Collapsing and the differential form Laplacian: The case of a smooth limit space

Duke Mathematical Journal

Volumn 114, Issue 2, 2002, Pages 267-306

  Lott, John ^a  

^a UNIVERSITY OF MICHIGAN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037104046     PISSN: 00127094     EISSN: None     Source Type: Journal    
DOI: 10.1215/S0012-7094-02-11424-0     Document Type: Article

References (30)

1. α-compactness for manifolds with Ricci curvature and injectivity radius bounded below
2. Stability of spectra of Hodge-de Rham Laplacians
3. From vanishing theorems to estimating theorems: The Bochner technique revisited
4. Heat kernels and dirac operators
5. Quillen metrics and higher analytic torsion forms
6. Einstein manifolds
7. The Atiyah-Singer index theorem for families of Dirac operators: Two heat equation proofs
8. Flat vector bundles, direct images and higher real analytic torsion
9. Gromov's almost flat manifolds
10. On the lowest eigenvalue of the Hodge Laplacian
11. A lower bound for the smallest eigenvalue of the Laplacian
12. Nilpotent structures and invariant metrics on collapsed manifolds
13. Collapsing Riemannian manifolds while keeping their curvature bounded, I
14. A note on the first nonzero eigenvalue of the Laplacian acting on p-forms
15. 1-fibrés
16. Adiabatic limits, nonmultiplicativity of signature, and Leray spectral sequence
17. Eigenvalues of the Laplacian on forms
18. Spectral sequences and adiabatic limits
19. Collapsing of Riemannian manifolds and eigenvalues of Laplace operator
20. Collapsing Riemannian manifolds to ones with lower dimension, II
21. Hausdorff convergence of Riemannian manifolds and its applications
22. Volume and bounded cohomology
23. Metric structures for Riemannian and non-Riemannian spaces
24. Varieties of representations of finitely generated groups
25. The adiabatic limit, Hodge cohomology and Leray's spectral sequence for a fibration
26. Superconnections and the Chern character
27. Discrete subgroups of Lie groups
28. Conjugacy classes of n-tuples in Lie algebras and algebraic groups
29. On the fundamental groups of manifolds of positive sectional curvature