arXiv Open Access 2023

Curvature exponent and geodesic dimension on Sard-regular Carnot groups

Sebastiano Nicolussi Golo Ye Zhang

Lihat Sumber

Abstrak

In this paper we characterize the geodesic dimension $N_{GEO}$ and give a new lower bound to the curvature exponent $N_{CE}$ on Sard-regular Carnot groups. As an application, we give an example of step-two Carnot group on which $N_{CE} > N_{GEO}$: this answers a question posed by Rizzi in arXiv:1510.05960v4 [math.MG].

Topik & Kata Kunci

math.MG math.DG

Penulis (2)

Sebastiano Nicolussi Golo

Ye Zhang

Format Sitasi

APA MLA BibTeX

Golo, S.N., Zhang, Y. (2023). Curvature exponent and geodesic dimension on Sard-regular Carnot groups. https://arxiv.org/abs/2308.15811

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2023
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