Sentence examples for complex manifold from inspiring English sources

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.

Firstly, a general mathematical model was established with intake and underflow headers to simplify preliminary design of complex manifold systems.

Experimental results on several benchmark databases suggest that the proposed MSNP provides a unsupervised feature extraction approach with powerful pattern revealing capability for complex manifold data.

This theoretical study proposed a reasonable optimized scheme for uniform distribution during preliminary design of complex manifold systems, which provided convenience and flexibility for designers.

Additionally, the complex manifold system with unbalanced helium mass flow in each of the 2 parallel cooling loops made the concept thermohydraulically complex.

This modeling work includes the entire manifold length with multiple microchannels, whereas previous models have only focused on individual microchannels, ignoring complex manifold effects.

In the first case there is chance of our meeting anew this same simple fact, either in all its purity or entering as an element in a complex manifold.

For example, the set of all complex structures on a given smooth manifold can itself be made into a complex manifold; this is an example of a moduli space.

A space can be endowed with various kinds of geometric structures: a real differentiable structure describes a manifold, a complex structure describes a complex manifold, and a Riemannian structure describes a manifold together with a metric.

Let X be a complex manifold which is homogeneous under the real analytic Lie group G where G is solvable with codimension one nilradical.