Vanishing of cohomology groups and large eigenvalues of the Laplacian on p-forms

Junya Takahashi

Type: Article

Publication Date: 2004-10-21

Citations: 2

DOI: https://doi.org/10.1007/s00209-004-0735-z

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Locations

Mathematische Zeitschrift - View

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+	Collapsing to Riemannian manifolds with boundary and the convergence of the eigenvalues of the Laplacian	2006	Junya Takahashi
+	Small eigenvalues of the rough and Hodge Laplacians under fixed volume	2024	Colette Anné Junya Takahashi

Works Cited by This (14)

Action	Title	Year	Authors
+	Spectral Geometry, Riemannian Submersions, and the Gromov-Lawson Conjecture	1999	Peter Gilkey John Leahy JeongHyeong Park
+ PDF Chat	Collapsing Riemannian manifolds while keeping their curvature bounded. I	1986	Jeff Cheeger Mikhael Gromov
+ PDF Chat	The adiabatic limit, Hodge cohomology and Leray's spectral sequence for a fibration	1990	Rafe Mazzeo Richard Melrose
+	Spectral sequences and adiabatic limits	1995	Robin Forman
+	Metrics with harmonic spinors	1996	Christian Bär
+	Collapsing and the differential form Laplacian: The case of a smooth limit space	2002	John Lott
+ PDF Chat	Riemannian metrics with large first eigenvalue on forms of degree $p$	1995	Giovanni Gentile V. Pagliara
+	Thep-spectrum of the Laplacian on compact hyperbolic three manifolds	1993	Jeffrey McGowan
+	Eigenvalue comparison theorems and its geometric applications	1975	Shiu‐Yuen Cheng
+ PDF Chat	Adiabatic limits, nonmultiplicativity of signature, and Leray spectral sequence	1991	Xianzhe Dai