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Curvature and the eigenvalues of the Laplacian for elliptic complexes. (English) Zbl 0259.58010

##### MSC:
 58J10 Differential complexes 35N15 $$\overline\partial$$-Neumann problems and formal complexes in context of PDEs 35K05 Heat equation
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##### References:
 [1] Atiyah, M.F; Bott, R; Shapiro, A, Clifford modules, Topology, 3, Suppl. 1, 3-38, (1964) · Zbl 0146.19001 [2] Atiyah, M.F; Singer, I.M, The index of elliptic operators. III, Ann. math., 87, 546-604, (1968) · Zbl 0164.24301 [3] McKean, H.P; Singer, I.M, Curvature and the eigenvalues of the Laplacian, J. differential geometry, 1, 43-69, (1967) · Zbl 0198.44301 [4] Patodi, V.K, Curvature and the eigenforms of the Laplace operator, J. differential geometry, 5, 233-249, (1971) · Zbl 0211.53901 [5] Patodi, V.K, An analytic proof of the Riemann-Roch-Hirzebruch theorem for Kaehler manifolds, J. differential geometry, 5, 251-283, (1971) · Zbl 0219.53054 [6] Seeley, R.T, Complex powers of an elliptic operator, (), 288-307 · Zbl 0159.15504 [7] Seeley, R.T, Topics in pseudo-differential operators, Cime, 167-305, (1968) · Zbl 0135.37102 [8] Weyl, H, The classical groups, (1946), Princeton Univ. Press Princeton, NJ · JFM 65.0058.02
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