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.