Examples of 'riemann surfaces' in a sentence
Meaning of "riemann surfaces"
Riemann surfaces are a mathematical concept that was introduced by the German mathematician Bernhard Riemann. They are two-dimensional surfaces that are used in complex analysis, specifically in the study of analytic functions
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- plural of Riemann surface
How to use "riemann surfaces" in a sentence
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riemann surfaces
Riemann surfaces and the theta function.
This is an example of a branched covering of Riemann surfaces.
Two conformally equivalent Riemann surfaces are for all practical purposes identical.
Elliptic functions are examples of parabolic Riemann surfaces.
There is a different classification for Riemann surfaces which is typically used by complex analysts.
I am interested in the topologies of moduli spaces of Riemann surfaces.
It is natural to ask which Riemann surfaces arise in this way.
The course is intended as a rigorous introductory course to Riemann surfaces.
The main interest in Riemann surfaces is that holomorphic functions may be defined between them.
This is in analogy with the case of Riemann surfaces.
Riemannian manifolds and Riemann surfaces are named after Riemann.
We shall study some moduli spaces on Riemann surfaces.
This is a surprising theorem, Riemann surfaces are given by locally patching charts.
They are one foundation for the theory of Riemann surfaces.
These models concern maps from Riemann surfaces into a fixed target-usually a Calabi-Yau manifold.
See also
See how sheaves are used in the article on Riemann surfaces.
Examples of Stein manifolds include non-compact Riemann surfaces and non-singular affine complex algebraic varieties.
These theories depended on the properties of a function defined on Riemann surfaces.
He works on hyperbolic geometry, Riemann surfaces and complex dynamics.
Other highlights include his work on abelian functions and theta functions on Riemann surfaces.
Uniformization of Riemann surfaces.
Play media Mirzakhani made several contributions to the theory of moduli spaces of Riemann surfaces.
The Riemann surfaces with curvature - 1 are called hyperbolic.
Map between compact Riemann surfaces.
Uniformization of Riemann Surfaces - Revisiting a hundred-year-old theorem.
Fuchsian groups are used to create Fuchsian models of Riemann surfaces.
Category, Riemann surfaces.
Contributions to the Problem of Type on Riemann surfaces.
Hyperbolic Riemann surfaces = = = The Riemann surfaces with curvature -1 are called " hyperbolic.
Intrinsic moduli on Riemann surfaces.
Elliptic functions are defined on tori, examples of parabolic Riemann surfaces.
Metrics are doubly-covariant symmetric forms et geodesics are immersions of Riemann surfaces into the manifolds.
As such, Möbius transformations play an important role in the theory of Riemann surfaces.
He proved unique ergodicity of horocycle flows on compact hyperbolic Riemann surfaces in the early 1970s.
In particular, the nonsingular complex projective algebraic curves are called Riemann surfaces.
He constructed from M5-branes, which are wound around Riemann surfaces with punctures.
In a real two dimensional space, conformal geometry is precisely the geometry of Riemann surfaces.
Examples of complex manifolds = = * Riemann surfaces.
Among many interpretations, Hurwitz numbers count the number of weighted ramified coverings of Riemann surfaces.
Speiser worked on number theory, group theory, and the theory of Riemann surfaces.
His research interests include moduli spaces, integrable systems, and Riemann surfaces.
Consequently, TQFTs are usually studied on curved spacetimes, such as, for example, Riemann surfaces.
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Examples of using Surfaces
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The surfaces remain hot after operation
Do not use on wet surfaces or pick up any
Examples of using Riemann
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Riemann made major contributions to real analysis
Contraction of riemann tensor
Riemann surfaces and the theta function
