Skip to main content

The heat equation in riemannian geometry

Part of the Lecture Notes in Mathematics book series (LNM,volume 431)

This is a preview of subscription content, access via your institution.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. M.F. Atiyah and R. Bott, A Lefschetz fixed-point formula for elliptic complexes I, Ann. of Math. 86 (1967), 374–407.

    CrossRef  MATH  MathSciNet  Google Scholar 

  2. M.F. Atiyah, R. Bott and V.K. Patodi, On the heat equation and the index theorem, Inventiones Math. 19 (1973), 279–330.

    CrossRef  MATH  MathSciNet  Google Scholar 

  3. M.F. Atiyah, V.K. Patodi, and I.M. Singer, Spectral asymmetry and Riemannian geometry, Bull. London Math. Soc. 5 (1973), 229–234.

    MATH  MathSciNet  Google Scholar 

  4. M.F. Atiyah and I.M. Singer, The index of elliptic operators I, Ann. of Math. 87 (1968), 484–530.

    CrossRef  MATH  MathSciNet  Google Scholar 

  5. P. Gilkey, Curvature and the eigenvalues of the Laplacian for elliptic complexes, Advances in Mathematics (to appear).

    Google Scholar 

  6. V.K. Patodi, Curvature and the eigenforms of the Laplace operator, J. Doff. Geometry 5 (1971), 233–249.

    MATH  MathSciNet  Google Scholar 

  7. V.K. Patodi, An alalytic proof of the Riemann-Roch-Hirzebruch theorem for Kaehler manifolds, J.Diff. Geometry 5 (1971), 251–283.

    MATH  MathSciNet  Google Scholar 

Download references

Authors

Rights and permissions

Reprints and Permissions

Copyright information

© 1975 N. Bourbaki

About this paper

Cite this paper

Atiyan, M.F. (1975). The heat equation in riemannian geometry. In: Séminaire Bourbaki vol. 1973/74 Exposés 436–452. Lecture Notes in Mathematics, vol 431. Springer, Berlin, Heidelberg . https://doi.org/10.1007/BFb0066361

Download citation

  • DOI: https://doi.org/10.1007/BFb0066361

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07023-8

  • Online ISBN: 978-3-540-37310-0

  • eBook Packages: Springer Book Archive