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A characterization of symmetric domains
- 1.0043219 - MÚ 2007 RIV JP eng J - Journal Article
Engliš, Miroslav
A characterization of symmetric domains.
[Charakterizace symetrických oblastí.]
Journal of Mathematics of Kyoto University. Roč. 46, č. 1 (2006), s. 123-146. ISSN 0023-608X
R&D Projects: GA AV ČR(CZ) IAA1019304
Institutional research plan: CEZ:AV0Z10190503
Keywords : Kaehler manifold * symmetric space * Berezin transform
Subject RIV: BA - General Mathematics
Impact factor: 0.270, year: 2006
We prove that the Laplace-Beltrami operator commutes with the Berezin transform on a Kaehler manifold if and only if it is a Hermitian symmetric space.
Dokážeme, že Laplace-Beltramiho operátor na Kaehlerově varietě komutuje s Berezinovou transformací tehdy a jen tehdy, je-li tato varieta Hermitovským symetrickým prostorem.
Permanent Link: http://hdl.handle.net/11104/0136264
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