Category:Normal Neighborhoods
Jump to navigation
Jump to search
This category contains results about Normal Neighborhoods.
Definitions specific to this category can be found in Definitions/Normal Neighborhoods.
Let $\struct {M, g}$ be a Riemannian or pseudo-Riemannian manifold without boundary.
Let $T_p M$ be the tangent space of $M$ at $p \in M$.
Let $\EE$ be the domain of the exponential map.
Let $\EE_p = \EE \cap T_p M$.
Let $\exp_p : \EE_p \to M$ be the restricted exponential map.
Let $U_p \subseteq M$ be a neighborhood of $p \in M$.
Suppose $U_p$ is the diffeomorphic image of $\exp_p$ of a star-shaped neighborhood of $0 \in T_p M$.
Then $U_p$ is called a normal neighborhood of $p$.
Pages in category "Normal Neighborhoods"
The following 8 pages are in this category, out of 8 total.