References
Ballmann, W., Gromov, M., Schroeder, V.: Manifolds of nonpositive curvature. (Prog. Math., vol. 61) Boston Basel Stuttgart: Birkhäser 1985
Bott, R., Tu, L.W.: Differential, forms in algebraic topology. Berlin Heidelberg New York: Springer 1982
Buser, P.: On Cheeger's inequality λ1 ≧h 2/4. In: Osserman, R., Weinstein, A. (eds.) Geometry of the Laplace operator. (Proc. Symp. Pure Math., vol. 36 pp. 29–77) Providence, RI: Am. Math. Soc. 1980
Buser, P., Colbois, B., Dodziuk, J.: tubes and eigenvalues for negatively curved manifolds. (Preprint)
Chavel, I.: Eigenvalues in Riemannian geometry. New York London: Academic Press 1984
Cheeger, J.: On the Hodge theory of Riemannian manifolds. In: Osserman, R., Weinstein, A. (eds.) Geometry of the Laplace operator. (Proc. Symp. Pure Math., vol. 36, pp. 91–146) Providence, RI: Am. Math. Soc. 1980
Cheeger, J.: Spectral geometry of singular Riemannian spaces. J. Differ. Geom.18, 575–657 (1983)
Colbois, B., Courtois, G.: A note on the first nonzero eigenvalue of the Laplacian acting onp-forms. Manuscr. Math.64, 143–160 (1990)
Colbois, B., Courtois, G.: Convergence de variétés et convergence du spectre du Laplacian. Ann. Sci. Éc. Norm. Supér.4, 507–518 (1991)
Conner, P.E.: The Neumann problem for differential forms on Riemannian manifolds. Mem. Am. Math. Soc.20 (1956)
de Rham, G.: Variétés différentiables. Paris: Hermann 1955
Dodziuk, J.: Eigenvalues of the Laplacian on forms. Proc Am. Math. Soc.85, 438–443 (1982)
Dodziuk, J., Randol, B.: Lower bounds for λ1 on a finite-volume hyperbolic manifold. J. Differ. Geom.24, 133–139 (1986)
Gaffney, M.P.: The harmonic operator for exterior differential forms. Proc. Natl. Acad. Sci.37, 48–50 (1951)
Gilkey, P.B.: The index theorem and the heat equation. Wilmington: Pubish or Perish 1974
Gromov, M.: Hyperbolic manifolds according to Thurston and Jørgensen. In: Sem. Bourbaki, vol. 546. (Lect. Notes Math., vol. 842, pp. 40–53) Berlin Heidelberg Ney York: Springer 1979
Mazzeo, R., Phillips, R.: Hodge theory on hyperbolic manifolds. Duke Math. J.60, 509–559 (1990)
Payne, L.E., Weinberger, H.F.: An optimal Poincaré inequality for convex domains. Arch. Ratio. Mech. Anal.5, 286–292 (1960)
Ray, D.B., Singer, I.M.:R-torsion and the Laplacian on Riemannian manifolds. Adv. Math.7, 145–210 (1971)
Schoen, R.: A lower bound for the first eigenvalue of a negatively curved manifold. J. Differ. Geom.17, 233–238 (1982)
Schoen, R., Wolpert, S., Yau, S.T.: Geometric bounds on the low eigenvalues of a compact surface. In: Osserman, R., Weinstein, A. (eds.) Geometry of the Laplace operator. (Proc. Symp. Pure Math., vol. 36, pp. 279–285) Providence, RI: Am. Math. Soc. 1980
Thurston, W.: The geometry and topology of 3-manifolds. Lecture Notes, Dept. of Math. Princeton, NJ: Princeton University 1980