On stable compact minimal submanifolds

DOI10.1090/S0002-9939-2013-11810-1zbMath1284.53055arXiv1012.0679OpenAlexW2068603014MaRDI QIDQ5398139

Francisco Urbano, Francisco Torralbo

Publication date: 26 February 2014

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.0679

zbMATH Keywords

stabilityspheresminimal submanifoldsproduct spaces

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40)

Related Items (10)

Stable submanifolds in the product of projective spaces ⋮ Index estimates for closed minimal submanifolds of the sphere ⋮ Spectrum comparison on free boundary minimal submanifolds of Euclidean domains ⋮ Conjugate plateau constructions in product spaces ⋮ Morse index bounds for minimal submanifolds ⋮ On stable compact minimal submanifolds of Riemannian product manifolds ⋮ Second variation of one-sided complete minimal surfaces ⋮ On stability and index of minimal submanifolds ⋮ Minimal hypersurfaces in the product of two spheres with index one ⋮ Minimal surfaces in \(\mathbb{S}^{2} \times \mathbb{S}^{2}\)

Cites Work

• On complete minimal surfaces with finite Morse index in three manifolds
• Stable minimal submanifolds in compact rank one symmetric spaces
• Compact Kähler manifolds of positive bisectional curvature
• The second variation of area of minimal surfaces in four-manifolds
• Compact minimal hypersurfaces with index one in the real projective space
• On stable currents and their application to global problems in real and complex geometry
• Minimal surfaces in a Kähler surface
• One-sided complete stable minimal surfaces
• Minimal Lagrangian surfaces in \(\mathbb S^2 \times \mathbb S^2\)
• Minimal varieties in Riemannian manifolds
• Second variation and stabilities of minimal Lagrangian submanifolds in Kähler manifolds
• The structure of complete stable minimal surfaces in 3-manifolds of non-negative scalar curvature
• Second variation of superminimal surfaces into self-dual Einstein four-manifolds

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