H-anti-invariant submersions from almost quaternionic Hermitian manifolds

Kwang-Soon Park

Czechoslovak Mathematical Journal (2017)

  • Volume: 67, Issue: 2, page 557-578
  • ISSN: 0011-4642

Abstract

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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.

How to cite

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Park, Kwang-Soon. "H-anti-invariant submersions from almost quaternionic Hermitian manifolds." Czechoslovak Mathematical Journal 67.2 (2017): 557-578. <http://eudml.org/doc/288224>.

@article{Park2017,
abstract = {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.},
author = {Park, Kwang-Soon},
journal = {Czechoslovak Mathematical Journal},
keywords = {Riemannian submersion; Lagrangian Riemannian submersion; decomposition theorem; totally geodesic},
language = {eng},
number = {2},
pages = {557-578},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {H-anti-invariant submersions from almost quaternionic Hermitian manifolds},
url = {http://eudml.org/doc/288224},
volume = {67},
year = {2017},
}

TY - JOUR
AU - Park, Kwang-Soon
TI - H-anti-invariant submersions from almost quaternionic Hermitian manifolds
JO - Czechoslovak Mathematical Journal
PY - 2017
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 67
IS - 2
SP - 557
EP - 578
AB - 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.
LA - eng
KW - Riemannian submersion; Lagrangian Riemannian submersion; decomposition theorem; totally geodesic
UR - http://eudml.org/doc/288224
ER -

References

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