Translation surfaces and isotropic nets on rational minimal surfaces

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F17%3A43932524" target="_blank" >RIV/49777513:23520/17:43932524 - isvavai.cz</a>

Výsledek na webu

<a href="http://www.springer.com/us/book/9783319678849" target="_blank" >http://www.springer.com/us/book/9783319678849</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/978-3-319-67885-6" target="_blank" >10.1007/978-3-319-67885-6</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Translation surfaces and isotropic nets on rational minimal surfaces

Popis výsledku v původním jazyce

We will deal with the translation surfaces which are the shapes generated by translating one curve along another one. We focus on the geometry of translation surfaces generated by two algebraic curves in space and study their properties, especially those useful for geometric modelling purposes. It is a classical result that each minimal surface may be obtained as a translation surface generated by an isotropic curve and its complex conjugate. Thus, we can study the minimal surfaces as special instances of translation surfaces. All the results about translation surfaces will be directly applied also to minimal surfaces. Finally, we present a construction of rational isotropic curves with a prescribed tangent field which leads to the description of all rational minimal surfaces. A close relation to surfaces with Pythagorean normals will be also discussed.

Název v anglickém jazyce

Translation surfaces and isotropic nets on rational minimal surfaces

Popis výsledku anglicky

We will deal with the translation surfaces which are the shapes generated by translating one curve along another one. We focus on the geometry of translation surfaces generated by two algebraic curves in space and study their properties, especially those useful for geometric modelling purposes. It is a classical result that each minimal surface may be obtained as a translation surface generated by an isotropic curve and its complex conjugate. Thus, we can study the minimal surfaces as special instances of translation surfaces. All the results about translation surfaces will be directly applied also to minimal surfaces. Finally, we present a construction of rational isotropic curves with a prescribed tangent field which leads to the description of all rational minimal surfaces. A close relation to surfaces with Pythagorean normals will be also discussed.

Druh

D - Stať ve sborníku

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

<a href="/cs/project/LO1506" target="_blank" >LO1506: Podpora udržitelnosti centra NTIS - Nové technologie pro informační společnost</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2017

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název statě ve sborníku

9th International Conference, MMCS 2016, Oslo, Tonsberg, June 23 - June 28, 2016, Revised Selected Papers

ISBN

978-3-319-67885-6

ISSN

—

e-ISSN

neuvedeno

Počet stran výsledku

16

Strana od-do

186-201

Název nakladatele

Springer

Místo vydání

Heidelberg

Místo konání akce

Tonsberg, Norsko

Datum konání akce

23. 6. 2016

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

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