The heat equation in riemannian geometry

M. F. Atiyah

Séminaire Bourbaki (1973-1974)

  • Volume: 16, page 1-11
  • ISSN: 0303-1179

How to cite


Atiyah, M. F.. "The heat equation in riemannian geometry." Séminaire Bourbaki 16 (1973-1974): 1-11. <>.

author = {Atiyah, M. F.},
journal = {Séminaire Bourbaki},
language = {eng},
pages = {1-11},
publisher = {Springer-Verlag},
title = {The heat equation in riemannian geometry},
url = {},
volume = {16},
year = {1973-1974},

AU - Atiyah, M. F.
TI - The heat equation in riemannian geometry
JO - Séminaire Bourbaki
PY - 1973-1974
PB - Springer-Verlag
VL - 16
SP - 1
EP - 11
LA - eng
UR -
ER -


  1. 1. M.F. Atiyah and R. Bott, A Lefschetz fixed-point formula for elliptic complexes I, Ann. of Math.86 (1967), 374-407. Zbl0161.43201MR212836
  2. 2. M.F. Atiyah, R. Bott and V.K. Patodi, On the heat equation and the index theorem, Inventiones Math.19 (1973), 279-330. Zbl0257.58008MR650828
  3. 3. M.F. Atiyah, V.K. Patodi and I.M. Singer, Spectral asymmetry and Riemannian geometry, Bull. London Math. Soc.5 (1973), 229-234. Zbl0268.58010MR331443
  4. 4. M.F. Atiyah and I.M. Singer, The index of elliptic operators I, Ann. of Math.87 (1968), 484-530. Zbl0164.24001MR236950
  5. 5. P. Gilkey, Curvature and the eigenvalues of the Laplacian for elliptic complexes, Advances in Mathematics (to appear). Zbl0259.58010MR324731
  6. 6. V.K. Patodi, Curvature and the eigenforms of the Laplace operator, J. Diff. Geometry5 (1971), 233-249. Zbl0211.53901MR292114
  7. 7. V. K. Patodi, An analytic proof of the Riemann-Roch-Hirzebruch theorem for Kaehler manifolds, J.Diff. Geometry5 (1971), 251-283. Zbl0219.53054MR290318

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