Recursion relations and the asymptotic behavior of the eigenvalues of the laplacian
Compositio Mathematica, Tome 38 (1979) no. 2, pp. 201-240.
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     author = {Gilkey, Peter B.},
     title = {Recursion relations and the asymptotic behavior of the eigenvalues of the laplacian},
     journal = {Compositio Mathematica},
     pages = {201--240},
     publisher = {Sijthoff et Noordhoff International Publishers},
     volume = {38},
     number = {2},
     year = {1979},
     mrnumber = {528840},
     zbl = {0405.58050},
     language = {en},
     url = {http://www.numdam.org/item/CM_1979__38_2_201_0/}
}
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Gilkey, Peter B. Recursion relations and the asymptotic behavior of the eigenvalues of the laplacian. Compositio Mathematica, Tome 38 (1979) no. 2, pp. 201-240. http://www.numdam.org/item/CM_1979__38_2_201_0/

[1] M. Atiyah, R. Bott and V.K. Patodi: On the heat equation and the index theorem. Invent. Math. 19 (1973) 279-330. | MR | Zbl

[2] M. Atiyah, R. Bott and A. Shapiro: Clifford Modules. Topology 3 (1963) 3-38. | MR | Zbl

[3] M. Atiyah, V.K. Patodi and I.M. Singer: Spectral asymmetry and Riemannian geometry. Bull. Lond. Math. Soc. 5 (1973) 229-234. | MR | Zbl

[4] M. Berger: Sur le spectre d'une variété Riemannienne. C.R. Acad. Sci. Paris 263 (1963) 13-16. | Zbl

[5] S. Chern: A simple intrinsic proof of the Gauss-Bonnet formula for closed Riemannian manifolds. Ann. Math. 45 (1944) 747-752. | MR | Zbl

[6] H. Donnely and V.K. Patodi: Spectrum and fixed point set of isometries II. Topology 16 (1977) 1-12. | MR | Zbl

[7] D. Epstein: Natural Tensors on Riemannian Manifolds. J. Diff. Geo 10 (1973) 631-646. | MR | Zbl

[8] P. Gilkey: Curvature and the eigenvalues of the Laplacian for elliptic complexes. Advances in Math. 10 (1973) 344-382. | MR | Zbl

[9] P. Gilkey: Spectral Geometry of a Riemannian Manifold. J. Diff. Geo. 10 (1975) 601-618. | MR | Zbl

[10] P. Gilkey: Spectral Geometry of real and complex manifolds. Proc. Symp. Pure and App. Math. 27 (1975) 265-280. | MR | Zbl

[11] P. Gilkey: Spectral Geometry of symmetric spaces. AMS transactions 225 (1977) 341-353. | MR | Zbl

[12] P. Gilkey: Lefschetz formulas and the heat equation (to appear).

[13] P. Gilkey: Spectral geometry and the Lefschetz formulas for a holomorphic isometry of an almost complex manifold (to appear).

[14] P. Gilkey: The Boundary Integrand in the formula for the Signature and Euler characteristic of a Riemannian manifold with boundary. Advances in Math. 15 (1975) 334-360. | MR | Zbl

[15] P. Gilkey: Local invariants of a pseudo-Riemannian manifold. Math. Scand. 36 (1975) 109-130. | MR | Zbl

[15a] P. Gilkey: Curvature and the heat equation for the Delham complex (to appear).

[16] P. Greiner: An asymptotic expansion for the heat equation. Arch. Rat. Mech. Anal. 41 (1971) 163-218. | MR | Zbl

[17] T. Kawasaki: The Signature Theorem for V-Manifolds (to appear in Topology). | MR | Zbl

[18] G. Louchard: Mouvement Brownian et Valeurs propres du Laplacian. Ann. Inst. Henri Poincaré, vol. IV (1968) 331-342. | Numdam | MR | Zbl

[19] H.P. Mckean and V. Vanmoerbeke: The spectrum of Hill's equation. Invent. Math. 30 (1975) 217-274. | MR | Zbl

[20] H.P. Mckean and I.M. Singer: Curvature and the eigenforms of the Laplacian. J. Diff. Geo. 1 (1967) 43-69. | MR | Zbl

[21] V.K. Patodi: Curvature and the eigenforms of the Laplace operator. J. Diff. Geo. 5 (1971) 233-249. | MR | Zbl

[22] V.K. Patodi: Curvature and the fundamental solution of the heat equation. J. Indian Math. Soc. 34 (1970) 269-285. | MR | Zbl

[23] T. Sakai: On the eigenvalues of the Laplacian and curvature of Riemannian manifold. Tohuku Math. J. 23 (1971) 585-603. | MR | Zbl

[24] R.T. Seeley: Complex powers of an elliptic operator. Proc. Symp. Pure and App. Math. 10 (1967) 288-307. | MR | Zbl

[25] R.T. Seeley: Singular integrals and boundary problems. Amer. J. Math. 88 (1966) 781-809. | MR | Zbl

[26] P. Stredder: Natural differential operators on Riemannian manifolds and representations of the orthogonal and special orthogonal group. J. Diff. Geo. 10 (1975) 647-660. | MR | Zbl

[27] H. Weyl: The classical groups. Princeton University Press, Princeton N.J. 1946 (USA). | JFM | Zbl