Recent content by Amateur659

  1. A

    Undergrad Constructing an Oriented Atlas for S1 (Self Study)

    Hello, I am trying to construct an oriented atlas for S1 by considering the 8 transitions from the basic coordinate projection atlas. However, it does not appear to be possible to modify this atlas without destroying existing progress. Am I on the right track towards constructing the oriented...
  2. A

    Undergrad Question regarding actual computation of tensor at point (Self Study)

    Awesome, thanks for the feedback.
  3. A

    Undergrad Question regarding actual computation of tensor at point (Self Study)

    Hello all, I am hoping to get some feedback on the manner in which I performed computations towards solving the following problem. There are a couple specific points which I am not confident of: 1. Did I properly account for the manifold structure in my computation of the nonzero components...
  4. A

    What motivated a switch from physics to economics for this new member?

    Hello all, I'm a new member. I'm wrapping up my undergraduate degrees in mathematics and economics at a small and unremarkable state university. Early in college I was majoring in physics rather than economics, but I hated labs and was fairly lazy so I switched. I'm now trying to make up for...
  5. A

    Undergrad Tangent Bundle of Product is diffeomorphic to Product of Tangent Bundles

    My apologies if this question is trivial. I have searched the forum and haven't found an existing answer to this question. I've been working through differential geometry problem sets I found online (associated with MATH 481 at UIUC) and am struggling to show that T(MxN) is diffeomorphic to TM...