Work

Flat 3-webs of degree one on the projective plane

Year: 2014

Type: article

Abstract: The aim of this work is to study global 3 -webs with vanishing curvature. We wish to investigate degree 3 foliations for which their dual web is flat. The main ingredient is the Legendre transform, which is an avatar of classical projective duality in the realm of differential equations. We find a characterization of degree 3 foliations whose Legendre transform are webs with zero curvature.

Source: Annales de la faculté des sciences de Toulouse Mathématiques

DOI: 10.5802/afst.1424

Authors: A. Beltrán, M. Falla Luza, D. Marín

Institutions: Pontificia Universidad Católica del Perú, Universitat Autònoma de Barcelona, Centre de Recerca Matemàtica

Language: French

Topic: Advanced Differential Geometry Research

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W2065963589

FWCI: 0.179

Cites: 7

Cited by: 7

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