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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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CIRCLES AND HELICES IN A COMPLEX PROJECTIVE SPACE 191 KB

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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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CIRCLES AND HELICES IN A COMPLEX PROJECTIVE SPACE 191 KB