geodesic

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geodesic

1. relating to or involving the geometry of curved surfaces
2. the shortest line between two points on a curved or plane surface
Collins Discovery Encyclopedia, 1st edition © HarperCollins Publishers 2005

geodesic

[¦jē·ə¦des·ik]
(mathematics)
A curve joining two points in a Riemannian manifold which has minimum length.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.

geodesic

geodesic
Great circle is the shortest distance between two points.
The shortest distance between two points on any surface. The shortest distance between two places on earth derived mathematically is called a geodetic line.
An Illustrated Dictionary of Aviation Copyright © 2005 by The McGraw-Hill Companies, Inc. All rights reserved
References in periodicals archive ?
Therefore, the negativity of the Ricci scalar is only a sufficient but not necessary condition for local instability of geodesic flows on curved statistical manifolds.
For geodesic flows on negatively curved manifolds we are always in the weak mixing case [1].
Audin starts with an able introduction to integrable systems, including symplectic manifolds, Hamiltonian systems, completely integrable systems, and geodesic flows. She continues with action-angle variables, integrability and Galois groups (including the Arnold-Liouville theorem, as revisited through differentia Galois theory), Lax closing with an introduction to Lax equations as they apply to the Arnold-Liouville theorem.