Let $M$ be a 2-dimensional closed Riemmanian manifold diffeomorphic to $S^2$.
S.B.Myers says "the cut-locus of every point $x\in M$ is a finite tree."
let M be a 2-dimensional closed Rimmanian manifold diffeomorphic to S^2. S.B.Myers says "the cut-locus of every point x on is a finite tree." 1-How the set of point can be a tree ?what are the edgs
- How the set of point can be a tree? What are the edges?
- Is $p$ an element of $\operatorname{cut-locus}(p)$?
2-Is p a element of cut locus(p)? II can not find any paper of Myers in this case. thanksThanks!
