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arXiv · 1312.3053

Proper Biconservative immersions into the Euclidean space

Stefano Montaldo·Cezar Oniciuc·Andrea Ratto
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Abstract

In this paper, using the framework of equivariant differential geometry, we study proper $SO(p+1) \times SO(q+1)$-invariant biconservative hypersurfaces into the Euclidean space ${\mathbb R}^n$ ($n=p+q+2$) and proper $SO(p+1)$-invariant biconservative hypersurfaces into the Euclidean space ${\mathbb R}^n$ ($n=p+2$). Moreover, we show that, in these two classes of invariant families, there exists no proper biharmonic immersion.

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Stefano Montaldo, Cezar Oniciuc, Andrea Ratto. 2013-12-11. Proper Biconservative immersions into the Euclidean space. https://arxiv.org/abs/1312.3053

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