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December 2010 Moderate Killing Helices of Proper Order Four on a Complex Projective Space
Toshiaki ADACHI
Tokyo J. Math. 33(2): 435-452 (December 2010). DOI: 10.3836/tjm/1296483481

Abstract

In this paper we study Killing helices, which are helices generated by Killing vector fields, of order 4 on a complex projective space whose first and third geodesic curvatures coincide. We construct a natural foliation structure on the set of all congruence classes of these helices. Our study shows that the moduli space of circles is canonically embedded into the moduli space of Killing helices of proper order 4 on a complex projective space.

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Toshiaki ADACHI. "Moderate Killing Helices of Proper Order Four on a Complex Projective Space." Tokyo J. Math. 33 (2) 435 - 452, December 2010. https://doi.org/10.3836/tjm/1296483481

Information

Published: December 2010
First available in Project Euclid: 31 January 2011

zbMATH: 1273.53031
MathSciNet: MR2779428
Digital Object Identifier: 10.3836/tjm/1296483481

Subjects:
Primary: 53C12, 53C22
Secondary: 53C35

Rights: Copyright © 2010 Publication Committee for the Tokyo Journal of Mathematics

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Vol.33 • No. 2 • December 2010
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