Skip to main content
Log in

Partial tubes and Chen submanifolds

  • Published:
Journal of Geometry Aims and scope Submit manuscript

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.

References

  1. CARTER, S. and WEST, A.:Partial tubes about immersed manifolds. Geometriae Dedicata54 (1995), 145–169.

    Google Scholar 

  2. CHEN, B.-Y.:Pseudo-umbilical submanifolds of a Riemannian manifold of constant curvature II. J. Math. Soc. Japan25 (1) (1973), 105–114.

    Google Scholar 

  3. CHEN, B.-Y.:Geometry of Submanifolds. Marcel Dekker, New York 1973.

    Google Scholar 

  4. GHEYSENS, L., VERHEYEN, P. and VERSTRAELEN, L.:Sur les surfaces A ou les surfaces de Chen. C.R. Acad. Sc. Paris I292 (1981), 913–916.

    Google Scholar 

  5. GHEYSENS, L., VERHEYEN, P. and VERSTRAELEN, L.:Characterization and Examples of Chen Submanifolds. J. Geometry20 (1983), 47–62.

    Google Scholar 

  6. HOUH, C. S.:On Spherical A-submanifolds. Chinese J. Math.2 (1974), 128–134.

    Google Scholar 

  7. LI, S. J.:Null 2-type Chen surfaces. Glasgow Math. J.37 (1995), 233–242.

    Google Scholar 

  8. ROUXEL, B.:Ruled A-surfaces in Euclidean space E n. Soochow J. of Math.6 (1980), 117–121.

    Google Scholar 

  9. ROUXEL, B.:A-submanifolds in Euclidean space. Kodai Math. J.4 (1981), 181–188.

    Google Scholar 

  10. ROUXEL, B.:Chen submanifolds. Geometry and Topology of Submanifolds, VI, ed. F. Dillen, I. Van de Woestijne, L. Verstraelen, World Scientific, Singapore (1994), 185–198.

    Google Scholar 

  11. VERSTRAELEN, L.:A-surfaces with flat normal connection. J. Korean Math. Soc.15 (1978), 1–7.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

The second author is supported by Istanbul Technical University

Rights and permissions

Reprints and permissions

About this article

Cite this article

Carter, S., Dursun, U. Partial tubes and Chen submanifolds. J Geom 63, 30–38 (1998). https://doi.org/10.1007/BF01221236

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01221236

Navigation