1
$\begingroup$

I am trying to understand the notion of quasi-geodesic in Alexandrov space with curvature bounded below following the Perelman-Petrunin paper. I have two questions:

  1. Is it true that the shortest geodesic is a quasi-geodesic?
  2. Given a continuous path which is a union of two shortest geodesics with a common end. Under what conditions it is a quasi-geodesic?
Improve this question
$\endgroup$

0

Reset to default

You must log in to answer this question.

Browse other questions tagged .