Conjugate radius
From Diffgeom
This article defines a scalar function on a manifold, viz a function from the manifold to real numbers. The scalar function may be intrinsic or defined in terms of some other structure/functions
Definition
The conjugate radius is a scalar function on a Riemannian manifold is defined as follows: the injectivity radius at
is the supremum of all values
such that the exponential map from the unit ball
in
, to the manifold
, is nonsingular.