A CHARACTERIZATION OF MAXIMAL SURFACES IN TERMS OF THE GEODESIC CURVATURES

• 영문명: A CHARACTERIZATION OF MAXIMAL SURFACES IN TERMS OF THE GEODESIC CURVATURES
• 발행기관: 충청수학회
• 저자명: Eunjoo Lee
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 37, No. 2, 67~74쪽, 전체 8쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2024.05.31

영문 초록

Maximal surfaces have a prominent place in the field of differential geometry, captivating researchers with their intriguing properties. Bearing a direct analogy to the minimal surfaces in Euclidean space, investigating both their similarities and differences has long been an important issue. This paper is aimed to give a local characterization of maximal surfaces in L³ in terms of their geodesic curvatures, which is analogous to the minimal surface case presented in [8]. We present a classification of the maximal surfaces under some simple condition on the geodesic curvatures of the parameter curves in the line of curvature coordinates.

목차

1. Introduction

2. Preliminaries and Notations

3. Main Results

References

키워드

classification of maximal surfaces geodesic curvature line of curvature