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Stein manifold

In mathematics, in the theory of several complex variables and complex manifolds, a Stein manifold is a closed, complex submanifold of the vector space of n complex dimensions. More intrinsically it can be defined as a complex manifold admitting a proper holomorphic embedding into C n {\displaystyle \mathbb {C} ^{n}} for some n {\displaystyle n} . They…

Properties and examples of Stein manifolds, Non-compact Riemann surfaces are Stein manifolds & Overview

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Properties and examples of Stein manifolds

Domain of holomorphyFatou–Bieberbach domainBiholomorphicAmbient spaceIf and only if
18 related topics

Non-compact Riemann surfaces are Stein manifolds

Riemann surfaceTheoremHeinrich BehnkeHans GrauertHelmut Röhrl
7 related topics

Overview

Several complex variablesComplex manifoldsSubmanifoldVector spaceComplex
12 related topics

Definition

CompactHolomorphic hull
2 related topics

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Overview

Definition

Non-compact Riemann surfaces are Stein manifolds

Properties and examples of Stein manifolds

Relation to smooth manifolds

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Stein manifold

Nodes46
Edges45
Triples105
Avg. degree1.96
Density0.043478
Components1

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Stein manifold

Top relations

related to References · 77
Stein manifold → Algebraic Stein, American Mathematical Society, Amsterdam, An, Analytische Funktionen, Andrist, Ann, Annals, Behnke-Stein, Berlin-New York, Cousinsche Problem, Ergebnisse, Folge, Forster, Forstnerič, Franc, German, Gompf, Graduate Text, Grauert
related to Non-compact Riemann surfaces are Stein manifolds · 10
Stein manifold → Another, Cousin, Hans Grauert, Heinrich Behnke, Helmut Röhrl, In, Let, Riemann, Stein, This
related to Properties and examples of Stein manifolds · 7
Stein manifold → Bieberbach, Every, Every Fatou, Every Stein, Stein, The, These
related to Stein manifolds and curvature · 6
Stein manifold → If, Kähler, Stein, The, There, Wu
related to Definition · 3
Stein manifold → Stein, Suppose, We
is a · 2
Stein manifold → closed, Stein manifold

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Important terminology

stein manifold displaystyle complex manifolds every holomorphic doi compact dimension 10 mathbb riemann mr function mathematics space embedding theorem s2cid

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Stein manifoldis aclosed0.90text
Stein manifoldis aStein manifold0.90text
Stein manifoldrelated to DefinitionSuppose0.60section
Stein manifoldrelated to DefinitionWe0.60section
Stein manifoldrelated to DefinitionStein0.60section
Stein manifoldrelated to Non-compact Riemann surfaces are Stein manifoldsLet0.60section
Stein manifoldrelated to Non-compact Riemann surfaces are Stein manifoldsRiemann0.60section
Stein manifoldrelated to Non-compact Riemann surfaces are Stein manifoldsHeinrich Behnke0.60section
Stein manifoldrelated to Non-compact Riemann surfaces are Stein manifoldsStein0.60section
Stein manifoldrelated to Non-compact Riemann surfaces are Stein manifoldsAnother0.60section
Stein manifoldrelated to Non-compact Riemann surfaces are Stein manifoldsHans Grauert0.60section
Stein manifoldrelated to Non-compact Riemann surfaces are Stein manifoldsHelmut Röhrl0.60section

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