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2008 Extrinsic geodesics and hypersurfaces of type (A) in a complex projective space
Toshiaki Adachi, Sadahiro Maeda
Tohoku Math. J. (2) 60(4): 597-605 (2008). DOI: 10.2748/tmj/1232376168

Abstract

In a complex projective space, we distinguish hypersurfaces of type $({\rm A}_1)$ from hypersurfaces of type $({\rm A}_2)$ in terms of the cardinality of congruence classes of their extrinsic geodesics.

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Toshiaki Adachi. Sadahiro Maeda. "Extrinsic geodesics and hypersurfaces of type (A) in a complex projective space." Tohoku Math. J. (2) 60 (4) 597 - 605, 2008. https://doi.org/10.2748/tmj/1232376168

Information

Published: 2008
First available in Project Euclid: 19 January 2009

zbMATH: 1166.53009
MathSciNet: MR2487827
Digital Object Identifier: 10.2748/tmj/1232376168

Subjects:
Primary: 53B25
Secondary: 53C40

Keywords: complex projective spaces , extrinsic geodesics , geodesic spheres , geodesics , hypersurfaces of type $({\rm A}_2)$ , Hypersurfaces of type (A) , integral curves of the characteristic vector field , normal curvature , normal section , ruled real hypersurfaces , structure torsion

Rights: Copyright © 2008 Tohoku University

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Vol.60 • No. 4 • 2008
Tohoku University, Mathematical Institute
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