
ISSN:
1941-4889
eISSN:
1941-4897
Journal of Geometric Mechanics
June 2017 , Volume 9 , Issue 2
Special issue on infinite-dimensional Riemannian geometry, Part I
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This paper focuses on the study of open curves in a Riemannian manifold
The Madelung transform relates the non-linear Schrödinger equation and a compressible Euler equation known as the quantum hydrodynamical system. We prove that the Madelung transform is a momentum map associated with an action of the semidirect product group
This article is a survey on the local well-posedness problem for the general EPDiff equation. The main contribution concerns recent results on local existence of the geodesics on
In this paper rational differential invariants are used to classify various plane shapes as well as plane domains equipped with an additional geometrical object.
The group
We study the pull-back of the 2-parameter family of quotient elastic metrics introduced in [
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