MINIMAL SURFACE GENERATING FLOW FOR SPACE CURVES OF NON-VANISHING TORSION

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F22%3A00364258" target="_blank" >RIV/68407700:21340/22:00364258 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.3934/dcdsb.2022011" target="_blank" >https://doi.org/10.3934/dcdsb.2022011</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3934/dcdsb.2022011" target="_blank" >10.3934/dcdsb.2022011</a>

Result language
angličtina
Original language name
MINIMAL SURFACE GENERATING FLOW FOR SPACE CURVES OF NON-VANISHING TORSION
Original language description
This article introduces new geometric flow for space curves with positive curvature and torsion. Curves evolving according to this motion law trace out a zero mean curvature surface. First, the geometry of surfaces defined as trajectories of moving curves is analyzed and the minimal surface generating flow is derived. Then, an upper bound for the area of the generated minimal surface and for the terminating time of the flow is provided.
Czech name
—
Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10102 - Applied mathematics

Project
<a href="/en/project/EF16_019%2F0000753" target="_blank" >EF16_019/0000753: Research centre for low-carbon energy technologies</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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