On quasi-Sasakian hypersurfaces of Kähler manifolds
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- 作者：L. V. Stepanova ; G. A. Banaru ; M. B. Banaru
- 关键词：almost contact metric structure ; quasi ; Sasakian structure ; type number ; hypersurface ; Kähler manifold
- 刊名：Russian Mathematics (Iz VUZ)
- 出版年：2016
- 出版时间：January 2016
- 年：2016
- 卷：60
- 期：1
- 页码：73-75
- 全文大小：474 KB
- 参考文献：1.L. V. Stepanova, L. V. “A Quasi-Sasakian Structure on Hypersurfaces of Hermitian Manifolds”, Nauchn. trudy MPGUim. V. I. Lenina, 187–191 (1995).
2.Stepanova, L. V., Banaru, M. B. “On Hypersurfaces of Quasi-Kählerian Manifolds”, An. Stiint. Univ. Al. I. Cuza Iasi, Ser, Nuoa 47, No. 1, 65–70 (2001).MathSciNet
3.Abu-Saleem, A., Banaru, G. A. “On Some Contact Metric Structures on Hypersurfaces in a Kählerian Manifold”, ActaUniv. ApulensisMath. Inform. 31, 179–189 (2012).MATH MathSciNet
4.Banaru, M. B. “On Almost Contact Metric 1-Hypersurfaces of Kähler Manifolds”, Sib. Math. J. 55, No. 4, 585–588 (2014).MATH MathSciNet CrossRef
5.V. F. Kirichenko, Differntial-Geometric Structures on Manifolds (Pechatnyi Dom, Odessa, 2013).
6.Kirichenko, V. F., Rustanov, A. R. “Differential Geometry of Quasi-Sasakian Manifolds”, Sb. Math. 193, No. 8, 1173–1201 (2002).MATH MathSciNet CrossRef
7.Banaru, M. “On Minimality of a Sasakian Hypersurface in aW3-Manifold”, SaitamaMath. J. 20, 1–7 (2002).MATH MathSciNet
8.Banaru, M. B. “On Sasakian Hypersurfaces of Six-Dimensional Hermitian Submanifolds of the Cayley Algebra”, Sb. Math. 194, No. 8, 1125–1136 (2003).MATH MathSciNet CrossRef
9.Blair, D. E. Contact Manifolds in Riemannian Geometry (Lect. Notes Math., 1976), Vol. 509.MATH - 作者单位：L. V. Stepanova (1)
G. A. Banaru (2)
M. B. Banaru (2)
1. Smolensk Branch of Moscow State University of Railway Engineering, ul. Belyaeva 45, Smolensk, 214012, Russia
2. Smolensk State University, ul. Przheval’skogo 4, Smolensk, 214000, Russia - 刊物类别：Mathematics and Statistics
- 刊物主题：Mathematics
Mathematics
Russian Library of Science - 出版者：Allerton Press, Inc. distributed exclusively by Springer Science+Business Media LLC
- ISSN：1934-810X
文摘
We establish several conditions which are necessary for a quasi-Sasakian hypersurface of a Kähler manifold to be minimal.