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| 512.548+514.76 (2) |
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| Дифференциальная геометрия. Алгебраические и аналитические методы в геометрии (23) |
 SM ISO690:2012BANARU, Mihail, BANARU, Galina. A note on six-dimensional planar Hermitian
submanifolds of Cayley algebra. In: Buletinul Academiei de Ştiinţe a Moldovei. Matematica, 2014, nr. 1(74), pp. 23-32. ISSN 1024-7696. |
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| Buletinul Academiei de Ştiinţe a Moldovei. Matematica | |||||
| Numărul 1(74) / 2014 / ISSN 1024-7696 | |||||
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| CZU: 512.548+514.76 | |||||
| Pag. 23-32 | |||||
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| Rezumat | |||||
Six-dimensional planar Hermitian submanifolds of Cayley algebra are considered. It is proved that if such a submanifold of the octave algebta satisfies the U-Kenmotsu hypersurfaces axiom, then it is K¨ahlerian. It is also proved that a symmetric non-K¨ahlerian Hermitian six-dimensional submanifold of the Ricci type does not admit totally umbilical Kenmotsu hypersurfaces. |
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| Cuvinte-cheie Six-dimensional planar Hermitian submanifolds of Cayley algebra, almost contact metric structure |
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Dublin Core Export
<?xml version='1.0' encoding='utf-8'?> <oai_dc:dc xmlns:dc='http://purl.org/dc/elements/1.1/' xmlns:oai_dc='http://www.openarchives.org/OAI/2.0/oai_dc/' xmlns:xsi='http://www.w3.org/2001/XMLSchema-instance' xsi:schemaLocation='http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd'> <dc:creator>Banaru, M.B.</dc:creator> <dc:creator>Banaru, G.A.</dc:creator> <dc:date>2014-02-04</dc:date> <dc:description xml:lang='en'>Six-dimensional planar Hermitian submanifolds of Cayley algebra are considered. It is proved that if such a submanifold of the octave algebta satisfies the U-Kenmotsu hypersurfaces axiom, then it is K¨ahlerian. It is also proved that a symmetric non-K¨ahlerian Hermitian six-dimensional submanifold of the Ricci type does not admit totally umbilical Kenmotsu hypersurfaces.</dc:description> <dc:source>Buletinul Academiei de Ştiinţe a Moldovei. Matematica 74 (1) 23-32</dc:source> <dc:subject>Six-dimensional planar Hermitian submanifolds of Cayley algebra</dc:subject> <dc:subject>almost contact metric structure</dc:subject> <dc:title>A note on six-dimensional planar Hermitian submanifolds of Cayley algebra</dc:title> <dc:type>info:eu-repo/semantics/article</dc:type> </oai_dc:dc>
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