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Heat equation and the volume of tubes. (English) Zbl 0293.35035


MSC:

35K05 Heat equation
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References:

[1] Allendoerfer, C.B.: The Euler number of a Riemannian manifold. Amer. J. Math.62, 243-248 (1940). · Zbl 0024.35101 · doi:10.2307/2371450
[2] Atiyah, M., Bott, R., Patodi, V.K.: On the heat equation and index theorem. Inventiones mat.19, 279-330 (1973) · Zbl 0257.58008 · doi:10.1007/BF01425417
[3] Chern, S.S.: On curvature and characteristic classes of a Riemannian manifold. Universität Hamburg, Math. Sem.20, 117-126 (1955) · Zbl 0066.17003 · doi:10.1007/BF02960745
[4] Gilkey, P.: Ph. D. Thesis, Harvard University, 1972
[5] Patodi, V.K.: Curvature and the Eigenforms of the Laplace Operator. J. Differential Geometrie5, 233-249 (1971) · Zbl 0211.53901
[6] Patodi, V.K.: Curvature and the fundamental solution of the heat operator. J. Indian Math. Soc.34, 269-285 (1970) · Zbl 0237.53039
[7] Weyl, H.: On the volume of tubes. Amer. J. Math.61, 461-472 (1939) · JFM 65.0796.01 · doi:10.2307/2371513
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