Abstract:
As a generalization of almost
Hermitian submersions and anti-invariant submersions, we introduce
slant submersions from almost Hermitian manifolds onto Riemannian
manifolds. We give examples, investigate the geometry of
foliations which are arisen from the definition of a Riemannian
submersion and check the harmonicity of such submersions. We also
find necessary and sufficient conditions for a slant submersion to
be totally geodesic. Moreover, we obtain a decomposition theorem
for the total manifold of
such submersions.
Key Words: Riemannian submersion, Hermitian manifold,
almost Hermitian submersion, anti-invariant Riemannian submersion,
slant submersion.
2000 Mathematics Subject Classification: Primary: 53C15;
Secondary: 53B20,53C43.
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