2015Lobachevskii Journal of MathematicsRequires access

On conformal subriemannian fundamental graded Lie algebras and Cartan connections

Tomoaki Yatsui

Open publisher page 4 citations

Abstract

Under some condition we classify the prolongations of conformal subriemannian fundamental graded Lie algebras. Also we show the existence of a normal Cartan connection associated with a bracket generating regular conformal subriemannian manifold.

About this research paper

What this paper is about

Under some condition we classify the prolongations of conformal subriemannian fundamental graded Lie algebras. Also we show the existence of a normal Cartan connection associated with a bracket generating regular conformal subriemannian manifold.

Why it matters

OpenAlex reports 4 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Under some condition we classify the prolongations of conformal subriemannian fundamental graded Lie algebras. Also we show the existence of a normal Cartan connection associated with a bracket generating regular conformal subriemannian manifold.

Key concepts: Mathematics, Conformal map, Cartan matrix, Pure mathematics, Algebra over a field, Kac–Moody algebra, Cartan subalgebra, Killing form

Related papers

Back to paper searchBrowse research topicsOriginal source
On conformal subriemannian fundamental graded Lie algebras and Cartan connections — Research Paper | ScholarLens