Bottom of spectra and amenability of coverings

Autor:	Henrik Matthiesen, Panagiotis Polymerakis, Werner Ballmann
Jazyk:	angličtina
Rok vydání:	2020
Předmět:	Pure mathematics Spectral theory Differential geometry Completeness (order theory) High Energy Physics::Lattice Converse Spectrum (functional analysis) High Energy Physics::Phenomenology Converse implication Mathematics::Differential Geometry Upper and lower bounds Ricci curvature Mathematics
Zdroj:	Geometric Analysis Progress in Mathematics Geometric Analysis ISBN: 9783030349523
Popis:	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 $M_0$.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7e0b7ee7ba9e21901fefc08614bc2153 https://hdl.handle.net/21.11116/0000-0006-81CA-421.11116/0000-0006-81CC-221.11116/0000-0006-81CD-1 Zobrazit plný text záznamu