[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.5666/KMJ.2018.58.3.547

Elliptic Linear Weingarten Surfaces

Kim, Young Ho (Department of Mathematics, Kyungpook National University)

Publication Information

Kyungpook Mathematical Journal / v.58, no.3, 2018 , pp. 547-557 More about this Journal

Abstract

We establish some characterizations of isoparametric surfaces in the three-dimensional Euclidean space, which are associated with the Laplacian operator defined by the so-called II-metric on surfaces with non-degenerate second fundamental form and the elliptic linear Weingarten metric on surfaces in the three-dimensional Euclidean space. We also study a Ricci soliton associated with the elliptic linear Weingarten metric.

Keywords

elliptic linear Weingarten metric; finite-type immersion; Gauss map; isoparametric surface; Ricci soliton;

Citations & Related Records

Reference

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