- #1
pellman
- 684
- 5
Can the surface of a hemisphere be distinguished from a disk without introducing a metric?
What is the minimum amount of info we need to know to identify one space as a disk and the other as the surface of hemisphere?
Both can have the same coordinate chart. For example, distance from the center r + position [tex]\theta[/tex] on the circle passing through r.
What is the minimum amount of info we need to know to identify one space as a disk and the other as the surface of hemisphere?
Both can have the same coordinate chart. For example, distance from the center r + position [tex]\theta[/tex] on the circle passing through r.