Geodesic
H-anti-invariant submersions from almost quaternionic Hermitian manifolds
Czechoslovak Mathematical Journal, Tome 67 (2017) no. 2, pp. 557-578

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

As a generalization of anti-invariant Riemannian submersions and Lagrangian Riemannian submersions, we introduce the notions of h-anti-invariant submersions and h-Lagrangian submersions from almost quaternionic Hermitian manifolds onto Riemannian manifolds. We obtain characterizations and investigate some properties: the integrability of distributions, the geometry of foliations, and the harmonicity of such maps. We also find a condition for such maps to be totally geodesic and give some examples of such maps. Finally, we obtain some types of decomposition theorems.
DOI : 10.21136/CMJ.2017.0143-16
Classification : 53C15, 53C26
Keywords: Riemannian submersion; Lagrangian Riemannian submersion; decomposition theorem; totally geodesic 
@article{10_21136_CMJ_2017_0143_16,
     author = {Park, Kwang-Soon},
     title = {H-anti-invariant submersions from almost quaternionic {Hermitian} manifolds},
     journal = {Czechoslovak Mathematical Journal},
     pages = {557--578},
     publisher = {mathdoc},
     volume = {67},
     number = {2},
     year = {2017},
     doi = {10.21136/CMJ.2017.0143-16},
     mrnumber = {3661061},
     zbl = {06738539},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2017.0143-16/}
}
TY  - JOUR
AU  - Park, Kwang-Soon
TI  - H-anti-invariant submersions from almost quaternionic Hermitian manifolds
JO  - Czechoslovak Mathematical Journal
PY  - 2017
SP  - 557
EP  - 578
VL  - 67
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2017.0143-16/
DO  - 10.21136/CMJ.2017.0143-16
LA  - en
ID  - 10_21136_CMJ_2017_0143_16
ER  - 
%0 Journal Article
%A Park, Kwang-Soon
%T H-anti-invariant submersions from almost quaternionic Hermitian manifolds
%J Czechoslovak Mathematical Journal
%D 2017
%P 557-578
%V 67
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2017.0143-16/
%R 10.21136/CMJ.2017.0143-16
%G en
%F 10_21136_CMJ_2017_0143_16
Park, Kwang-Soon. H-anti-invariant submersions from almost quaternionic Hermitian manifolds. Czechoslovak Mathematical Journal, Tome 67 (2017) no. 2, pp. 557-578. doi: 10.21136/CMJ.2017.0143-16

Cité par Sources :