Let be a compact -D Manifold with Injectivity radius
. Then

with equality Iff is Isometric to the standard round Sphere with Radius , where is the Volume of the standard -Hypersphere of Radius .

**References**

Chavel, I. *Riemannian Geometry: A Modern Introduction.* New York: Cambridge University
Press, 1994.

© 1996-9

1999-05-26