The fundamental group and the spectrum of the laplacian
Tóm tắt
Từ khóa
Tài liệu tham khảo
—,Some Remarks on Bounded Cohomology, Ann. Math. Studies97 (1980), 53–63.
J. Cheeger,A Lower Bound for the Smallest Eigenvalue of the Laplacian, in Gunning,Problems in Analysis (1970), 195–199.
J. Cheeger andS. T. Yau,A Lower Bound for the Heat Kernel, preprint.
S. Y. Cheng andS. T. Yau,Differential Equations on Riemannian Manifolds and their Geometric Applications, Comm. Pure and Appl. Math.,28 (1975), 333–354.
H. Donnelly,Asymptotic Expansions for the Compact Quotients of Properly Discontinuous Group Actions, Ill. J. of Math.23 (1979), 485–496.
P. Eberlein,Some Properties of the Fundamental Group of a Fuchsian Manifold, Inventiones Math.19 (1973), 5–13.
F. Eisenberg, Ph.D. thesis, Stony Brook (1979).
F. P. Greenleaf,Invariants Means on Topological Groups and their Applications, von Nostrand, Reinhold & Co., 1969.
M. Hirsch andW. Thurston,Foliated Bundles, Invariant Measures, and Flat Manifolds, Ann. Math.101 (1975), 369–390.
H. P. McKean,An Upper Bound to the Spectrum of Δ on a Manifold of Negative Curvature, J. Diff. Geometry4 (1970), 359–366.
H. Federer,Geometric Measure Theory, Springer Verlag (1969).
H. B. Lawson,Minimal Varieties in Real and Complex Geometry, Séminaire de Mathématiques Superieures, vol. 57, Université de Montréal, 1974.