Memoirs of the Graduate School of Science and Engineering, Shimane University. Series B, Mathematics

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Memoirs of the Graduate School of Science and Engineering, Shimane University. Series B, Mathematics 57
2024 発行

CIRCLES AND HELICES IN A COMPLEX PROJECTIVE SPACE

Maeda, Sadahiro
ADACHI, TOSHIAKI
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Description
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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