Sentence examples for manifold with from inspiring English sources

Let X be a smooth compact manifold with boundary.

Let (Mn, g) be a compact Riemannian manifold with boundary.

On a complex manifold with normally crossing divisors there are several natural classes of metrics.

A complex manifold is just a real manifold with the additional specifiction of a local complex structure around each point.

Liouville quantum gravity is a canonical model for a random 2d Riemannian manifold with roots in the physics literature.

An interesting intermediate situation is a manifold with infinite cylindrical ends, which we call a mixed system.

Notably, acyclic internal alkenes, such as (E -but-2-en-1-yl bE -but-2-en-1-ylrticipatE -but-2-en-1-yltalyzE -but-2-en-1-ylzation manifold with modE -but-2-en-1-yl (sE -but-2-en-1-yl Fig. 5).

A principle example is the Laplace operator for a manifold with an asymptotically conic singularity.

We show that any n-manifold with p points is homotopy equivalent to a compressed n-manifold with m points, m

Let \(M\) be a closed hyperbolic 3-manifold with a fibered face \(\sigma\) of the unit ball of the Thurston norm on \(H_2(M \).

M is a 3-manifold with rotational symmetry.