A sharp characterization of the Willmore invariant

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F23%3A00131503" target="_blank" >RIV/00216224:14310/23:00131503 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1142/S0129167X23500544" target="_blank" >https://doi.org/10.1142/S0129167X23500544</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1142/S0129167X23500544" target="_blank" >10.1142/S0129167X23500544</a>

Result language
angličtina
Original language name
A sharp characterization of the Willmore invariant
Original language description
First introduced to describe surfaces embedded in R3, the Willmore invariant is a conformally-invariant extrinsic scalar curvature of a surface that vanishes when the surface minimizes bending and stretching. Both this invariant and its higher-dimensional analogs appear frequently in the study of conformal geometric systems. To that end, we provide a characterization of the Willmore invariant in general dimensions. In particular, we provide a sharp sufficient condition for the vanishing of the Willmore invariant and show that in even dimensions it can be described fully using conformal fundamental forms and one additional tensor.
Czech name
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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
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OECD FORD branch
10101 - Pure mathematics

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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