https://m2.mtmt.hu/ hun 2026-04-29 21:14 JournalArticle 33688250 APPROVED true Export Date: 8 March 2023 0 false 2026-02-24T00:41:30.230+0000 2023-05-05T15:08:14.390+0000 2023-03-08T11:31:27.431+0000 true 10084481 Toroczkai Annamária /api/admin/10084481 Admin Toroczkai Annamária (idézők, admin) true 2024-08-29T07:46:43.622+0000 true false true 24 24 /api/publicationtype/24 PublicationType Folyóiratcikk 1 true 24 JournalArticle true 10000059 Article true 24 24 /api/publicationtype/24 PublicationType Folyóiratcikk 1 true 24 JournalArticle /api/subtype/10000059 Szakcikk SubType Szakcikk (Folyóiratcikk) 101 true 10000059 true 1 /api/category/1 Category Tudományos true 1 Abért, M. true true /api/journal/10003185 REVIEWED GEOMETRY & TOPOLOGY 1465-3060 1364-0380 true false 10003185 false 10003185 true 1465-3060 1364-0380 Journal FOREIGN 26 5 2295 2404 2295 110 2022 We study unimodular measures on the space Md of all pointed Riemannian d– manifolds. Examples can be constructed from finite-volume manifolds, from mea-sured foliations with Riemannian leaves, and from invariant random subgroups of Lie groups. Unimodularity is preserved under weak* limits, and under certain geometric constraints (eg bounded geometry) unimodular measures can be used to compactify sets of finite-volume manifolds. One can then understand the geometry of manifolds M with large, finite volume by passing to unimodular limits. We develop a structure theory for unimodular measures on Md, characterizing them via invariance under a certain geodesic flow, and showing that they correspond to transverse measures on a foliated “desingularization” of Md. We also give a geometric proof of a compactness theorem for unimodular measures on the space of pointed manifolds with pinched negative curvature, and characterize unimodular measures supported on hyperbolic 3–manifolds with finitely generated fundamental group. © 2022, Mathematical Sciences Publishers. All rights reserved. 2023 true true true false false GREEN 2026-02-24 true https://doi.org/10.2140/gt.2022.26.2295 18 0 13 6 4 13 13 7 6 9 9 4 4 10 8 0 18 10 13 6 0 7 7 Folyóiratcikk Journal Article 24 7 Könyvrészlet Chapter in Book 25 3 Könyv Book 23 3 Egyéb konferenciaközlemény Conference paper 31 0 Egyéb konferenciakötet Conference proceedings 32 0 Oltalmi formák Protection forms 26 0 Disszertáció Thesis 28 4 Egyéb Miscellaneous 29 1 Alkotás Achievement 22 0 Kutatási adat Research data 33 0 Folyóiratcikk Journal Article 24 0 0 0 Könyvrészlet Chapter in Book 25 0 0 0 Könyv Book 23 0 0 0 Egyéb konferenciaközlemény Conference paper 31 0 0 0 Egyéb konferenciakötet Conference proceedings 32 0 0 0 Oltalmi formák Protection forms 26 0 0 0 Disszertáció Thesis 28 0 0 0 Egyéb Miscellaneous 29 0 0 0 Alkotás Achievement 22 0 0 0 Kutatási adat Research data 33 0 0 0 2017 0 3 0 3 0 2018 0 4 4 4 4 2019 0 0 0 0 0 2020 0 2 2 2 2 2021 0 2 1 2 1 2022 0 1 0 1 0 2023 0 2 0 2 0 2024 0 1 1 1 1 2025 0 3 2 3 2 D1 false 10011747 false false false 2023-06-06T10:35:23.811+0000 Algebra (HRN RAMKI) 1 8 1 2 0 true Language 10002 /api/language/10002 Angol Angol English true 2 true PersonAuthorship 106950272 /api/authorship/106950272 Abért, M. [Abért, Miklós (Csoportelmélet), szerző] Algebra (HRN RAMKI) 1 0.5 true false false Author 10011747 /api/author/10011747 Abért Miklós (Csoportelmélet) Abért Miklós true 10011747 true Abért M. true false false AuthorshipType 1 /api/authorshiptype/1 Szerző 0 true 0 true false true PersonAuthorship 106950273 /api/authorship/106950273 Biringer, I. 2 0.5 false true false Biringer I. true false false AuthorshipType 1 /api/authorshiptype/1 Szerző 0 true 0 true false true PublicationIdentifier 23205217 /api/publicationidentifier/23205217 DOI: 10.2140/gt.2022.26.2295 PlainSource 6 /api/publicationsource/6 DOI PublicationSourceType 10001 /api/publicationsourcetype/10001 DOI true true true DOI DOI https://doi.org/@@@ true true 6 true GREEN true IDENTICAL 10.2140/gt.2022.26.2295 https://doi.org/10.2140/gt.2022.26.2295 false true PublicationIdentifier 23508524 /api/publicationidentifier/23508524 REAL: 165021 SwordSource 36 /api/publicationsource/36 REAL PublicationSourceType 10007 /api/publicationsourcetype/10007 Repozitórium true true true REAL REAL http://real.mtak.hu/@@@ true true 36 true GREEN true 165021 http://real.mtak.hu/165021 false true PublicationIdentifier 23205216 /api/publicationidentifier/23205216 Scopus: 85144224227 PlainSource 3 /api/publicationsource/3 Scopus PublicationSourceType 10003 /api/publicationsourcetype/10003 Indexelő adatbázis