Skip to main content
Log in

On generalized cylindrical helices and Lagrangian surfaces of R 4

  • Published:
Journal of Geometry Aims and scope Submit manuscript

Abstract

We give the representation formula of a generalized cylindrical helices of R 4 and the relationship between generalized cylindrical helices and Lagrangian surfaces of R 4.

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. Laugwitz D.: Differential and Riemannian Geometry. Academic Press, New York (1965)

    MATH  Google Scholar 

  2. O’Neill B.: Elementary Differential Geometry, Revised second edition. Elsevier/Academic Press, Amsterdam (2006)

    Google Scholar 

  3. Oprea, J.: Differential Geometry and its Applications, 2nd edn. Classroom Resource Materials Series. Mathematical Associaton of America, Washington, DC (2007)

  4. Theodor, B., Tom Dieck, T.: Representations of Compact Lie Groups. Graduate Texts in Mathematics, vol. 98. Springer, New York (1995)

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Hideya Hashimoto.

Additional information

The first author is partially supported by JSPS KAKENHI Grant Number 15K04860.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Hashimoto, H., Ohashi, M. On generalized cylindrical helices and Lagrangian surfaces of R 4 . J. Geom. 106, 405–420 (2015). https://doi.org/10.1007/s00022-015-0273-3

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00022-015-0273-3

Mathematics Subject Classification

Keywords

Navigation