The second variational formula for Laguerre minimal hypersurfaces in \(\mathbb R^n\)

DOI10.1007/s00025-012-0249-7zbMath1272.53006OpenAlexW2132908165MaRDI QIDQ351097

Yu Ping Song

Publication date: 11 July 2013

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-012-0249-7

zbMATH Keywords

stabilityLaguerre functionalsecond variational formula

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Local submanifolds (53B25) Other special differential geometries (53A40)

Cites Work

• Dupin hypersurfaces
• Laguerre geometry of hypersurfaces in \({\mathbb R}^n\)
• Laguerre minimal surfaces in \(\mathbb R^{3}\)
• Moebius geometry of submanifolds in \(\mathbb{S}^n\)
• Weierstrass representations of Laguerre minimal surfaces in \({\mathbb{R}}^3\)
• A variational problem for surfaces in Laguerre geometry
• The second variational formula for Willmore submanifolds in \(S^n\).
• Unnamed Item

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