Rotational hypersurfaces with $L_r$-pointwise 1-type Gauss map
In this paper, we study hypersurfaces in $\E^{n+1}$ which Gauss map $G$ satisfies the equation $L_rG = f(G + C)$ for a smooth function $f$ and a constant vector $C$, where $L_r$ is the linearized operator of the $(r + 1)$th mean curvature of the hypersurface, i.e., $L_r(f)=tr(P_r\circ\nabla^2f)$ fo...
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| Format: | Article |
| Language: | English |
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Sociedade Brasileira de Matemática
2018-07-01
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| Series: | Boletim da Sociedade Paranaense de Matemática |
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| Online Access: | https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/31263 |