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A note on isoperimetric inequalities of Gromov hyperbolic manifolds and graphs
Author(s):
Martínez Pérez, Alvaro; Rodríguez García, José Manuel
Publisher:
Springer Science and Business Media LLC
Issued date:
2021-06-26
Citation:
Martínez-Pérez, Á., & Rodríguez, J. M. (2021). A note on isoperimetric inequalities of Gromov hyperbolic manifolds and graphs. In Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas (Vol. 115, Issue 3). Springer Science and Business Media LLC.
ISSN:
1579-1505
xmlui.dri2xhtml.METS-1.0.item-contributor-funder:
Comunidad de Madrid
Ministerio de Economía y Competitividad (España)
Universidad Carlos III de Madrid
Ministerio de Economía y Competitividad (España)
Universidad Carlos III de Madrid
Sponsor:
First author supported in part by a Grant from Ministerio de Ciencia, Innovación y Universidades
(PGC2018-098321-B-I00), Spain. Second author supported in part by two Grants from Ministerio de
Economía y Competitividad, Agencia Estatal de Investigación (AEI) and Fondo Europeo de Desarrollo
Regional (FEDER) (MTM2016-78227-C2-1-P and MTM2017-90584-REDT), Spain. Also, the research of
the second author was supported by the Madrid Government (Comunidad de Madrid-Spain) under the
Multiannual Agreement with UC3M in the line of Excellence of University Professors (EPUC3M23), and in
the context of the V PRICIT (Regional Programme of Research and Technological Innovation).
Project:
Gobierno de España. MTM2016-78227-C2-1-P
Comunidad de Madrid.
Gobierno de España. PGC2018-098321-B-I00
Gobierno de España. MTM2017-90584-REDT
Comunidad de Madrid.
Gobierno de España. PGC2018-098321-B-I00
Gobierno de España. MTM2017-90584-REDT
Keywords:
Cheeger Isoperimetric Constant
,
Gromov Hyperbolicity
,
Bounded Local Geometry
,
Pole
Rights:
Copyright © 2021, The Author(s)
Atribución 3.0 España
Atribución 3.0 España
Abstract:
We study in this paper the relationship of isoperimetric inequality and hyperbolicity for
graphs and Riemannian manifolds. We obtain a characterization of graphs and Riemannian
manifolds (with bounded local geometry) satisfying the (Cheeger) isoperimetric in
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A note on isoperimetric inequalities of Gromov hyperbolic manifolds and graphs
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