Almost hyper-Hermitian structures in bundle spaces over manifolds with almost contact $3$-structure

Title:

Almost hyper-Hermitian structures in bundle spaces over manifolds with almost contact $3$-structure

Creator:

Cabrera, Francisco Martín

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:988761c8-4c96-4bbf-af5e-63cbbf686fcd
uuid:988761c8-4c96-4bbf-af5e-63cbbf686fcd

Subject:

math, hyper-Hermitian structures, and Kähler manifolds

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

We consider almost hyper-Hermitian structures on principal fibre bundles with one-dimensional fiber over manifolds with almost contact 3-structure and study relations between the respective structures on the total space and the base. This construction suggests the definition of a new class of almost contact 3-structure, which we called trans-Sasakian, closely connected with locally conformal quaternionic Kähler manifolds. Finally we give a family of examples of hypercomplex manifolds which are not quaternionic Kähler.

Language:

English

Rights:

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

Coverage:

545-563

Source:

Czechoslovak Mathematical Journal | 1998 Volume:48 | Number:3

Harvested from:

CDK

Metadata only:

false