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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.
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참고문헌 (33)
참고문헌 신청
M. A. Akyol / 2018 / Semi-invariant semi-Riemannian submersions / Commun. Fac. Sci. Univ. Ank. Sr. A1 Math. Stat 67(1):80~92
M. A. Akyol / 2017 / On semi-slant ξ⊥-Riemannian submersions / Mediterr. J. Math 14(6):20
S. Ali / 2013 / Generic Riemannian submersions / Tamkang J. Math 44(4):395~409
A. Beri / 2016 / Anti-invariant Riemannian submer-sions from Kenmotsu manifolds onto Riemannian manifolds / Turk. J. Math 40(3):540~552
D. E. Blair / 2002 / Riemannian geometry of contact and symplectic manifolds / Birkhauser
M. A. Akyol / 2017 / On semi-slant ξ⊥-Riemannian submersions / Mediterr. J. Math 14(6):20
S. Ali / 2013 / Generic Riemannian submersions / Tamkang J. Math 44(4):395~409
A. Beri / 2016 / Anti-invariant Riemannian submer-sions from Kenmotsu manifolds onto Riemannian manifolds / Turk. J. Math 40(3):540~552
D. E. Blair / 2002 / Riemannian geometry of contact and symplectic manifolds / Birkhauser
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