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arxiv: 1302.2880 · v1 · pith:3IM6AASOnew · submitted 2013-02-12 · 🧮 math.DG

Minimal immersions of Riemannian manifolds in products of space forms

classification 🧮 math.DG
keywords immersionsminimalclassicalconditioncylindersdealeuclideanextensions
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In this note, we give natural extensions to cylinders and tori of a classical result due to T. Takahashi about minimal immersions into spheres. More precisely, we deal with Euclidean isometric immersions whose projections in R^N satisfy a spectral condition of their Laplacian.

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