Bishop's Inequality
Let 
be the volume of a Ball of radius 
in a complete 
-D Riemannian Manifold with RicciCurvature 
. Then 
, where 
is the volume of a Ball in a spacehaving constant Sectional Curvature. In addition, if equality holds for some Ball, then this Ballis Isometric to the Ball of radius in the space of constant Sectional Curvature
.
References
Chavel, I. Riemannian Geometry: A Modern Introduction. New York: Cambridge University Press, 1994.
- Medial Triangle
- Medial Triangle Locus Theorem
- Median Point
- Median (Statistics)
- Mediant
- Median (Triangle)
- Mega
- Megistron
- Mehler-Dirichlet Integral
- Mehler Quadrature
- Mehler's Bessel Function Formula
- Mehler's Hermite Polynomial Formula
- Meijer's G-Function
- Meissel's Formula
- Mellin Transform
- Melnikov-Arnold Integral
- Melodic Series
- MEM
- Memoryless
- Menasco's Theorem
- Menelaus' Theorem
- Menger's n-Arc Theorem
- Menger Sponge
- Menn's Surface
- Mensuration Formula