Spherical Pedal Coordinates and Calculus of Variations

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19610%2F24%3AA0000153" target="_blank" >RIV/47813059:19610/24:A0000153 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/chapter/10.1007/978-3-031-62407-0_16" target="_blank" >https://link.springer.com/chapter/10.1007/978-3-031-62407-0_16</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-031-62407-0_16" target="_blank" >10.1007/978-3-031-62407-0_16</a>

Result language
angličtina
Original language name
Spherical Pedal Coordinates and Calculus of Variations
Original language description
Planar curves can be described in terms of pedal coordinates. We will introduce a generalization of this notion for curves on a sphere in Euclidean space. It is observed that certain problems in the calculus of variations can be solved with the help of these coordinates [1]. In particular, we show how the notion of spherical pedal coordinates can be used to solve the spherical version of isoperimetric problems and the problem of brachistochrone.
Czech name
—
Czech description
—

Project
<a href="/en/project/GA21-27941S" target="_blank" >GA21-27941S: Function theory and related operators on complex domains</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Geometric Methods in Physics XL, Trends in Mathematics
ISBN
9783031624063
ISSN
2297-0215
e-ISSN
2297-024X
Number of pages
13
Pages from-to
209-221
Publisher name
Birkhäuser Cham
Place of publication
Cham, Switzerland
Event location
Białowieża, Poland
Event date
Jul 2, 2023
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
001308717200016

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