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A CHARACTERIZATION OF MAXIMAL SURFACES IN TERMS OF THE GEODESIC CURVATURESA CHARACTERIZATION OF MAXIMAL SURFACES IN TERMS OF THE GEODESIC CURVATURES
- Other Titles
- A CHARACTERIZATION OF MAXIMAL SURFACES IN TERMS OF THE GEODESIC CURVATURES
- Authors
- 이은주
- Issue Date
- May-2024
- Publisher
- 충청수학회
- Keywords
- classification of maximal surfaces; geodesic curvature; line of curvature
- Citation
- 충청수학회지, v.37, no.2, pp 67 - 74
- Pages
- 8
- Journal Title
- 충청수학회지
- Volume
- 37
- Number
- 2
- Start Page
- 67
- End Page
- 74
- ISSN
- 1226-3524
2383-6245
- Abstract
- Maximal surfaces have a prominent place in the field ofdifferential geometry, captivating researchers with their intriguingproperties. Bearing a direct analogy to the minimal surfaces inEuclidean space, investigating both their similarities and differenceshas long been an important issue. This paper is aimed to give a localcharacterization of maximal surfaces in L3 in terms of their geodesiccurvatures, which is analogous to the minimal surface case presentedin [8]. We present a classification of the maximal surfaces undersome simple condition on the geodesic curvatures of the parametercurves in the line of curvature coordinates
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Collections - Graduate School > Department of Mathematics > 1. Journal Articles
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Related Researcher
- Lee, Eunjoo
- College of Natural Sciences (Department of Mathematics)