On stable compact minimal submanifolds

Francisco Torralbo; Francisco Urbano

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arXiv · 1012.0679

On stable compact minimal submanifolds

Francisco Torralbo·Francisco Urbano

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Abstract

Stable compact minimal submanifolds of the product of a sphere and any Riemannian manifold are classified whenever the dimension of the sphere is at least three. The complete classification of the stable compact minimal submanifolds of the product of two spheres is obtained. Also, it is proved that the only stable compact minimal surfaces of the product of a 2-sphere and any Riemann surface are the complex ones.

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Francisco Torralbo, Francisco Urbano. 2010-12-03. On stable compact minimal submanifolds. https://arxiv.org/abs/1012.0679

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