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Approximation of
regular Sasakian manifolds
Giovanni Placini |
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Vol. 327 (2023), No. 1, 167–181
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Abstract |
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We investigate the problem of approximating a regular Sasakian structure by CR immersions in a standard sphere. Namely, we show that this is always possible for compact Sasakian manifolds. We prove an approximation result for noncompact -Einstein manifolds via immersions in the infinite-dimensional sphere and complement this with several examples. |
Keywords
Sasakian structure approximation, CR immersions,
$\eta$-Einstein manifolds, Bergman kernel
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Mathematical Subject Classification
Primary: 53C25, 53C42
Secondary: 53C55
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Milestones
Received: 10 May 2023
Revised: 20 December 2023
Accepted: 22 December 2023
Published: 18 February 2024
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Authors |
| Giovanni Placini | |
| Dipartimento di Matematica e
Informatica Università degli Studi di Cagliari Cagliari Italy |
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| © 2023 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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