Clairaut Anti-invariant Submersions from Sasakian and Kenmotsu Manifolds

Clairaut Anti-invariant Submersions from Sasakian and Kenmotsu Manifolds

We investigate new Clairaut conditions for anti-invariant submersions from Sasakian and Kenmotsu manifolds onto Riemannian manifolds. We prove that there do not exist Clairaut anti-invariant submersion admitting vertical Reeb vector field in case of the total manifold is Sasakian. Several illustrati...

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Veröffentlicht in:Mediterranean journal of mathematics 2017-12, Vol.14 (6), p.1-17, Article 235
Hauptverfasser: Taṣtan, Hakan Mete, Gerdan, Sibel
Format: Artikel
Sprache:eng
Schlagworte:
Invariants
Mathematics
Mathematics and Statistics
Riemann manifold
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Zusammenfassung:We investigate new Clairaut conditions for anti-invariant submersions from Sasakian and Kenmotsu manifolds onto Riemannian manifolds. We prove that there do not exist Clairaut anti-invariant submersion admitting vertical Reeb vector field in case of the total manifold is Sasakian. Several illustrative examples are also included.
ISSN:1660-5446
1660-5454
DOI:10.1007/s00009-017-1028-1