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We introduce and study quasi hemi-slant submanifolds of almost contact metric manifolds (especially, cosymplectic manifolds) and validate its existence by providing some non-trivial examples. Necessary and sufficient conditions for integrability of distributions, which are involved in the definition of quasi hemi-slant submanifolds of cosymplectic manifolds, are obtained. Also, we investigate the necessary and sufficient conditions for quasi hemi-slant submanifolds of cosymplectic manifolds to be totally geodesic and study the geometry of foliations determined by the distributions.
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참고문헌 (26)
참고문헌 신청
A. Ali / 2017 / Geometry of warped product pointwise semi-slant subman-ifolds of cosymplectic manifolds and its applications / Int. J. Geom. Meth. Mod. Phy 14:1750042
A. Ali / 2017 / Geometry of warped product pointwise semi-slant submanifold in Kaehler manifolds / Filomat 31:3771~3788
G. Ayar / 2019 / M-projective curvature tensor over cosymplectic manifolds / Differential Geometry - Dynamical Systems 21:23~33
M. Barbero-Linan / 2008 / Unified formalison for nonautonomous mechanical systems / J. Math. Phys 49:062902~062914
A. Benjancu / 1981 / Papaghuic, Semi-invariant Submanifolds of a Sasakian man-ifold / An. St. Univ. AI. I. Cuza. Iasi. Math. (N.S.) 27:163~170
A. Ali / 2017 / Geometry of warped product pointwise semi-slant submanifold in Kaehler manifolds / Filomat 31:3771~3788
G. Ayar / 2019 / M-projective curvature tensor over cosymplectic manifolds / Differential Geometry - Dynamical Systems 21:23~33
M. Barbero-Linan / 2008 / Unified formalison for nonautonomous mechanical systems / J. Math. Phys 49:062902~062914
A. Benjancu / 1981 / Papaghuic, Semi-invariant Submanifolds of a Sasakian man-ifold / An. St. Univ. AI. I. Cuza. Iasi. Math. (N.S.) 27:163~170
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