Examples of 'complex manifold' in a sentence

Meaning of "complex manifold"

complex manifold - This term is often used in mathematics to describe a complicated structure with multiple layers or dimensions

How to use "complex manifold" in a sentence

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complex manifold
Any complex manifold is an analytic variety.
The induced almost complex structure on any complex manifold is integrable.
It is true that every complex manifold is in particular a real smooth manifold.
The most significant cases are those coming from algebraic geometry and complex manifold theory.
Often the space is a complex manifold and the group is a discrete group.
Increasing the number of inlets and outlets for each cell creates a more complex manifold design.
X is a complex manifold.
Serre also proved Serre duality for holomorphic vector bundles on any compact complex manifold.
A projective complex manifold is a complex manifold which can be embedded in complex projective space.
Any complex nonsingular algebraic curve viewed as a complex manifold is a Riemann surface.
That is, every complex manifold is an almost complex manifold, but not vice versa.
Suppose that X is a complex manifold.
Complex manifold structures or the application of secondary fixing means, adhesives etc are not required.
Teichmüller space has a canonical complex manifold structure and a wealth of natural metrics.
Hence the two-dimensional sphere admits a unique complex structure turning it into a one-dimensional complex manifold.

See also

Let X be a compact complex manifold of complex dimension n.
In mathematics, Deligne cohomology is the hypercohomology of the Deligne complex of a complex manifold.
A Riemann surface X is a connected complex manifold of complex dimension one.
With this notation, the Hodge conjecture becomes, Let X be a projective complex manifold.
Since Teichmüller space is a complex manifold it carries a Carathéodory metric.
In mathematics, particularly in complex analysis, a Riemann surface is a one-dimensional complex manifold.
Every ( almost ) complex manifold admits a Hermitian metric.
Suppose that M is a complex manifold.
A complex manifold is a topological space X { \ displaystyle X } such that,.
A Riemann surface " X " is a complex manifold of complex dimension one.

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