SavedAdd your journal

Journals / International Electronic Journal of Geometry / 2018 / Volume: 11 Issue: 2

Extremities Involving B. Y. Chen’s Invariants for Real Hypersurfaces in Complex Quadric

Pooja Bansal
Siraj Uddin
Mohammad Hasan Shahid
Pages
—
Publication Date
2018-11-30
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
🔖

Cite This Article

Bansal, P., Uddin, S., Shahid, M. H. (2018). Extremities Involving B. Y. Chen’s Invariants for Real Hypersurfaces in Complex Quadric. International Electronic Journal of Geometry, Volume: 11 Issue: 2. https://doi.org/10.36890/iejg.545120

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (21)

  1. Arslan, K., Ezentas, R., Mihai, I., Özgür, C., Certain inequalities for submanifolds in (k, µ)--contact space forms. Bull. Aust. Math. Soc., 64 (2001), no. 2, 201-212.
  2. Bansal, P., Shahid, M. H., Non-existence of Hopf real hypersurfaces in complex quadric with recurrent Ricci tensor, Appl. Appl. Math. 13 (2018), in press.
  3. Bansal, P., Shahid, M. H., Optimization approach for bounds involving generalised normalised δ-Casorati curvatures, Advances in Intelligent Systems and Computing, 741 (2018), 227-237.
  4. Bansal, P., Shahid, M. H., Bounds of generalized normalized δ-Casorati curvatures for real hypersurfaces in the complex quadric, Arab. J. Math., (2018), in press.
  5. Berndt, J., Suh, Y. J., Real hypersurfaces with isometric Reeb flow in complex quadrics, Internat. J. Math., 24 (2013), 1350050, 18pp.
  6. Blair, D. E., Contact manifolds in Riemannian Geometry. Lecture Notes in Math, 509, Springer-Verlag, Berlin, (1976).
  7. Chen, B. Y., Differential Geometry ofWarped Product Manifolds and Submanifolds,World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ, 2017.
  8. Chen, B. Y., Geometry of warped products as Riemannian submanifolds and related problem, Soochow J. Math., 28 (2002), 125-157.
  9. Chen, B. Y., Some pinching and classification theorems for minimal submanifolds, Arch. Math. (Basel), 60 (1993), 568-578.
  10. Chen, B. Y., A Riemannian invariant and its applications to submanifold theory, Result. Math., 27 (1995), 17-26.
  11. Chen, B. Y., Ideal Lagrangian immersions in complex space forms, Math. Proc. Cambridge Philos. Soc., 128 (2000), 511-533.
  12. Chern, S. S., Minimal Submanifolds in a Riemannian Manifold, University of Kansas Press, (1968).
  13. Cioroboiu, D., Chen, B. Y., inequalities for semi-slant submanifolds in Sasakian space forms, Int. J. Math. Math. Sci, 27 (2003), 1731-1738.
  14. Hayden, H. A., Subspaces of a space with torsion, Proc. Lond. Math. Soc., 34 (1932), 27-50.
  15. Mihai, A., Özgür, C., Chen inequalities for submanifolds of real space forms with a semi-symmetric metric connection, Taiwanese J. Math., 14 (2010), 1465-1477.
  16. Reckziegel, H., On the geometry of the complex quadric, in:Geometry and Topology of Submanifolds VIII (Brussels/Nordfjordeid 1995), World Sci. Publ., River Edge, NJ, (1995), 302-315.
  17. Suh, Y. J., Real hypersurfaces in the complex quadric with parallel Ricci tensor, Advances in Mathematics, 281 (2015), 886-905.
  18. Suh, Y. J., Real hypersurfaces in the complex quadric with Reeb parallel shape operator, Internat. J. Math., 25 (2014), 1450059, 17pp.
  19. Suh, Y. J., Psuedo-Einstein real hypersurfaces in the complex quadric, Math. Nachr., 290 (2017), no. 11-12, 1884-1904.
  20. Yano, K., On semi-symmetric metric connection, Rev. Roumaine Math. Pures Appl., 15 (1970), 1579-1586.
  21. Reckziegel, H., On the geometry of the complex quadric, in:Geometry and Topology of Submanifolds VIII (Brussels/Nordfjordeid 1995), World Sci. Publ., River Edge, NJ, (1995), 302-315.