The Kenmotsu hypersurfaces axiom for 6-dimensional Hermitian submanifolds of the Cayley algebra

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• 作者：M. B. Banaru (1)
  
• 关键词：almost contact complex structure ; Kenmotsu structure ; 6 ; dimensional Hermitian submanifold of the Cayley algebra
• 刊名：Siberian Mathematical Journal
• 出版年：2014
• 出版时间：March 2014
• 年：2014
• 卷：55
• 期：2
• 页码：210-214
• 全文大小：
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  16. / Banaru M., 鈥淥n the Gray-Hervella classes of AH-structures on six-dimensional submanifolds of Cayley algebra,鈥?Ann. Univ. Sofia 鈥淪t. Kl. Ohridski鈥?Math., 95, 125鈥?31 (2004).
  17. / Banaru M. B., 鈥淭he type number of the cosymplectic hypersurfaces of 6-dimensional Hermitian submanifolds of the Cayley algebra,鈥?Siberian Math. J., 44, No. 5, 765鈥?73 (2003). CrossRef
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• 作者单位：M. B. Banaru (1)
  
  1. Smolensk State University, Smolensk, Russia
  
• ISSN：1573-9260

文摘

We prove that every 6-dimensional Hermitian submanifold of the Cayley algebra satisfying the Kenmotsu Hypersurfaces Axiom is a locally symmetric submanifold of Ricci type.