Examples



mdbootstrap.com



 
Статья
2016

On quasi-Sasakian hypersurfaces of Kähler manifolds


L. V. StepanovaL. V. Stepanova, G. A. BanaruG. A. Banaru, M. B. BanaruM. B. Banaru
Русская математика
https://doi.org/10.3103/S1066369X16010096
Abstract / Full Text

We establish several conditions which are necessary for a quasi-Sasakian hypersurface of a Kähler manifold to be minimal.

Author information
  • Smolensk Branch of Moscow State University of Railway Engineering, ul. Belyaeva 45, Smolensk, 214012, RussiaL. V. Stepanova
  • Smolensk State University, ul. Przheval’skogo 4, Smolensk, 214000, RussiaG. A. Banaru & M. B. Banaru
References
  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).
  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).
  4. Banaru, M. B. “On Almost Contact Metric 1-Hypersurfaces of Kähler Manifolds”, Sib. Math. J. 55, No. 4, 585–588 (2014).
  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).
  7. Banaru, M. “On Minimality of a Sasakian Hypersurface in aW3-Manifold”, SaitamaMath. J. 20, 1–7 (2002).
  8. Banaru, M. B. “On Sasakian Hypersurfaces of Six-Dimensional Hermitian Submanifolds of the Cayley Algebra”, Sb. Math. 194, No. 8, 1125–1136 (2003).
  9. Blair, D. E. Contact Manifolds in Riemannian Geometry (Lect. Notes Math., 1976), Vol. 509.