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In this paper it is proved that on an almost coK\"ahler $3$-manifold $M$, (i) $M$ is $h$-semisymmetric, (ii) the curvature condition $Q\cdot R=0$ and (iii) $M$ is coK\"ahler are equivalent.
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참고문헌 (17)
참고문헌 신청
D. E. Blair / 1967 / The theory of quasi-Sasakian structures / J. Dierential Geometry 1:331~345
D. E. Blair / 2010 / Riemannian Geometry of Contact and Symplectic Manifolds / Birkhauser Boston, Inc.
B. Cappelletti-Montano / 2013 / A survey on cosymplectic geometry / Rev. Math. Phys 25(10):55
P. Dacko / 2005 / PDEs, submanifolds and ane dierential geometry / Polish Acad. Sci. Inst. Math. :211~220
K. Erken / 2013 / A class of 3-dimensional almost cosymplectic manifolds / Turkish J. Math 37(5):884~894
D. E. Blair / 2010 / Riemannian Geometry of Contact and Symplectic Manifolds / Birkhauser Boston, Inc.
B. Cappelletti-Montano / 2013 / A survey on cosymplectic geometry / Rev. Math. Phys 25(10):55
P. Dacko / 2005 / PDEs, submanifolds and ane dierential geometry / Polish Acad. Sci. Inst. Math. :211~220
K. Erken / 2013 / A class of 3-dimensional almost cosymplectic manifolds / Turkish J. Math 37(5):884~894
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