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


58J10 Differential complexes
35N15 \(\overline\partial\)-Neumann problems and formal complexes in context of PDEs
35K05 Heat equation
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[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, (Amer. Math. Soc., Proc. Symp. Pure Math., 10 (1967)), 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 Univ. Press Princeton, NJ
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