On the instability of a minimal surface in a 4-manifold whose curvature lies in the interval \((1/4,1]\).

DOI10.2977/prims/1195183296zbMath0514.53051OpenAlexW2084520342MaRDI QIDQ1051286

Shigeo Kawai

Publication date: 1982

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195183296

zbMATH Keywords

minimal surfaceEuler numberunstable minimal submanifolds

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Integral geometry (53C65) Currents in global analysis (58A25)

Related Items (2)

Certain 4-manifolds with non-negative sectional curvature ⋮ The second variation of area of minimal surfaces in four-manifolds

Cites Work

• Unnamed Item
• Minimal varieties in Riemannian manifolds
• Sur quelques variétés riemanniennes suffisamment pincées

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