more examples such that this criterion applies but the quotient manifold theorem doesn't. $\endgroup$ – Q-Zh Commented Sep 6, 2016 at 1:45

Apr 16, 2013 · Quotient theorem for tensors. Ask Question Asked 11 years, 10 months ago. Modified 11 years, 9 months ago. ...

Aug 21, 2018 · Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for …

Sep 16, 2016 · I am trying to prove the quotient-remainder theorem by mathematical induction: Quotient-Remainder Theorem: $\forall a,b \in \mathbb{Z}, b> 0: \ \exists! q, \ r \in \mathbb{Z}, \ …

Jun 15, 2019 · I read the proof of the quotient manifold theorem in Lee - Introduction to smooth manifolds (Theorem 21.10). What I need is covered in the econd to last paragr

Proof of the Quotient-Remainder Theorem-1. Use the least integer principle to prove the following. 30.

This criterion looks very powerful since it gives an iff condition. On the other hand, it also works for non-archimedean local fields. In the usual textbook on manifolds, there is a quotient theorem …

Quotient-Remainder Theorem Proving [closed] Ask Question Asked 10 years, 10 months ago. Modified 10 years ...

Nov 23, 2020 · Hence it is not too surprising that these can be made into charts of a quotient space, and that the quotient is manifold. The dimension of this quotient manifold is thus $\dim …