Skip to main content
Log in

Slant Submanifolds of Para-Hermitian Manifolds

  • Published:
Mediterranean Journal of Mathematics Aims and scope Submit manuscript

Abstract

In this paper, we introduce the notion of slant submanifolds of a para-Hermitian manifold. We study their first properties and present a whole gallery of examples.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Alegre, P.: Slant submanifolds of Lorentzian Sasakian and para Sasakian manifolds. Taiwan. J. Math. 17, 897–910 (2013)

    Article  MathSciNet  MATH  Google Scholar 

  2. Arslan, K., Carriazo, A., Chen, B.-Y., Murathan, C.: On slant submanifolds of neutral Kaehler manifolds. Taiwan. J. Math. 14(2), 561–584 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  3. Cabrerizo, J.L., Carriazo, A., Fernández, L.M., Fernández, M.: Slant submanifolds in Sasakian manifolds. Glasg. Math. J. 42, 125–138 (2000)

    Article  MathSciNet  MATH  Google Scholar 

  4. Carriazo, A., Pérez-García, M.J.: Slant submanifolds in neutral almost contact pseudo-metric manifolds. Differ. Geom. Appl 54(Part A), 71–80 (2017)

    Article  MathSciNet  MATH  Google Scholar 

  5. Chen, B.-Y.: Slant inmersions. Bull. Aust. Math. Soc. 41, 135–147 (1990)

    Article  Google Scholar 

  6. Chen, B.-Y., Garay, O.: Classification of quasi-minimal surfaces with parallel mean curvature vector in pseudo-Euclidean 4-space \(\mathbb{E}^4_2\). Results Math. 55, 23–38 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  7. Chen, B.-Y., Mihai, I.: Classification of quasi-minimal slant surfaces in Lorentzian complex space forms. Acta Math. Hung. 122, 307–328 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  8. Gunduzalp, Y.: Neutral slant submanifolds of a para-Kaehler manifold. Hindawi Publishing Corporation Abstract and Applied Analysis, vol 2013, Article ID 752650. doi:10.1155/2013/752650

  9. Khan, M.A., Singh, K., Khan, V.A.: Slant submanifolds of LP-contact manifolds. Differ. Geom. Dyn. Syst. 12, 102–108 (2010)

    MathSciNet  MATH  Google Scholar 

  10. Sahin, B.: Slant submanifolds of an almost product Riemannian manifold. J. Korean Math. Soc. 43(4), 717–732 (2006)

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Pablo Alegre.

Additional information

Both authors are partially supported by the MINECO-FEDER Grant MTM2014-52197-P. They are members of the PAIDI group FQM-327 (Junta de Andalucía, Spain). The second author is also a member of the Instituto de Matemáticas de la Universidad de Sevilla (IMUS).

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Alegre, P., Carriazo, A. Slant Submanifolds of Para-Hermitian Manifolds. Mediterr. J. Math. 14, 214 (2017). https://doi.org/10.1007/s00009-017-1018-3

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s00009-017-1018-3

Mathematics Subject Classification

Keywords

Navigation