No Cover Image

Journal article 172 views

Positively curved Riemannian orbifolds and Alexandrov spaces with circle symmetry in dimension 4

John Harvey Orcid Logo, Catherine Searle

arXiv, Pages: 1889 - 1927

Swansea University Author: John Harvey Orcid Logo

Full text not available from this repository: check for access using links below.

DOI (Published version): 10.25537/dm.2021v26.1889-1927

Abstract

We classify positively curved Alexandrov spaces of dimension 4 with an isometric circle action up to equivariant homeomorphism, subject to a certain additional condition on the infinitesimal geometrynear fixed points which we conjecture is always satisfied.As a corollary, we also classify positively...

Full description

Published in: arXiv
Published: Preprint article before certification by peer review. 2021
URI: https://cronfa.swan.ac.uk/Record/cronfa58500
Tags: Add Tag
No Tags, Be the first to tag this record!
first_indexed 2021-10-28T14:02:29Z
last_indexed 2022-03-18T04:26:07Z
id cronfa58500
recordtype SURis
fullrecord <?xml version="1.0"?><rfc1807><datestamp>2022-03-17T12:44:20.2003715</datestamp><bib-version>v2</bib-version><id>58500</id><entry>2021-10-28</entry><title>Positively curved Riemannian orbifolds and Alexandrov spaces with circle symmetry in dimension 4</title><swanseaauthors><author><sid>1a837434ec48367a7ffb596d04690bfd</sid><ORCID>0000-0001-9211-0060</ORCID><firstname>John</firstname><surname>Harvey</surname><name>John Harvey</name><active>true</active><ethesisStudent>false</ethesisStudent></author></swanseaauthors><date>2021-10-28</date><deptcode>SMA</deptcode><abstract>We classify positively curved Alexandrov spaces of dimension 4 with an isometric circle action up to equivariant homeomorphism, subject to a certain additional condition on the infinitesimal geometrynear fixed points which we conjecture is always satisfied.As a corollary, we also classify positively curved Riemannian orbifolds of dimension 4 with an isometric circle action.</abstract><type>Journal Article</type><journal>arXiv</journal><volume/><journalNumber/><paginationStart>1889</paginationStart><paginationEnd>1927</paginationEnd><publisher>Preprint article before certification by peer review.</publisher><placeOfPublication/><isbnPrint/><isbnElectronic/><issnPrint/><issnElectronic/><keywords>Alexandrov geometry, positive curvature, groups of isometry</keywords><publishedDay>8</publishedDay><publishedMonth>10</publishedMonth><publishedYear>2021</publishedYear><publishedDate>2021-10-08</publishedDate><doi>10.25537/dm.2021v26.1889-1927</doi><url/><notes>Preprint article before certification by peer review.</notes><college>COLLEGE NANME</college><department>Mathematics</department><CollegeCode>COLLEGE CODE</CollegeCode><DepartmentCode>SMA</DepartmentCode><institution>Swansea University</institution><apcterm/><lastEdited>2022-03-17T12:44:20.2003715</lastEdited><Created>2021-10-28T14:58:57.4307802</Created><path><level id="1">Faculty of Science and Engineering</level><level id="2">School of Mathematics and Computer Science - Mathematics</level></path><authors><author><firstname>John</firstname><surname>Harvey</surname><orcid>0000-0001-9211-0060</orcid><order>1</order></author><author><firstname>Catherine</firstname><surname>Searle</surname><order>2</order></author></authors><documents/><OutputDurs/></rfc1807>
spelling 2022-03-17T12:44:20.2003715 v2 58500 2021-10-28 Positively curved Riemannian orbifolds and Alexandrov spaces with circle symmetry in dimension 4 1a837434ec48367a7ffb596d04690bfd 0000-0001-9211-0060 John Harvey John Harvey true false 2021-10-28 SMA We classify positively curved Alexandrov spaces of dimension 4 with an isometric circle action up to equivariant homeomorphism, subject to a certain additional condition on the infinitesimal geometrynear fixed points which we conjecture is always satisfied.As a corollary, we also classify positively curved Riemannian orbifolds of dimension 4 with an isometric circle action. Journal Article arXiv 1889 1927 Preprint article before certification by peer review. Alexandrov geometry, positive curvature, groups of isometry 8 10 2021 2021-10-08 10.25537/dm.2021v26.1889-1927 Preprint article before certification by peer review. COLLEGE NANME Mathematics COLLEGE CODE SMA Swansea University 2022-03-17T12:44:20.2003715 2021-10-28T14:58:57.4307802 Faculty of Science and Engineering School of Mathematics and Computer Science - Mathematics John Harvey 0000-0001-9211-0060 1 Catherine Searle 2
title Positively curved Riemannian orbifolds and Alexandrov spaces with circle symmetry in dimension 4
spellingShingle Positively curved Riemannian orbifolds and Alexandrov spaces with circle symmetry in dimension 4
John Harvey
title_short Positively curved Riemannian orbifolds and Alexandrov spaces with circle symmetry in dimension 4
title_full Positively curved Riemannian orbifolds and Alexandrov spaces with circle symmetry in dimension 4
title_fullStr Positively curved Riemannian orbifolds and Alexandrov spaces with circle symmetry in dimension 4
title_full_unstemmed Positively curved Riemannian orbifolds and Alexandrov spaces with circle symmetry in dimension 4
title_sort Positively curved Riemannian orbifolds and Alexandrov spaces with circle symmetry in dimension 4
author_id_str_mv 1a837434ec48367a7ffb596d04690bfd
author_id_fullname_str_mv 1a837434ec48367a7ffb596d04690bfd_***_John Harvey
author John Harvey
author2 John Harvey
Catherine Searle
format Journal article
container_title arXiv
container_start_page 1889
publishDate 2021
institution Swansea University
doi_str_mv 10.25537/dm.2021v26.1889-1927
publisher Preprint article before certification by peer review.
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Mathematics and Computer Science - Mathematics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Mathematics and Computer Science - Mathematics
document_store_str 0
active_str 0
description We classify positively curved Alexandrov spaces of dimension 4 with an isometric circle action up to equivariant homeomorphism, subject to a certain additional condition on the infinitesimal geometrynear fixed points which we conjecture is always satisfied.As a corollary, we also classify positively curved Riemannian orbifolds of dimension 4 with an isometric circle action.
published_date 2021-10-08T04:15:04Z
_version_ 1763754015180455936
score 11.028798

Similar Items