Spheres and Tori as Elliptic Linear Weingarten Surfaces

The linear Weingarten condition with ellipticity for the mean curvature and the extrinsic Gaussian curvature on a surface in the three-sphere can define a Riemannian metric which is called the elliptic linear Weingarten metric. We established some local characterizations of the round spheres and the...

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Bibliographic Details
Main Authors: Dong-Soo Kim, Young Ho Kim, Jinhua Qian
Format: Article
Language:English
Published: MDPI AG 2022-11-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/10/21/4065