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

Park, Kwang Soon

Czechoslovak Mathematical Journal, Tome 70 (2020) no. 3, pp. 631-656

Abstract (VO)

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.

Détail

DOI : 10.21136/CMJ.2020.0264-18

Classification : 53C15, 53C26, 53C43
Keywords: horizontally conformal submersion; quaternionic manifold; totally geodesic

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