Hermitian spin surfaces with small eigenvalues of the Dolbeault operator. (Q1774101)
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scientific article
| Language | Label | Description | Also known as |
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| English | Hermitian spin surfaces with small eigenvalues of the Dolbeault operator. |
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Hermitian spin surfaces with small eigenvalues of the Dolbeault operator. (English)
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29 April 2005
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The author studies the Hermitian surfaces that under some conditions, fixed in theorem 1.1, are locally conformal Kähler surfaces. In particular, in section 2, it is shown that such a manifold is either a ruled surface or a Hopf surface. The author gives a complete classification of ruled surfaces with this property. For the Hopf surfaces a partial classification is obtained and some examples are given.
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Hermitian surface
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Kähler metric
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Hopf surface
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ruled surface
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locally conformal Kähler metric
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0.93008804
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0.88896567
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0.8537884
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0.8429688
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0.84258807
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0.8327099
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