Spheres and Tori as Elliptic Linear Weingarten Surfaces

نویسندگان

چکیده

The linear Weingarten condition with ellipticity for the mean curvature and extrinsic Gaussian on a surface in three-sphere can define Riemannian metric which is called elliptic metric. We established some local characterizations of round spheres tori immersed 3-dimensional unit sphere, along Laplace operator, spherical Gauss map associated

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ژورنال

عنوان ژورنال: Mathematics

سال: 2022

ISSN: ['2227-7390']

DOI: https://doi.org/10.3390/math10214065