Welcome to our community

Be a part of something great, join today!

Regular m-surface

  • Thread starter
  • Banned
  • #1

Poirot

Banned
Feb 15, 2012
250
For c in IR, let $M_{c}=({x=(x_{1},x_{2},x_{3},x_{4}):|x|=1,x_{1}+x_{3}=c})$. Prove that $M_{c}$ is empty if |c|>square root of 2 and is a non- empty regular 2 surface if |c|< square root of 2. I'm guessing for the latter part I should use regular value theorem but I don't know where to start.
 
Last edited: