The Jacobi operator of some special minimal hypersurfaces

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F25%3A43973748" target="_blank" >RIV/49777513:23520/25:43973748 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1007/s10231-024-01536-x" target="_blank" >https://link.springer.com/article/10.1007/s10231-024-01536-x</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10231-024-01536-x" target="_blank" >10.1007/s10231-024-01536-x</a>

Result language
angličtina
Original language name
The Jacobi operator of some special minimal hypersurfaces
Original language description
In this work we discuss stability and nondegeneracy properties of some special families of minimal hypersurfaces embedded in Rm × Rn with m, n ≥ 2. These hypersurfaces areasymptotic at infinity to a fixed Lawson cone C_{m,n} . In the case m + n ≥ 8, we show that such hypersurfaces are strictly stable and we provide a full classification of their boundedJacobi fields, which in turn allows us to prove the non-degeneracy of such surfaces. In the case m + n ≤ 7, we prove that such hypersurfaces have infinite Morse index.
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
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GA22-18261S" target="_blank" >GA22-18261S: Nonlinear problems with non-standard diffusion</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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