Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Question about Finsler geometry

  1. Jun 5, 2014 #1
    Please read the attached file to answer my question. Thanks a lot.
     

    Attached Files:

  2. jcsd
  3. Jun 10, 2014 #2

    strangerep

    User Avatar
    Science Advisor

    You should read the PF instructions on how to type mathematics.

    As to your question, you mention ##\beta## in case (1), but it's not part of ##F##. (Maybe you intended a Randers metric but omitted the ##\beta## part?)

    In any case, since your 2nd ##\phi(s)=1+rs## is a 1st-order expansion of ##s^r## around ##s=1##, the answer seems obvious. (Or were you thinking about something more sophisticated involving topologies on a continuum of metrics...??)
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Question about Finsler geometry
  1. Geometry Question (Replies: 1)

  2. Geometry Question (Replies: 6)

  3. Finsler geometry (Replies: 2)

  4. Inverse Finsler metric (Replies: 0)

Loading...