A characterization of a certain real hypersurface of type (A2) in a complex projective space

Title:

A characterization of a certain real hypersurface of type (A2) in a complex projective space

Creator:

Kim, Byung Hak, Kim, In-Bae, and Maeda, Sadahiro

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:15031df3-86a8-45b2-9797-9c6fd6a25518
uuid:15031df3-86a8-45b2-9797-9c6fd6a25518
issn:0011-4642

Subject:

matematika, mathematics, ruled real hypersurface, nonflat complex space form, real hypersurfaces of type (A2) in a complex projective space, geodesics, structure torsion, Hopf manifold, 13, and 51

Type:

model:article and TEXT

Format:

print, bez média, and svazek

Description:

In the class of real hypersurfaces M²n−¹ isometrically immersed into a nonflat complex space form Mn(c) of constant holomorphic sectional curvature c (≠ 0) which is either a complex projective space ℂPn(c) or a complex hyperbolic space ℂHn(c) according as c > 0 or c < 0, there are two typical examples. One is the class of all real hypersurfaces of type (A) and the other is the class of all ruled real hypersurfaces. Note that the former example are Hopf manifolds and the latter are non-Hopf manifolds. In this paper, inspired by a simple characterization of all ruled real hypersurfaces in Mn(c), we consider a certain real hypersurface of type (A2) in ℂPn(c) and give a geometric characterization of this Hopf manifold., Byung Hak Kim, In-Bae Kim, Sadahiro Maeda., and Obsahuje bibliografii

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

271-278

Source:

Czechoslovak Mathematical Journal | 2017 Volume:67 | Number:1

Harvested from:

CDK

Metadata only:

false