Non-Riemannian Cartan geometry
type: Item
instance of: scholarly article
title: Non-Riemannian Cartan geometry
zbMATH Open document ID: 0857.53019
author: Yanyan Li
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 1997-03-09T00:00:00Z
review text: A Cartan space \({\mathcal C}^n = (M,H(x,p))\) [cf. the reviewer, An. Stiinţ. Univ. Al. I. Cuza Iaşi, Ser. Nuova Mat. 35, No. 1, 33-67 (1989; Zbl 0711.53022)] is a Hamilton space for which the fundamental function \(H(x,p)\) is 2-homogeneous with respect to the momenta \(p_i\). The author studies two important classes of spaces \({\mathcal C}^n\): (a) Strongly non-Riemannian; (b) parallelizable. He proves the following interesting result: Any strongly non-Riemannian Cartan space \({\mathcal C}^n\) is parallelizable.
reviewed by: Radu Miron
Mathematics Subject Classification ID: 53B40
zbMATH DE Number: 903335
zbMATH Keywords: strongly non-Riemannian
zbMATH Keywords: Cartan space
zbMATH Keywords: parallelizable
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 903335