TY - JOUR AU - C. Riveros, Carlos M. AU - F. Machado, Cid D. PY - 2021/07/29 Y2 - 2024/03/28 TI - Hypersurfaces of the spherical type in Euclidean spaces JF - Selecciones Matemáticas JA - Sel.Mat. VL - 8 IS - 01 SE - DO - 10.17268/sel.mat.2021.01.08 UR - https://revistas.unitru.edu.pe/index.php/SSMM/article/view/3705 SP - 83 - 92 AB - <p>In this paper we study a class of oriented hypersurfaces in Euclidean space, namely, the hypersurfaces&nbsp;of the spherical type, this class of hypersurfaces includes the surfaces of the spherical type (Laguerre&nbsp;minimal surfaces) studied in [8]. We show that for n = 2, the classes of surfaces of the spherical type and&nbsp;the Weingarten surfaces of the spherical type coincide, more for larger dimensions this is not true and we&nbsp;give explicit examples. We also introduced a class of hypersurfaces associated to a biharmonic map and&nbsp;we show that the hypersurfaces of the spherical type are associated to a biharmonic map. Moreover, we&nbsp;classify the hypersurfaces of the spherical type of rotation.</p> ER -