Minimal Legendrian surfaces in the tangent sphere bundle of ℝ3

Li, Mingyan; Wang, Guofang

doi:10.1007/s11425-023-2199-9

Sci. China Math.

2024

DOI: 10.1007/s11425-023-2199-9

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Minimal Legendrian surfaces in the tangent sphere bundle of ℝ3

Mingyan Li,

Guofang Wang

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Minimal Legendrian surfaces in the tangent sphere bundle of 𝕊³

Li,

Wang

2024

Proc. Amer. Math. Soc.

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In this paper we study minimal Legendrian surfaces Σ \Sigma immersed in tangent sphere bundle T 1 S 3 T_1{\mathbb {S}}^3 . We classify (1) totally geodesic Legendrian surfaces, (2) closed minimal Legendrian surfaces of genus smaller than or equal to one and complete minimal Legendrian surfaces with non-negative Gauss curvature.

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Minimal Legendrian surfaces in the tangent sphere bundle of 𝕊³

Li,

Wang

2024

Proc. Amer. Math. Soc.

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Minimal Legendrian surfaces in the tangent sphere bundle of ℝ3

Cited by 1 publication

References 25 publications

Minimal Legendrian surfaces in the tangent sphere bundle of 𝕊³

Minimal Legendrian surfaces in the tangent sphere bundle of 𝕊³

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