A β-tensor on Kaehler manifolds and its geometric characterizations
2021 ◽
pp. 2150183
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In this paper, we first introduce a new notion [Formula: see text]-tensor on Hermitian manifold and particularly, we present some geometric characterizations of such a tensor on the Kaehler manifold. Here, we investigate the Kaehler submersion whose total space is equipped with the [Formula: see text]-tensor and obtain some results. Also, we deal with a Kaehler submersion with totally geodesic fibers such that the total space admits [Formula: see text]-Ricci soliton and [Formula: see text]-tensor. Finally, we give necessary conditions for which any fiber and base manifold of Kaehler submersion is [Formula: see text]-Ricci soliton or [Formula: see text]-Kaehler-Einstein.
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2017 ◽
Vol 10
(2)
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2020 ◽
Vol 35
(1)
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pp. 167
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2019 ◽
Vol 16
(03)
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pp. 1950037
1990 ◽
Vol 114
(1-2)
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pp. 39-55
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