Second variation of superminimal surfaces into self-dual Einstein four-manifolds

DOI10.1090/S0002-9947-97-01933-8zbMath0879.53044OpenAlexW1901170387WikidataQ125981995 ScholiaQ125981995MaRDI QIDQ4336564

Francisco Urbano, Sebastían Montiel

Publication date: 13 May 1997

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

Full work available at URL: https://doi.org/10.1090/s0002-9947-97-01933-8

zbMATH Keywords

indexnullitysuperminimal surfaces

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

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Stability of twistor lifts for surfaces in four-dimensional manifolds as harmonic sections ⋮ Jacobi fields along harmonic 2-spheres in 3- and 4-spheres are not all integrable ⋮ On the index of minimal 2-tori in the 4-sphere ⋮ Second variation of compact minimal Legendrian submanifolds of the sphere ⋮ Second variation of one-sided complete minimal surfaces ⋮ Index of minimal spheres and isoperimetric eigenvalue inequalities ⋮ On surfaces whose twistor lifts are harmonic sections ⋮ On stable compact minimal submanifolds ⋮ The Calabi-Yau property of superminimal surfaces in self-dual Einstein four-manifolds ⋮ On stability and index of minimal submanifolds ⋮ The second variation for null-torsion holomorphic curves in the 6-sphere ⋮ INFINITESIMAL DEFORMATIONS OF HARMONIC MAPS AND MORPHISMS ⋮ Minimal surfaces in \(\mathbb{S}^{2} \times \mathbb{S}^{2}\) ⋮ Special Lagrangians in nearly Kähler \(\mathbb{CP}^3\)

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