Tokyo Journal of Mathematics

Non-Hopf Hypersurfaces in 2-dimensional Complex Space Forms

Mayuko KON

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Abstract

In this paper we give a geometric characterization of non-Hopf hypersurfaces in the complex space form $M^2(c)$ under a condition on the shape operator. We also classify pseudo-parallel real hypersurfaces of $M^2(c)$.

Article information

Source
Tokyo J. Math., Volume 39, Number 2 (2016), 373-387.

Dates
First available in Project Euclid: 20 January 2017

Permanent link to this document
https://projecteuclid.org/euclid.tjm/1484903129

Digital Object Identifier
doi:10.3836/tjm/1484903129

Mathematical Reviews number (MathSciNet)
MR3599499

Zentralblatt MATH identifier
1361.53045

Subjects
Primary: 53C40: Global submanifolds [See also 53B25]
Secondary: 53C55: Hermitian and Kählerian manifolds [See also 32Cxx] 53C25: Special Riemannian manifolds (Einstein, Sasakian, etc.)

Citation

KON, Mayuko. Non-Hopf Hypersurfaces in 2-dimensional Complex Space Forms. Tokyo J. Math. 39 (2016), no. 2, 373--387. doi:10.3836/tjm/1484903129. https://projecteuclid.org/euclid.tjm/1484903129


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