Semi-invariant ξ⊥-Riemannian submersions from almost contact metric manifolds
2017 ◽
Vol 14
(05)
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pp. 1750074
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Keyword(s):
As a generalization of anti-invariant [Formula: see text]-Riemannian submersions, we introduce semi-invariant [Formula: see text]-Riemannian submersions from Sasakian manifolds onto Riemannian manifolds. We give examples, investigating the geometry of foliations which arise from the definition of a Riemannian submersion and proving a necessary and sufficient condition for a semi-invariant [Formula: see text]-Riemannian submersion to be totally geodesic. Moreover, we study semi-invariant [Formula: see text]-Riemannian submersions with totally umbilical fibers.
2013 ◽
Vol 56
(1)
◽
pp. 173-183
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2013 ◽
Vol 44
(4)
◽
pp. 395-409
◽
2021 ◽
pp. 2150169
2004 ◽
Vol 105
(4)
◽
pp. 291-312
◽
2013 ◽
Vol 2013
◽
pp. 1-7
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Keyword(s):
2011 ◽
Vol 81
(1)
◽
pp. 101-114
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