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H-conformal anti-invariant submersions from almost quaternionic Hermitian manifolds
Czechoslovak Mathematical Journal, Tome 70 (2020) no. 3, pp. 631-656 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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.
DOI : 10.21136/CMJ.2020.0264-18
Classification : 53C15, 53C26, 53C43
Keywords: horizontally conformal submersion; quaternionic manifold; totally geodesic 
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     title = {H-conformal anti-invariant submersions from almost quaternionic {Hermitian} manifolds},
     journal = {Czechoslovak Mathematical Journal},
     pages = {631--656},
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     mrnumber = {4151696},
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     url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2020.0264-18/}
}
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Park, Kwang Soon. H-conformal anti-invariant submersions from almost quaternionic Hermitian manifolds. Czechoslovak Mathematical Journal, Tome 70 (2020) no. 3, pp. 631-656. doi: 10.21136/CMJ.2020.0264-18

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