जिओडेसिक,

geodesic's Usage Examples:

The capsids of some viruses have the shape of geodesic polyhedra, and fullerene molecules.

These great circles are the geodesics of the sphere.

Closed geodesics can be characterized by means of a variational principle.

geodesic lines, traversed by gradients marking the transitions and the becomings, the destinations of the subject developing along these particular vectors.

Symmetries usually require some form of preserving property, the most important of which in general relativity include the following:preserving geodesics of the spacetimepreserving the metric tensorpreserving the curvature tensorThese and other symmetries will be discussed below in more detail.

In Minkowski space there is only one geodesic that connects any given pair of events, and for a time-like geodesic, this is the curve with the longest proper time between the two events.

This is not a geodesic congruence; rather, each observer in this family must maintain a constant acceleration in order to hold his course.

This can be seen by considering a geodesic \gamma:[0,2]\to M from p to q and taking the isometry which fixes \gamma(1) and maps \gamma'(1) to -\gamma'(1).

It was applied by Marston Morse in 1921 to the construction of a nonperiodic recurrent geodesic.

geometry, methods of ergodic theory have been used to study the geodesic flow on Riemannian manifolds, starting with the results of Eberhard Hopf for Riemann.

Deriving the geodesic equation via an actionWe can (and this is the most common technique) derive the geodesic equation via the action principle.

The fact that the null geodesics spiral inwards in the manner shown above means that when our observer looks radially outwards, he sees nearby dust particles, not at their current locations, but at their earlier locations.

Here, maximally extended refers to the idea that the spacetime should not have any edges: any geodesic path can be extended arbitrarily far in either direction unless it runs into a gravitational singularity.

Synonyms:

geodetic, geodesical,

Antonyms:

straight line, natural object, inactivity,