Curvature exponent and geodesic dimension on Sard-regular Carnot groups
Nicolussi Golo, S., & Zhang, Y. (2024). Curvature exponent and geodesic dimension on Sard-regular Carnot groups. Analysis and Geometry in Metric Spaces, 12(1), Article 20240004. https://doi.org/10.1515/agms-2024-0004
Julkaistu sarjassa
Analysis and Geometry in Metric SpacesPäivämäärä
2024Tekijänoikeudet
© 2024 the Authors
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).
Julkaisija
De GruyterISSN Hae Julkaisufoorumista
2299-3274Asiasanat
Julkaisu tutkimustietojärjestelmässä
https://converis.jyu.fi/converis/portal/detail/Publication/233316698
Metadata
Näytä kaikki kuvailutiedotKokoelmat
Rahoittaja(t)
Suomen AkatemiaRahoitusohjelmat(t)
Akatemiahanke, SA; Akatemiatutkijan tutkimuskulut, SALisätietoja rahoituksesta
S.N.G. has been supported by the Academy of Finland (Grant 328846, “Singular integrals, harmonic functions, and boundary regularity in Heisenberg groups,” Grant 322898 “Sub-Riemannian Geometry via Metric-geometry and Lie-group Theory,” Grant 314172 “Quantitative rectifiability in Euclidean and non-Euclidean spaces”).Lisenssi
Ellei muuten mainita, aineiston lisenssi on CC BY 4.0