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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2020 / Cilt: 49 - Sayı: 5

Almost h-conformal semi-invariant submersions from almost quaternionic Hermitian manifolds

Kwang Soon PARK
Sayfa
1804–1824
Yayın Tarihi
2022-10-18
DOI
—
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Finally, we give some examples of such maps.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:As a generalization of Riemannian submersions, horizontally conformal submersions, semi-invariant submersions, h-semi-invariant submersions, almost h-semi-invariant submersions, conformal semi-invariant submersions, we introduce h-conformal semi-invariant submersions and almost h-conformal semi-invariant submersions from almost quaternionic Hermitian manifolds onto Riemannian manifolds.
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Temel Bulgular & Veri:We study their properties: the geometry of foliations, the conditions for total manifolds to be locally product manifolds, the conditions for such maps to be totally geodesic.
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Sonuç & Katkı:Finally, we give some examples of such maps.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:horizontally conformal submersion · quaternionic manifold · totally geodesic

Abstract

As a generalization of Riemannian submersions, horizontally conformal submersions, semi-invariant submersions, h-semi-invariant submersions, almost h-semi-invariant submersions, conformal semi-invariant submersions, we introduce h-conformal semi-invariant submersions and almost h-conformal semi-invariant submersions from almost quaternionic Hermitian manifolds onto Riemannian manifolds. We study their properties: the geometry of foliations, the conditions for total manifolds to be locally product manifolds, the conditions for such maps to be totally geodesic. Finally, we give some examples of such maps.

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Bu Makaleye Atıf Yap

PARK, K. S. (2022). Almost h-conformal semi-invariant submersions from almost quaternionic Hermitian manifolds. Hacettepe Journal of Mathematics and Statistics, Cilt: 49 - Sayı: 5, 1804–1824. https://ajindex.com/articles/529560

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