"compact" nach Englisch mit Beispielen - Kollokationen-Wörterbuch Englisch
- Actually, it can be shown that every compact Riemann surface can be embedded into complex projective 3-space.
- Continuing in this vein, compact Riemann surfaces can map to surfaces of lower genus, but not to higher genus, except as constant maps.
- In contrast, on a compact Riemann surface every holomorphic function is constant, while there always exist non-constant meromorphic functions.
- The result described gives that a very definite meaning, applying to projective curves and compact Riemann surfaces in particular.
- It is in constant use in complex analysis, algebraic geometry and complex manifold theory, as the simplest example of a compact Riemann surface.
- Another extension of the theory appears in where the underlying space of the Riemann-Hilbert problem is a compact hyperelliptic Riemann surface.
- He proved unique ergodicity of horocycle flows on a compact hyperbolic Riemann surfaces in the early 1970s.
- In mathematics, a compact Riemann surface is a complex manifold of dimension one that is a compact space.
- Note that the uniformization theorem implies that every compact Riemann surface of genus one can be represented as a torus.
- Thus, compact Riemann surfaces are characterized topologically simply by their genus.
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