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gptkbp:instanceOf
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Kähler manifold
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gptkbp:builtBy
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identifying points by multiplication by a fixed complex number with modulus greater than 1
quotient of complex vector space minus origin by discrete group
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gptkbp:compact
|
true
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gptkbp:dimensions
|
2
n
greater than 2
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gptkbp:example
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non-Kähler manifold
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gptkbp:firstDescribed
|
1948
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gptkbp:fundamentalGroup
|
infinite cyclic group
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gptkbp:hasBettiNumber1
|
1
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gptkbp:hasBettiNumber2
|
0
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gptkbp:hasConnection
|
false
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gptkbp:hasHolomorphicLineBundle
|
true
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gptkbp:hasNoKählerMetric
|
true
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gptkbp:hasStructureGroup
|
gptkb:GL(n,_C)
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|
https://www.w3.org/2000/01/rdf-schema#label
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Hopf manifold
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gptkbp:isComplexAnalytic
|
true
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gptkbp:isDifferentiableManifold
|
true
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gptkbp:isomorphicTo
|
S^1 × S^{2n-1}
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gptkbp:isQuotientOf
|
C^n \\ {0}
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gptkbp:namedAfter
|
gptkb:Heinz_Hopf
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gptkbp:relatedTo
|
complex projective space
complex torus
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gptkbp:universalCover
|
complex vector space minus origin
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gptkbp:usedIn
|
gptkb:topology
differential geometry
complex geometry
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gptkbp:bfsParent
|
gptkb:Heinz_Hopf
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gptkbp:bfsLayer
|
5
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