EXTRINSIC GEODESICS AND HYPERSURFACES OF TYPE (A) IN A COMPLEX PROJECTIVE SPACE

SADAHIRO MAEDA; TOSHIAKI ADACHI

doi:10.2748/tmj/1232376168

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

JOURNAL FREE ACCESS

2008 Volume 60 Issue 4 Pages 597-605

DOI https://doi.org/10.2748/tmj/1232376168

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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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