Connecting and Closed Geodesics of a Kropina Metric

to related objects

Abstract: We prove some results about existence of connecting and closed geodesics in a manifold endowed with a Kropina metric. These have applications to both null geodesics of spacetimes endowed with a null Killing vector field and Zermelo’s navigation problem with critical wind.

Location: Deutsche Nationalbibliothek Frankfurt am Main

Extent: Online-Ressource

Language: Englisch

Bibliographic citation: Connecting and Closed Geodesics of a Kropina Metric ; volume:21 ; number:3 ; year:2021 ; pages:683-695 ; extent:13
Advanced nonlinear studies ; 21, Heft 3 (2021), 683-695 (gesamt 13)

Creator: Caponio, Erasmo
Giannoni, Fabio
Masiello, Antonio
Suhr, Stefan

DOI: 10.1515/ans-2021-2133

URN: urn:nbn:de:101:1-2405031631177.325299121430

Rights: Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.

Last update: 14.08.2025, 10:48 AM CEST

Data provider

This object is provided by:
Deutsche Nationalbibliothek. If you have any questions about the object, please contact the data provider.

Show original at data provider

Associated

Caponio, Erasmo
Giannoni, Fabio
Masiello, Antonio
Suhr, Stefan

Other Objects (12)

Qualitative counting closed geodesics

Closed geodesics on surfaces

Geodesics in Asymmetric Metric Spaces

Closed geodesics on surfaces and Riemannian manifolds

zweidimensionales bewegtes Bild

Counting closed geodesics on translation surfaces

On Closed Geodesics in Lorentz Manifolds

Simple Closed Geodesics on a Polyhedron

On closed geodesics in Lorentz manifolds

Hochschulschrift

The evolution equation for closed magnetic geodesics

Manifolds all of whose geodesics are closed

$Simple closed geodesics in dimensions $$\ge 3$$ ≥ 3$

Simple closed geodesics in dimensions $$\ge 3$$ ≥ 3

Qualitative counting closed geodesics

Closed geodesics on surfaces

Geodesics in Asymmetric Metric Spaces

Closed geodesics on surfaces and Riemannian manifolds

zweidimensionales bewegtes Bild

Counting closed geodesics on translation surfaces

On Closed Geodesics in Lorentz Manifolds

Simple Closed Geodesics on a Polyhedron

On closed geodesics in Lorentz manifolds

Hochschulschrift

The evolution equation for closed magnetic geodesics

Manifolds all of whose geodesics are closed

$Simple closed geodesics in dimensions $$\ge 3$$ ≥ 3$

Simple closed geodesics in dimensions $$\ge 3$$ ≥ 3

Qualitative counting closed geodesics

Closed geodesics on surfaces

Geodesics in Asymmetric Metric Spaces

Closed geodesics on surfaces and Riemannian manifolds

zweidimensionales bewegtes Bild

Counting closed geodesics on translation surfaces

On Closed Geodesics in Lorentz Manifolds

Simple Closed Geodesics on a Polyhedron

On closed geodesics in Lorentz manifolds

Hochschulschrift

The evolution equation for closed magnetic geodesics

Manifolds all of whose geodesics are closed

$Simple closed geodesics in dimensions $$\ge 3$$ ≥ 3$

Simple closed geodesics in dimensions $$\ge 3$$ ≥ 3

Cultural heritage institutions wishing to register will find more information here.

Fields marked * need to be filled in.

Username*

Please enter your username

Email*

Please enter your email address

Please do not fill this field

First name

Last name

Password*

Please enter your password

Confirm password*

Please enter the same password

I have read the terms of use and the privacy policy for the collection of personal data and accept them. *

This field is required.

I would like to subscribe to the newsletter of the Deutsche Digitale Bibliothek. See newsletter subscription info.

Account created

Your "My DDB" account has been successfully created. Before you can log in to your account, you must click the confirmation link in the message we just sent to the email address you provided.

Connecting and Closed Geodesics of a Kropina Metric

Object Details

References and Relationships

Contributors, Places and Time

Further information

Data provider

Associated

Other Objects (12)

Qualitative counting closed geodesics

Closed geodesics on surfaces

Closed geodesics on surfaces

Geodesics in Asymmetric Metric Spaces

Closed geodesics on surfaces and Riemannian manifolds

Counting closed geodesics on translation surfaces

On Closed Geodesics in Lorentz Manifolds

Simple Closed Geodesics on a Polyhedron

On closed geodesics in Lorentz manifolds

The evolution equation for closed magnetic geodesics

Manifolds all of whose geodesics are closed

Simple closed geodesics in dimensions $$\ge 3$$ ≥ 3

Qualitative counting closed geodesics

Closed geodesics on surfaces

Closed geodesics on surfaces

Geodesics in Asymmetric Metric Spaces

Closed geodesics on surfaces and Riemannian manifolds

Counting closed geodesics on translation surfaces

On Closed Geodesics in Lorentz Manifolds

Simple Closed Geodesics on a Polyhedron

On closed geodesics in Lorentz manifolds

The evolution equation for closed magnetic geodesics

Manifolds all of whose geodesics are closed

Simple closed geodesics in dimensions $$\ge 3$$ ≥ 3

Qualitative counting closed geodesics

Closed geodesics on surfaces

Closed geodesics on surfaces

Geodesics in Asymmetric Metric Spaces

Closed geodesics on surfaces and Riemannian manifolds

Counting closed geodesics on translation surfaces

On Closed Geodesics in Lorentz Manifolds

Simple Closed Geodesics on a Polyhedron

On closed geodesics in Lorentz manifolds

The evolution equation for closed magnetic geodesics

Manifolds all of whose geodesics are closed

Simple closed geodesics in dimensions $$\ge 3$$ ≥ 3

Related objects

Reset password