Skip to main content
Log in

A rigidity theorem for higher codimensions

  • Published:
Mathematische Annalen 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. Allendoerfer, C.B.: Rigidity for spaces of class greater than one. Am. J. Math.61, 633–644 (1939)

    Google Scholar 

  2. Beez, R.: Zur Theorie der Krümmungsmasse von Mannigfaltigkeiten höherer Ordnung. Z. Math. Phys.21, 373–401 (1876)

    Google Scholar 

  3. do Carmo, M., Dajczer, M.: Conformal rigidity. Preprint

  4. Dajczer, M., Gromoll, D.: On spherical submanifolds with nullity. Proc. AMS93, 99–100 (1985)

    Google Scholar 

  5. Ferus, D.: On the completeness of nullity foliations. Mich. Math. J.18, 61–64 (1971)

    Google Scholar 

  6. Ferus, D.: The rigidity of complete hypersurfaces. preprint

  7. Killing, W.: Die Nicht-euklidischen Raumformen in Analytischer Behandlung. Leipzig: Teubner 1885

    Google Scholar 

  8. Moore, J.D.: Submanifolds of constant positive curvature I. Duke Math. J.44, 449–489 (1977)

    Google Scholar 

  9. Nomizu, K.: Uniqueness of the normal connections and congruence of isometric immersions. Tohoku Math. J.28, 613–617 (1976)

    Google Scholar 

  10. Sacksteder, R.: The rigidity of hypersurfaces. J. Math. Mech.11 929–940 (1962)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

do Carmo, M., Dajczer, M. A rigidity theorem for higher codimensions. Math. Ann. 274, 577–583 (1986). https://doi.org/10.1007/BF01458592

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01458592

Keywords

Navigation