On the Euler equation for minimal geodesics on Riemannian manifolds having discontinuous metrics

Flavia Antonacci; Marco Degiovanni

On the Euler equation for minimal geodesics on Riemannian manifolds having discontinuous metrics

Flavia Antonacci^*, Marco Degiovanni

^*Autore corrispondente per questo lavoro

Facoltà di Scienze Matematiche, Fisiche e Naturali

Gabriele d'Annunzio University

Risultato della ricerca: Contributo in rivista › Articolo › peer review

Abstract

We provide a qualitative description of curves minimizing the energy functional on a Riemannian manifold whose metric is discontinuous along a hypersurface Sigma. Such a study is motivated by the variational description of refraction phenomena.

Lingua originale	Inglese
pagine (da-a)	833-842
Numero di pagine	10
Rivista	Discrete and Continuous Dynamical Systems
Volume	15
Numero di pubblicazione	3
Stato di pubblicazione	Pubblicato - 2006

All Science Journal Classification (ASJC) codes

Analisi
Matematica Discreta e Combinatoria
Matematica Applicata

Keywords

Calcolo delle variazioni
Calculus of variations
Differential equations
Equazioni differenziali

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title = "On the Euler equation for minimal geodesics on Riemannian manifolds having discontinuous metrics",

abstract = "We provide a qualitative description of curves minimizing the energy functional on a Riemannian manifold whose metric is discontinuous along a hypersurface Sigma. Such a study is motivated by the variational description of refraction phenomena.",

keywords = "Calcolo delle variazioni, Calculus of variations, Differential equations, Equazioni differenziali, Calcolo delle variazioni, Calculus of variations, Differential equations, Equazioni differenziali",

author = "Flavia Antonacci and Marco Degiovanni",

year = "2006",

language = "English",

volume = "15",

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AU - Antonacci, Flavia

AU - Degiovanni, Marco

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KW - Calcolo delle variazioni

KW - Calculus of variations

KW - Differential equations

KW - Equazioni differenziali

KW - Calcolo delle variazioni

KW - Calculus of variations

KW - Differential equations

KW - Equazioni differenziali

UR - https://publicatt.unicatt.it/handle/10807/5133

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M3 - Article

SN - 1078-0947

VL - 15

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EP - 842

JO - Discrete and Continuous Dynamical Systems

JF - Discrete and Continuous Dynamical Systems

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ER -

On the Euler equation for minimal geodesics on Riemannian manifolds having discontinuous metrics

Abstract

All Science Journal Classification (ASJC) codes

Keywords

Altri file e collegamenti

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