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H-slant submersions. (English) Zbl 1237.53016

Summary: We define the notions of almost h-slant submersion and h-slant submersion which can be seen as extended versions of that of slant submersion [B. Ṣahin, Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 54(102), No. 1, 93–105 (2011; Zbl 1224.53054)]. We obtain some theorems realted to the slant submersion(s) cases. Finally, we construct some examples of almost h-slant submersions and h-slant submersions.

MSC:

53B20 Local Riemannian geometry
53C26 Hyper-Kähler and quaternionic Kähler geometry, “special” geometry
53C43 Differential geometric aspects of harmonic maps

Citations:

Zbl 1224.53054
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