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

2026/07/24 by Ling He, Ruiying Li, Xiaotong Liu

paper · doi:10.1142/s0129167x26500643

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.

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• Closed Lagrangian self-shrinkers in ℝ⁴ symmetric with respect to a hyperplane
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