Kodai Mathematical Journal

Curvature properties of homogeneous real hypersurfaces in nonflat complex space forms

Sadahiro Maeda, Hiroshi Tamaru, and Hiromasa Tanabe

Full-text: Access denied (no subscription detected)

We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text

Abstract

In this paper, we study curvature properties of all homogeneous real hypersurfaces in nonflat complex space forms, and determine their minimalities and the signs of their sectional curvatures completely. These properties reflect the sign of the constant holomorphic sectional curvature $c$ of the ambient space. Among others, for the case of $c$ < 0 there exist homogeneous real hypersurfaces with positive sectional curvature and also ones with negative sectional curvature, whereas for the case of $c$ > 0 there do not exist any homogeneous real hypersurfaces with nonpositive sectional curvature.

Article information

Source
Kodai Math. J., Volume 41, Number 2 (2018), 315-331.

Dates
First available in Project Euclid: 2 July 2018

Permanent link to this document
https://projecteuclid.org/euclid.kmj/1530496844

Digital Object Identifier
doi:10.2996/kmj/1530496844

Mathematical Reviews number (MathSciNet)
MR3824853

Zentralblatt MATH identifier
06936455

Citation

Maeda, Sadahiro; Tamaru, Hiroshi; Tanabe, Hiromasa. Curvature properties of homogeneous real hypersurfaces in nonflat complex space forms. Kodai Math. J. 41 (2018), no. 2, 315--331. doi:10.2996/kmj/1530496844. https://projecteuclid.org/euclid.kmj/1530496844


Export citation