On almost contact metric hypersurfaces with type number 1 in 6-dimensional K?hler submanifolds of the Cayley algebra

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• 作者：M. B. Banaru
• 关键词：almost contactmetric structure ; cosymplectic structure ; type number ; hypersurface ; six ; dimensional K?hler submanifold of the Cayley algebra
• 刊名：Russian Mathematics (Iz VUZ)
• 出版年：2014
• 出版时间：October 2014
• 年：2014
• 卷：58
• 期：10
• 页码：10-14
• 全文大小：439 KB
• 参考文献：1. Kirichenko, V. F. “Classification of K?hler Structures Induced by 3-vector Products in 6-dimensional Submanifolds of Cayley Algebra,-Soviet Mathematics (Iz. VUZ) 24, No 8, 36-3 (1980).
  2. Banaru, M. B. and Kirichenko, V. F. “The Hermitian Geometry of the 6-Dimensional Submanifolds of a Cayley Algebra,-Russ. Math. Surv. 49, No. 1, 223-24 (1994). CrossRef
  3. Banaru, M. B. “Two Theorems on CosymplecticHypersurfaces of 6-dimensional Hermitian Submanifolds of Cayley Algebra,-Russian Mathematics (Iz. VUZ) 46, No. 1, 7-0 (2002).
  4. Banaru, M. B. “Hermitian Geometry of 6-Dimensional Submanifolds of the Cayley Algebra,-Sb. Math. 193, No. 5, 635-48 (2002). CrossRef
  5. Banaru, M. B. “On Cosymplectic Hypersurfaces of 6-Dimensional K?hler Submanifolds of the Cayley Algebra,-Russian Mathematics (Iz. VUZ) 47, No. 7, 60-3 (2003).
  6. Banaru, M. B. “On Six-Dimensional / G2-Submanifolds of the Cayley Algebra,-Math. Notes 74, No. 3, 311-15 (2003). CrossRef
  7. Banaru, M. B. “Sasakian Hypersurfaces of Six-Dimensional Hermitian Submanifolds of the Cayley Algebra,-Sb.Math. 194, No. 8, 1125-136 (2003). CrossRef
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  13. Abu-Saleem, A. and Banaru, M. “Some Applications of Kirichenko Tensors,-Analele Univ. Oradea 17, No. 2, 201-08 (2010).
  14. Banaru, M. “On the Gray-Hervella Classes of AH-Structures on Six-Dimensional Submanifolds of Cayley Algebra,-Annuaire de l’universite de Sofia ‘St. Kl.Ohridski-Math. 95, 125-31 (2004).
  15. Stepanova, L. V. “Quasi-Sasakian Structure on Hypersurfaces in Hermitian Manifolds,-Nauch. trudy MPGUim. V. I. Lenina, 187-91 (1995).
  
• 作者单位：M. B. Banaru (1)
  
  1. Smolensk State University, ul. Przheval’skogo 4, Smolensk, 214000, Russia
  
• ISSN：1934-810X

文摘

We prove that the condition for the type number of an almost contact metric surface in a six-dimensional K?hler submanifold of the Cayley algebra to be 0 or 1 is not only necessary but also sufficient condition for the almost contact metric structure to be cosymplectic.