Skip to main content
SpringerLink
Log in

An integral formula in differential geometry via mixed exterior algebra

  • Published:
manuscripta mathematica Aims and scope Submit manuscript

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

References

  1. I. Bivens,Integral formulas and hyperspheres in a simply connected space form, Proc. Amer. Math. Soc.88(1983), no. 1, pp. 113–118

    Article  MATH  MathSciNet  Google Scholar 

  2. Chen Wei-huan,Some integral formulas on submanifolds in Euclidean space, Proc. of Beijing Symp. on Diff. Geom. and Diff. Equa.,3(1980), pp. 1127–1140

    Google Scholar 

  3. Andrzej Derdziński & Chun-Li Shen,Codazzi tensor fields, curvature and Pontryagin forms, Proc. London Soc. (3),47(1983), pp. 15–26

    Article  Google Scholar 

  4. W. Greub, Multilinear Algebra, 2nd Edition, Springer-Verlag New York Inc., 1978

  5. W. Greub, S. Halperin & J.R. Vanstone, Connections, Curvatures, and Cohomology, Vol.1, Academic Press, 1972

  6. W. Greub, S. Halperin & J.R. Vanstone, Connections, Curvatures, and Cohomology, Vol.2, Academic Press, 1972

  7. C.C. Hsiung, J.D. Liu & S.S. Mittra,Integral formulas for closed submanifolds of a Riemannian manifold, J. Diff. Geom.,12(1977), pp.133–151

    MATH  MathSciNet  Google Scholar 

  8. S. Kobayashi & K. Nomizu, Foundation of Differential Geometry, Vol.2, John Wiley & Sons, 1963

  9. A. Leung & J.R. Vanstone,Codazzi tensors and integral formulae, C.R. Math. Rep. Acad. Sci. Canada,9(1987), no. 4, pp.195–197

    MATH  MathSciNet  Google Scholar 

  10. Li An-min,Integral formulas for submanifolds in Euclidean space and their applications to uniqueness theorem, Chin. Ann. of Math. Series B,4(1985), pp.445–452

    Google Scholar 

  11. V. Oliker & U. Simon,Codazzi tensors and equations of Monge-Ampère type on compact manifolds of constant sectional curvature, J. reine angew Math.,342(1983), pp.35–36

    MATH  MathSciNet  Google Scholar 

  12. R. Reilly,Variational properties of mean curvatures, Canadian Math. Congress, Proc. 13th Biennial Sem.,2(1972), pp.102–114

    MathSciNet  Google Scholar 

  13. W. Strübing,On integral formulas for submanifolds of spaces of constant curvature and some applications, Manuscripta Math.,49(1984), pp.177–194

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, University of Toronto, M5S 1A1, Toronto, Ontario, Canada

    Allen Y. Leung & J. R. Vanstone

Authors
  1. Allen Y. Leung
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. J. R. Vanstone
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Leung, A.Y., Vanstone, J.R. An integral formula in differential geometry via mixed exterior algebra. Manuscripta Math 78, 69–83 (1993). https://doi.org/10.1007/BF02599301

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02599301

Keywords

Search

Navigation