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

Ling He, Ruiying Li, Xiaotong Liu

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Source: Crossref

Published: Jul 31, 2026

DOI: 10.1142/s0129167x26500643

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Source 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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Rigidity of the Clifford torus as a Lagrangian self-shrinker in ℂ2 — Mathematical Frontier Network