Curvature exponent and geodesic dimension on Sard-regular Carnot groups
Year of publication
2024
Authors
Nicolussi Golo, Sebastiano; Zhang, Ye
Abstract
In this study, we characterize the geodesic dimension NGEO and give a new lower bound to the curvature exponent NCE on Sard-regular Carnot groups. As an application, we give an example of step-two Carnot group on which NCE GE > N O; this answers a question posed by Rizzi (Measure contraction properties of Carnot groups. Calc. Var. Partial Differential Equations 55 (2016), no. 3, Art. 60, 20).
Show moreOrganizations and authors
University of Jyväskylä
Nicolussi Golo Sebastiano 
Publication type
Publication format
Article
Parent publication type
Journal
Article type
Original article
Audience
ScientificPeer-reviewed
Peer-ReviewedMINEDU's publication type classification code
A1 Journal article (refereed), original researchPublication channel information
Journal/Series
Publisher
Volume
12
Issue
1
Article number
20240004
ISSN
Publication forum
Publication forum level
1
Open access
Open access in the publisher’s service
Yes
Open access of publication channel
Fully open publication channel
Self-archived
Yes
Other information
Fields of science
Mathematics
Keywords
[object Object]
Publication country
Germany
Internationality of the publisher
International
Language
English
International co-publication
Yes
Co-publication with a company
No
DOI
10.1515/agms-2024-0004
The publication is included in the Ministry of Education and Culture’s Publication data collection
Yes