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http://dx.doi.org/10.5831/HMJ.2019.41.4.707

CLAIRAUT ANTI-INVARIANT SUBMERSIONS FROM COSYMPLECTIC MANIFOLDS  

Tastan, Hakan Mete (Department of Mathematics, Istanbul University)
Aydin, Sibel Gerdan (Department of Mathematics, Istanbul University)
Publication Information
Honam Mathematical Journal / v.41, no.4, 2019 , pp. 707-724 More about this Journal
Abstract
We investigate the new Clairaut conditions for anti-invariant submersions whose total manifolds are cosymplectic. In particular, we prove the fibers of a proper Clairaut Lagrangian submersion admitting horizontal Reeb vector field are one dimensional and classify such submersions. We also check the existence of the proper Clairaut anti-invariant submersions in the case of the Reeb vector field is vertical. Moreover, illustrative examples for both trivial and proper Clairaut anti-invariant submersions are given.
Keywords
Riemannian submersion; anti-invariant submersion; Lagrangian submersion; Clairaut submersion; cosymplectic manifold;
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Times Cited By KSCI : 3  (Citation Analysis)
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