The holomorphic \(\varphi\)-sectional curvature of tangent sphere bundles with Sasakian structures (Q2919584)
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scientific article; zbMATH DE number 6090205
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The holomorphic \(\varphi\)-sectional curvature of tangent sphere bundles with Sasakian structures |
scientific article; zbMATH DE number 6090205 |
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4 October 2012
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natural lift
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tangent sphere bundle
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Sasakian structure
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holomorphic \(\varphi\)-sectional curvature
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The holomorphic \(\varphi\)-sectional curvature of tangent sphere bundles with Sasakian structures (English)
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The present paper studies conditions under which the tangent sphere bundles of natural diagonal lift type with Sasakian structures, previously introduced by the same authors, have constant holomorphic \(\varphi\)-sectional curvature, i.e., they are Sasakian space forms. An important conclusion is that there are no natural diagonal tangent sphere bundles of constant radius \(r\), which are also Sasakian space forms.
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