PANÁK, Martin and Lorenz SCHWACHHOEFER. Bochner-Kähler metrics and connections of Ricci type. In Proceedings of the 10th International Conference on Differential Geometry and Its Applications 2007, Differential geometry and its applications, 339--352 (2008). London, Singapore: World Scientific, 2008. p. 339-352. ISBN 978-981-279-060-6.
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Basic information
Original name Bochner-Kähler metrics and connections of Ricci type
Name in Czech Bochnerovy-Kählerovy metriky a konexe Ricciho typu
Authors PANÁK, Martin (203 Czech Republic, guarantor) and Lorenz SCHWACHHOEFER (276 Germany).
Edition London, Singapore, Proceedings of the 10th International Conference on Differential Geometry and Its Applications 2007, Differential geometry and its applications, 339--352 (2008), p. 339-352, 14 pp. 2008.
Publisher World Scientific
Other information
Original language English
Type of outcome Proceedings paper
Field of Study 10101 Pure mathematics
Country of publisher Czech Republic
Confidentiality degree is not subject to a state or trade secret
WWW URL
RIV identification code RIV/00216224:14310/08:00030005
Organization unit Faculty of Science
ISBN 978-981-279-060-6
Keywords in English Bochner-Kaehler metric Sasaki metric Ricci type connection Weyl structure
Tags International impact, Reviewed
Changed by Changed by: Mgr. Martin Panák, Ph.D., učo 7048. Changed: 29/3/2010 11:30.
Abstract
In the article we apply the results by Cahen and Schwachhoefer about special symplectic geometries to the case of Bochner- Kaehler metrics. We obtain a (local) classification of these based on the orbit types of the adjoint action in su(n, 1). The relation between Sasaki and Bochner-Kaehler metrics in cone and transveral metrics constructions is discussed. The connection of the special symplectic and Weyl connections is outlined. The duality between the Ricci-type and Bochner-Kaehler metrics is shown.
Abstract (in Czech)
Výsledky pánů Cahena a Schwachhoefera o speciálních symplektických konexích jsou aplikovány na případ Bochnerových-Kaehlerových metrik, které jsou v článku klasifikovány. Jsou ukázány souvislosti Bochnerových-Kaehlerových metric s kuželovou metrikou nad Sasakiho metrikou a s konexemi Ricciho typu.
Links
GP201/05/P088, research and development projectName: Speciální konexe a multisymplektické formy
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