Geodesic distance
From Encyclopedia of Mathematics
The length of the shortest geodesic line connecting two points (or two sets). In variational calculus the geodesic distance is the extremal value of the functional under study concerning extremals connecting the two points.
References
| [a1] | H. Busemann, "The geometry of geodesics" , Acad. Press (1955) |
| [a2] | W. Klingenberg, "Riemannian geometry" , de Gruyter (1982) (Translated from German) |
How to Cite This Entry:
Geodesic distance. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Geodesic_distance&oldid=53811
Geodesic distance. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Geodesic_distance&oldid=53811