H-conformal anti-invariant submersions from almost quaternionic Hermitian manifolds

Kwang Soon Park

Czechoslovak Mathematical Journal (2020)

  • Volume: 70, Issue: 3, page 631-656
  • ISSN: 0011-4642

Abstract

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We introduce the notions of h-conformal anti-invariant submersions and h-conformal Lagrangian submersions from almost quaternionic Hermitian manifolds onto Riemannian manifolds as a generalization of Riemannian submersions, horizontally conformal submersions, anti-invariant submersions, h-anti-invariant submersions, h-Lagrangian submersion, conformal anti-invariant submersions. We investigate their properties: the integrability of distributions, the geometry of foliations, the conditions for such maps to be totally geodesic, etc. Finally, we give some examples of such maps.

How to cite

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Park, Kwang Soon. "H-conformal anti-invariant submersions from almost quaternionic Hermitian manifolds." Czechoslovak Mathematical Journal 70.3 (2020): 631-656. <http://eudml.org/doc/297087>.

@article{Park2020,
abstract = {We introduce the notions of h-conformal anti-invariant submersions and h-conformal Lagrangian submersions from almost quaternionic Hermitian manifolds onto Riemannian manifolds as a generalization of Riemannian submersions, horizontally conformal submersions, anti-invariant submersions, h-anti-invariant submersions, h-Lagrangian submersion, conformal anti-invariant submersions. We investigate their properties: the integrability of distributions, the geometry of foliations, the conditions for such maps to be totally geodesic, etc. Finally, we give some examples of such maps.},
author = {Park, Kwang Soon},
journal = {Czechoslovak Mathematical Journal},
keywords = {horizontally conformal submersion; quaternionic manifold; totally geodesic},
language = {eng},
number = {3},
pages = {631-656},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {H-conformal anti-invariant submersions from almost quaternionic Hermitian manifolds},
url = {http://eudml.org/doc/297087},
volume = {70},
year = {2020},
}

TY - JOUR
AU - Park, Kwang Soon
TI - H-conformal anti-invariant submersions from almost quaternionic Hermitian manifolds
JO - Czechoslovak Mathematical Journal
PY - 2020
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 70
IS - 3
SP - 631
EP - 656
AB - We introduce the notions of h-conformal anti-invariant submersions and h-conformal Lagrangian submersions from almost quaternionic Hermitian manifolds onto Riemannian manifolds as a generalization of Riemannian submersions, horizontally conformal submersions, anti-invariant submersions, h-anti-invariant submersions, h-Lagrangian submersion, conformal anti-invariant submersions. We investigate their properties: the integrability of distributions, the geometry of foliations, the conditions for such maps to be totally geodesic, etc. Finally, we give some examples of such maps.
LA - eng
KW - horizontally conformal submersion; quaternionic manifold; totally geodesic
UR - http://eudml.org/doc/297087
ER -

References

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