Work

On the existence of geodesic vector fields on closed surfaces

Year: 2025

Type: article

Abstract: We construct an example of a Riemannian metric on the 2-torus such that its universal cover does not admit global Riemann normal coordinates.

Source: Theoretical and Applied Mechanics

DOI: 10.2298/tam241210003m

Author: Vladimir Matveev

Institution: Friedrich Schiller University Jena

Language: English

Topic: Advanced Differential Geometry Research

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funders: Deutsche Forschungsgemeinschaft, Australian Research Council

Awards: Nijenhuisgeometrie: singuläre Punkte und Anwendungen, Finite dimensional integrable systems and differential geometry, Polynomielle Integrabilität von natürlichen zweidimensionalen Hamiltonischen Systemen und deren Anwendungen

OpenAlex ID: W4409435484

FWCI:

Cites: 6

Cited by:

Related to: 10