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Geodesics in the Space of Measure-Preserving Maps and Plans

โœ Scribed by Luigi Ambrosio; Alessio Figalli

Publisher
Springer
Year
2008
Tongue
English
Weight
471 KB
Volume
194
Category
Article
ISSN
0003-9527

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๐Ÿ“œ SIMILAR VOLUMES

Minimal geodesics on groups of volume-pr
Minimal geodesics on groups of volume-preserving maps and generalized solutions of the Euler equations
โœ Yann Brenier ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 454 KB ๐Ÿ‘ 2 views

The three-dimensional motion of an incompressible inviscid fluid is classically described by the Euler equations but can also be seen, following Arnold [1], as a geodesic on a group of volume-preserving maps. Local existence and uniqueness of minimal geodesics have been established by Ebin and Marsd

The volume of geodesic balls and tubes a
The volume of geodesic balls and tubes about totally geodesic submanifolds in compact symmetric spaces
โœ A.M. Naveira; X. Gual ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 531 KB

Let M be a compact Riemannian symmetric space. We give an analytical expression for the area and volume functions of geodesic balls in M and for the area and volume functions of tubes around some totally geodesic submanifolds P of M. We plot the graphs of these functions for some compact irreducible