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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

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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DOI（SelfDOI）

10.24568/55047

CIRCLES AND HELICES IN A COMPLEX PROJECTIVE SPACE 191 KB