Semi-slant Riemannian maps into almost Hermitian manifolds

Title:

Semi-slant Riemannian maps into almost Hermitian manifolds

Creator:

Park, Kwang-Soon and Şahin, Bayram

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:95626437-81ff-4bbf-b377-78bb318e8ffb
uuid:95626437-81ff-4bbf-b377-78bb318e8ffb

Subject:

Riemannian map, semi-slant Riemannian map, harmonic map, and totally geodesic map

Type:

model:article and TEXT

Description:

We introduce semi-slant Riemannian maps from Riemannian manifolds to almost Hermitian manifolds as a generalization of semi-slant immersions, invariant Riemannian maps, anti-invariant Riemannian maps and slant Riemannian maps. We obtain characterizations, investigate the harmonicity of such maps and find necessary and sufficient conditions for semi-slant Riemannian maps to be totally geodesic. Then we relate the notion of semi-slant Riemannian maps to the notion of pseudo-horizontally weakly conformal maps, which are useful for proving various complex-analytic properties of stable harmonic maps from complex projective space and give many examples of such maps.

Language:

English

Rights:

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

Coverage:

1045-1061

Source:

Czechoslovak Mathematical Journal | 2014 Volume:64 | Number:4

Harvested from:

CDK

Metadata only:

false