On the rigidity of magnetic systems with the same magnetic geodesics

Keith Burns; Vladimir S. Matveev

doi:10.1090/S0002-9939-05-08196-7

On the rigidity of magnetic systems with the same magnetic geodesics

Keith Burns^*, Vladimir S. Matveev

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

We study the analogue for magnetic flows of the classical question of when two different metrics on the same manifold share geodesics, which are the same up to reparametrization.

Original language	English (US)
Pages (from-to)	427-434
Number of pages	8
Journal	Proceedings of the American Mathematical Society
Volume	134
Issue number	2
DOIs	https://doi.org/10.1090/S0002-9939-05-08196-7
State	Published - Feb 2006

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

Access to Document

10.1090/S0002-9939-05-08196-7

Cite this

@article{3d53b5d198a54125956575b05e463b17,

title = "On the rigidity of magnetic systems with the same magnetic geodesics",

abstract = "We study the analogue for magnetic flows of the classical question of when two different metrics on the same manifold share geodesics, which are the same up to reparametrization.",

author = "Keith Burns and Matveev, {Vladimir S.}",

year = "2006",

month = feb,

doi = "10.1090/S0002-9939-05-08196-7",

language = "English (US)",

volume = "134",

pages = "427--434",

journal = "Proceedings of the American Mathematical Society",

issn = "0002-9939",

publisher = "American Mathematical Society",

number = "2",

}

TY - JOUR

T1 - On the rigidity of magnetic systems with the same magnetic geodesics

AU - Burns, Keith

AU - Matveev, Vladimir S.

PY - 2006/2

Y1 - 2006/2

N2 - We study the analogue for magnetic flows of the classical question of when two different metrics on the same manifold share geodesics, which are the same up to reparametrization.

AB - We study the analogue for magnetic flows of the classical question of when two different metrics on the same manifold share geodesics, which are the same up to reparametrization.

UR - http://www.scopus.com/inward/record.url?scp=33644511422&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33644511422&partnerID=8YFLogxK

U2 - 10.1090/S0002-9939-05-08196-7

DO - 10.1090/S0002-9939-05-08196-7

M3 - Article

AN - SCOPUS:33644511422

SN - 0002-9939

VL - 134

SP - 427

EP - 434

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 2

ER -

On the rigidity of magnetic systems with the same magnetic geodesics

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this