Expository paper investigates closed curves' lengths, bridging curve theory and submanifold geometry.
This expository paper consists of two parts. One is to investigate lengths of closed helices in Euclidean sphere by using the information on lengths of closed circles in a complex projective space. The other is to find examples of closed helices in a complex projective plane. This paper bridges between curve theory and submanifold geometry.
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前田 et al. (2024) studied this question.
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