false true true Scopus Scopus http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-@@@ true true 3 true IDENTICAL 85144224227 http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85144224227 false true PublicationIdentifier 11572386 /api/publicationidentifier/11572386 arXiv: 1606.03360 PlainSource 37 /api/publicationsource/37 arXiv PublicationSourceType 10007 /api/publicationsourcetype/10007 Repozitórium true true true arXiv http://arxiv.org/abs/@@@ true true 37 true NO 1606.03360 http://arxiv.org/abs/1606.03360 false 13405780 true SjrRating 11308090 /api/sjrrating/11308090 sjr:D1 (2022) Scopus - Geometry and Topology GEOMETRY & TOPOLOGY 1465-3060 1364-0380 5 0.1 journal RatingType 10002 /api/ratingtype/10002 sjr sjr true true ClassificationExternal 2608 /api/classificationexternal/2608 Scopus - Geometry and Topology true 2608 true D1 DIRECT true true Reference 39162116 /api/reference/39162116 1. translated in Funct. 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(2022) GEOMETRY & TOPOLOGY 1465-3060 1364-0380 26 5 2295-2404<div class="JournalArticle Publication long-list"> <div class="authors"> <img title="Forrásközlemény" style="float: left" src="/frontend/resources/grid/publication-core-icon.png"> <img title="Idézőközlemény" style="float: left" src="/frontend/resources/grid/publication-citation-icon.png"> <div class="autype autype0"> <span class="author-name" mtid="10011747"><a href="/gui2/?type=authors&mode=browse&sel=10011747" target="_blank">Abért M. (<span class="authorship-author-name">Abért Miklós</span> <span class="authorAux-mtmt"> Csoportelmélet</span>) </a> </span> <span class="author-affil"><span title="Rényi Alfréd Matematikai Kutatóintézet">RAMKI</span>/Algebra</span> ;&nbsp;&nbsp;&nbsp; <span class="author-name" >Biringer I. </span> </div> </div> <div class="title"><a href="/gui2/?mode=browse&params=publication;33688250" target="_blank">Unimodular measures on the space of all Riemannian manifolds</a></div> <div> <span class="journal-title">GEOMETRY & TOPOLOGY</span> <span class="journal-issn">(<a target="_blank" href="https://portal.issn.org/resource/ISSN/1465-3060">1465-3060</a> <a target="_blank" href="https://portal.issn.org/resource/ISSN/1364-0380">1364-0380</a>)</span>: <span class="journal-volume">26</span> <span class="journal-issue">5</span> <span class="page"> pp 2295-2404 </span> <span class="year">(2022)</span> </div> <div class="pub-footer"> <span class="language" xmlns="http://www.w3.org/1999/html">Nyelv: Angol | </span> <span class="identifiers"> <span class="id identifier oa_GREEN" title=" Green "> <a style="color:blue" title="10.2140/gt.2022.26.2295" target="_blank" href="https://doi.org/10.2140/gt.2022.26.2295"> DOI </a> </span> <span class="id identifier oa_GREEN" title=" Green "> <a style="color:black" title="165021" target="_blank" href="http://real.mtak.hu/165021"> REAL </a> </span> <span class="id identifier oa_none" title="none"> <a style="color:blue" title="85144224227" target="_blank" href="http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85144224227"> Scopus </a> </span> <span class="id identifier oa_none" title="none"> <a style="color:black" title="1606.03360" target="_blank" href="http://arxiv.org/abs/1606.03360"> arXiv </a> </span> </span> <OnlyViewableByAuthor><div class="ratings"> <div class="journal-subject">Folyóirat szakterülete: Scopus - Geometry and Topology&nbsp;&nbsp;&nbsp;SJR indikátor:&nbsp;D1</div> </div></OnlyViewableByAuthor> <div class="publication-citation" style="margin-left: 0.5cm;"> <span title="Nyilvános idézőközlemények összesen, említések nélkül" class="citingPub-count">Nyilvános idéző összesen: 18</span> | Független: 10 | Függő: 8 | Nem jelölt: 0 | WoS jelölt: 7 | Scopus jelölt:&nbsp;6 | WoS/Scopus jelölt:&nbsp;9 | DOI jelölt:&nbsp;13 </div> <div class="publication-citation"> <a target="_blank" href="/api/publication?cond=citations.related;eq;33688250&sort=publishedYear,desc&sort=title"> Idézett közlemények száma: 7 </a> </div> <div class="mtid"><span class="long-pub-mtid">Közlemény: 33688250</span> | <span class="status-data status-APPROVED"> Nyilvános </span> Forrás Idéző | <span class="type-subtype">Folyóiratcikk ( Szakcikk ) </span> | <span class="pub-category">Tudományos</span> | <span class="publication-sourceOfData">Scopus</span> </div> <div class="lastModified">Utolsó módosítás: 2023.05.05. 17:08 Szakonyi Erzsebet (RAMKI admin 4) </div> <pre class="comment" style="margin-top: 0; margin-bottom: 0;"><u>Megjegyzés</u>: Export Date: 8 March 2023</pre> </div></div>