On some Grassmannians carrying an even Clifford structure

Differential Geometry and Applications, 59 (2019) 122-137 We give an explicit description of the non-flat parallel even Clifford structures of rank 8, 6, 5 on some real, complex and quaternionic Grassmannians, and discuss the r\^ole of the octonions in them, in particular for some low dimensional ex...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
1. Verfasser: Piccinni, Paolo
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext bestellen
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page
container_issue
container_start_page
container_title
container_volume
creator Piccinni, Paolo
description Differential Geometry and Applications, 59 (2019) 122-137 We give an explicit description of the non-flat parallel even Clifford structures of rank 8, 6, 5 on some real, complex and quaternionic Grassmannians, and discuss the r\^ole of the octonions in them, in particular for some low dimensional examples.
doi_str_mv 10.48550/arxiv.1805.01751
format Article
fullrecord <record><control><sourceid>arxiv_GOX</sourceid><recordid>TN_cdi_arxiv_primary_1805_01751</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>1805_01751</sourcerecordid><originalsourceid>FETCH-LOGICAL-a671-ee6a871824bf9c83a91e67dc6f1d637a846b3026bd22da01fd944fd4356bc6df3</originalsourceid><addsrcrecordid>eNotj7tuwjAUQL0wVNAP6IR_IKkd29fOiCJKKyGxsEc3flSWiKmuAZW_r0o7ne3oHMZepGi1M0a8In3nWyudMK2Q1sgn1h8Kr-c58h1hrTOWkrFU7pHonssnx8LjLRY-nHJKZwq8XujqL1eKK7ZIeKrx-Z9LdnzbHof3Zn_YfQybfYNgZRMjoLPSdXpKvXcKexnBBg9JBlAWnYZJiQ6m0HUBhUyh1zoFrQxMHkJSS7b-0z7axy_KM9J9_H0YHw_qBxAzQb4</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>On some Grassmannians carrying an even Clifford structure</title><source>arXiv.org</source><creator>Piccinni, Paolo</creator><creatorcontrib>Piccinni, Paolo</creatorcontrib><description>Differential Geometry and Applications, 59 (2019) 122-137 We give an explicit description of the non-flat parallel even Clifford structures of rank 8, 6, 5 on some real, complex and quaternionic Grassmannians, and discuss the r\^ole of the octonions in them, in particular for some low dimensional examples.</description><identifier>DOI: 10.48550/arxiv.1805.01751</identifier><language>eng</language><subject>Mathematics - Differential Geometry</subject><creationdate>2018-05</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,776,881</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/1805.01751$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.1805.01751$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Piccinni, Paolo</creatorcontrib><title>On some Grassmannians carrying an even Clifford structure</title><description>Differential Geometry and Applications, 59 (2019) 122-137 We give an explicit description of the non-flat parallel even Clifford structures of rank 8, 6, 5 on some real, complex and quaternionic Grassmannians, and discuss the r\^ole of the octonions in them, in particular for some low dimensional examples.</description><subject>Mathematics - Differential Geometry</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2018</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotj7tuwjAUQL0wVNAP6IR_IKkd29fOiCJKKyGxsEc3flSWiKmuAZW_r0o7ne3oHMZepGi1M0a8In3nWyudMK2Q1sgn1h8Kr-c58h1hrTOWkrFU7pHonssnx8LjLRY-nHJKZwq8XujqL1eKK7ZIeKrx-Z9LdnzbHof3Zn_YfQybfYNgZRMjoLPSdXpKvXcKexnBBg9JBlAWnYZJiQ6m0HUBhUyh1zoFrQxMHkJSS7b-0z7axy_KM9J9_H0YHw_qBxAzQb4</recordid><startdate>20180504</startdate><enddate>20180504</enddate><creator>Piccinni, Paolo</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20180504</creationdate><title>On some Grassmannians carrying an even Clifford structure</title><author>Piccinni, Paolo</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a671-ee6a871824bf9c83a91e67dc6f1d637a846b3026bd22da01fd944fd4356bc6df3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2018</creationdate><topic>Mathematics - Differential Geometry</topic><toplevel>online_resources</toplevel><creatorcontrib>Piccinni, Paolo</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Piccinni, Paolo</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>On some Grassmannians carrying an even Clifford structure</atitle><date>2018-05-04</date><risdate>2018</risdate><abstract>Differential Geometry and Applications, 59 (2019) 122-137 We give an explicit description of the non-flat parallel even Clifford structures of rank 8, 6, 5 on some real, complex and quaternionic Grassmannians, and discuss the r\^ole of the octonions in them, in particular for some low dimensional examples.</abstract><doi>10.48550/arxiv.1805.01751</doi><oa>free_for_read</oa></addata></record>
fulltext fulltext_linktorsrc
identifier DOI: 10.48550/arxiv.1805.01751
ispartof
issn
language eng
recordid cdi_arxiv_primary_1805_01751
source arXiv.org
subjects Mathematics - Differential Geometry
title On some Grassmannians carrying an even Clifford structure
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-08T02%3A33%3A19IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-arxiv_GOX&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=On%20some%20Grassmannians%20carrying%20an%20even%20Clifford%20structure&rft.au=Piccinni,%20Paolo&rft.date=2018-05-04&rft_id=info:doi/10.48550/arxiv.1805.01751&rft_dat=%3Carxiv_GOX%3E1805_01751%3C/arxiv_GOX%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_id=info:pmid/&rfr_iscdi=true