Rigidity of the Clifford torus as a Lagrangian self-shrinker in ℂ2

In this paper, we prove several rigidity results of the Clifford torus as a Lagrangian self-shrinker in [Formula: see text] under some restrictions of the Kähler angle with respect to the twisted complex structure [Formula: see text]. Besides, we discuss the rotational symmetry case.

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Publication Details

Journal
International Journal of Mathematics
Published
2026-07-24
DOI
https://doi.org/10.1142/s0129167x26500643
Primary Topic
Algebraic and Geometric Analysis
Type
article
Field-Weighted Citation Impact
0.00
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article

Rigidity of the Clifford torus as a Lagrangian self-shrinker in ℂ2

Ling He, Xiaotong Liu, Ruiying Li
International Journal of Mathematics
Algebraic and Geometric Analysis
article

Rigidity of the Clifford torus as a Lagrangian self-shrinker in ℂ2

Ling He, Xiaotong Liu, Ruiying Li
article en

Abstract

In this paper, we prove several rigidity results of the Clifford torus as a Lagrangian self-shrinker in [Formula: see text] under some restrictions of the Kähler angle with respect to the twisted complex structure [Formula: see text]. Besides, we discuss the rotational symmetry case.

International Journal of Mathematics
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Algebraic and Geometric Analysis
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Rigidity of the Clifford torus as a Lagrangian self-shrinker in ℂ2 — Ling He, Xiaotong Liu, et al. · International Journal of Mathematics (2026) | TGRS Research Map | TGRS