The axiom of cosymplectic surfaces and W 4-manifolds

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• 作者：M. B. Banaru
• 刊名：Moscow University Mathematics Bulletin
• 出版年：2015
• 出版时间：September 2015
• 年：2015
• 卷：70
• 期：5
• 页码：213-215
• 全文大小：432 KB
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  7.L. V. Stepanova “Quasi-Sasakian Structure on Hypersurfaces in Hermitian Manifolds,-in Nauch. Trudy of V. I. Lenin’s MPGU, 1995, pp. 187-91.
  8.M. B. Banaru, “On Sasakian Hypersurfaces in 6-dimensional Hermitian Submanifolds of the Cayley Algebra,-Matem. Sborn. 194 (8), 13 (2003)MathSciNet CrossRef
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  10.M. Banaru, “On Minimality of a Sasakian Hypersurface in a W 3-Manifold-Saitama Math. J. 20. 1 (2002).MATH MathSciNet
  11.M. B. Banaru, “On the Kenmotsu Hypersurfaces of Special Hermitian Manifolds,-Sib. Matem. Zh. 45 (1), 11 (2004)MATH MathSciNet CrossRef
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  12.M. B. Banaru, “The Type Number of the Cosymplectic Hypersurfaces of 6-Dimensional Hermitian Submanifolds of the Cayley Algebra,-Sib. Matem. Zh. 44 (5), 981 (2003)MATH MathSciNet
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  13.M. Banaru, “On the Gray-Hervella Classes of AH-structures on Six-Dimensional Submanifolds of Cayley Algebra,-Annu. univ. de Sofia “St. Kl. Ohridski- Math. 95, 125 (2004).MATH MathSciNet
  14.Bing-Ye Wu, --type Minimal Surfaces in Complex Grassmann Manifolds and its Gauss Map,-Tsukuba J. Math. 26, 49 (2002).MATH MathSciNet
  
• 作者单位：M. B. Banaru (1)
  
  1. Faculty of Physics and Mathematics, Smolensk State University, ul. Przheval’skogo 4, Smolensk, 214000, Russia
  
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Analysis
  Russian Library of Science
  
• 出版者：Allerton Press, Inc. distributed exclusively by Springer Science+Business Media LLC
• ISSN：1934-8444

文摘

An almost Hermitian manifold satisfies the cosymplectic t-hypersurfaces axiom if a cosymplectic hypersurface with the type number t passes through each its point. It is proved that if a W ₄- manifold satisfies the cosymplectic t-hypersurfaces axiom with t < 1, then this manifold is K?hlerian. Original Russian Text ? M.B. Banaru. 2015. published in Vestnik Moskovskogo Universiteta. Matematika. Mekhanika. 2015. Vol. 70, No. 5, pp. 34-37.