Minimal immersions of Riemannian manifolds in products of space forms

Fernando Manfio; Feliciano Vitório

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arXiv · 1302.2880

Minimal immersions of Riemannian manifolds in products of space forms

Fernando Manfio·Feliciano Vitório

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Abstract

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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Fernando Manfio, Feliciano Vitório. 2013-02-12. Minimal immersions of Riemannian manifolds in products of space forms. https://arxiv.org/abs/1302.2880

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