首页|Minimal Legendrian surfaces in the tangent sphere bundle of R3

Minimal Legendrian surfaces in the tangent sphere bundle of R3

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In this paper,we study minimal Legendrian surfaces ∑ immersed in the tangent sphere bundle T1R3.We classify(1)totally geodesic Legendrian surfaces,(2)closed minimal Legendrian surfaces of genus smaller than or equal to 1 and complete minimal Legendrian surfaces with the non-negative Gauss curvature,and(3)complete stable minimal Legendrian surfaces.

Legendrian surfacestable minimal surfacetangent sphere bundleclassification

Mingyan Li、Guofang Wang

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School of Mathematical Sciences,Ocean University of China,Qingdao 266100,China

Mathematisches Institut,Albert-Ludwigs-Universitäi Freiburg,Freiburg im Breisgau 79104,Germany

2024

中国科学:数学(英文版)
中国科学院

中国科学:数学(英文版)

CSTPCD
影响因子:0.36
ISSN:1674-7283
年,卷(期):2024.67(11)