Definition:Riemannian Manifold with Boundary

Definition

Let $M$ be a smooth manifold with a boundary.

Let $g$ be a Riemannian metric.

Then the pair $\tuple {M, g}$ is called the Riemannian manifold with a boundary.

Sources

• 2018: John M. Lee: Introduction to Riemannian Manifolds (2nd ed.) ... (previous) ... (next): $\S 2$: Riemannian Metrics. Definitions