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NEW EXAMPLES OF SASAKI-EINSTEIN MANIFOLDS
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- MABUCHI TOSHIKI
- Department of Mathematics, Osaka University
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- NAKAGAWA YASUHIRO
- Department of Mathematics, Graduate School of Science and Engineering, Saga University
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Description
In this note, stimulated by the existence result by Futaki, Ono and Wang for toric Sasaki-Einstein metrics, we obtain new examples of Sasaki-Einstein metrics on $S^1$-bundles associated to canonical line bundles of $\boldsymbol{P}^1(\boldsymbol{C})$-bundles over Kähler-Einstein Fano manifolds, even though the Futaki's obstruction does not vanish. Here our examples include non-toric Sasaki-Einstein manifolds.
Journal
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- Tohoku Mathematical Journal, Second Series
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Tohoku Mathematical Journal, Second Series 65 (2), 243-252, 2013
Mathematical Institute, Tohoku University
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Keywords
Details 詳細情報について
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- CRID
- 1390282680093789952
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- NII Article ID
- 130005562143
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- ISSN
- 2186585X
- 00408735
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- Text Lang
- en
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- Article Type
- journal article
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- Data Source
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- JaLC
- Crossref
- CiNii Articles
- KAKEN
- OpenAIRE
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- Abstract License Flag
- Disallowed