Work

Affine Surfaces whose Geodesics are Planar Curves

Year: 1995

Type: article

Abstract: We study the geometry of nondegenerate affine surfaces ${M^2}$ in ${\mathbb {R}^4}$, with respect to the Burstin-Mayer, the Weise-Klingenberg and the equiaffine transversal plane bundle. A classification is obtained of the surfaces whose geodesies with respect to the induced connection are planar curves.

Source: Proceedings of the American Mathematical Society

DOI: 10.1090/s0002-9939-1995-1283565-8

Author: Luc Vrancken

Institution: Fund for Scientific Research

Language: English

Topic: Advanced Differential Geometry Research

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: bronze

Funder: Brown University

OpenAlex ID: W2013878327