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  Bottom of spectra and amenability of coverings

Ballmann, W., Matthiesen, H., & Polymerakis, P. (2020). Bottom of spectra and amenability of coverings. In J. Chen (Ed.), Geometric Analysis (pp. 17-35). Cham: Birkhäuser.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0006-81CA-4 Version Permalink: https://hdl.handle.net/21.11116/0000-000E-1273-C
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 Creators:
Ballmann, Werner1, Author           
Matthiesen, Henrik1, Author           
Polymerakis, Panagiotis1, Author           
Affiliations:
1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Differential Geometry, Spectral Theory
 Abstract: For a Riemannian covering $\pi\colon M_1\to M_0$, the bottoms of the spectra
of $M_0$ and $M_1$ coincide if the covering is amenable. The converse
implication does not always hold. Assuming completeness and a lower bound on
the Ricci curvature, we obtain a converse under a natural condition on the
spectrum of $M_0$.

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Language(s): eng - English
 Dates: 2020
 Publication Status: Issued
 Pages: 19
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: arXiv: 1803.07353
DOI: 10.1007/978-3-030-34953-0_2
 Degree: -

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Title: Geometric Analysis
  Subtitle : in Honor of Gang Tian's 60th Birthday
Source Genre: Book
 Creator(s):
Chen, Jingyi , Editor
Affiliations:
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Publ. Info: Cham : Birkhäuser
Pages: x, 616 S. Volume / Issue: - Sequence Number: - Start / End Page: 17 - 35 Identifier: DOI: 10.1007/978-3-030-34953-0
ISBN: 978-3-030-34952-3
ISBN: 978-3-030-34953-0

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Title: Progress in Mathematics
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Pages: - Volume / Issue: 333 Sequence Number: - Start / End Page: - Identifier: -