Quasi hemi-slant submanifolds of cosymplectic manifolds
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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.
Abstract
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.
참고문헌 (26)
- A. Ali, "Geometry of warped product pointwise semi-slant subman-ifolds of cosymplectic manifolds and its applications", Int. J. Geom. Meth. Mod. Phy, 14, pp.1750042~ (2017)
- A. Ali, "Geometry of warped product pointwise semi-slant submanifold in Kaehler manifolds", Filomat, 31, pp.3771~3788 (2017)
- G. Ayar, "M-projective curvature tensor over cosymplectic manifolds", Differential Geometry - Dynamical Systems, 21, pp.23~33 (2019)
- M. Barbero-Linan, "Unified formalison for nonautonomous mechanical systems", J. Math. Phys, 49, pp.062902~062914 (2008)
- A. Benjancu, "Papaghuic, Semi-invariant Submanifolds of a Sasakian man-ifold", An. St. Univ. AI. I. Cuza. Iasi. Math. (N.S.), 27, pp.163~170 (1981)
- A. M. Blaga, "Invariant, anti-invariant and slant submanifolds of para-Kenmotsu manifold", BSG Publ, 24, pp.125~138 (2017)
- D. E. Blair, "Contact manifold in Riemannian geometry" (1976), Springer-Verlag
- D. E. Blair, "Topology of almost contact manifolds", J. Di er-ential Geometry, 1, pp.347~354 (1967)
- J. L. Cabrerizo, "Slant submanifolds in Sasakian manifolds", Glasg. Math. J, 42, pp.125~138 (2000)
- B. Y. Chen, "Geometry of slant submanifolds", pp.1990
- D. Chinea, "Topology of cosymplectic manifolds", J. Math. Pures Appl, 72(9), pp.567~591 (1993)
- M. De-Leon, "Hamil-tonian system on K-cosymplectic manifolds", J. Math. Phys, 39, pp.876~893 (1998)
- U. C. De, "On pseudo-slant submanifolds of trans-Sasakian mani-folds", Proc. Esto. Acad. sci, 60, pp.1~11 (2011)
- U. C. De, "Complex manifolds and Contact manifolds" (2009), Narosa Publ. House
- M. Kon, "Remarks on anti-invariant submanifolds of a Sasakian manifold", Tensor(N. S. ), 30, pp.239~245 (1976)
- 이재원, "Pointwise slant submersions", 대한수학회보, 51(4), pp.1115~1126 (2014), 대한수학회
- A. Lotta, "Slant submanifold in contact geometry", Bull. Math. Soc. Romanie, 39, pp.183~198 (1996)
- N. Papaghuic, "Semi-slant submanifold of Kaehlerian manifold", An. St. Univ. AI. I. Cuza. Iasi. Math. (N. S. ), 9, pp.55~61 (1994)
- 박광순, "Semi-slant submersions", 대한수학회보, 50(3), pp.951~962 (2013), 대한수학회
- B. Sahin, "Warped product submanifolds of a Kaehler manifold with a slant factor", Ann. Pol. Math, 95, pp.107~126 (2009)
- B. Sahin, "Slant submersions from almost Hermitian manifolds", Bull. math. de la Soc. des Sciences Math. de Roumanie, 54, pp.93~105 (2011)
- F. Sahin, "Cohomology of hemi-slant submanifolds of a Kaehler manifolds", J. Adv. Studies Topology, 5, pp.27~31 (2014)
- M. H. Shahid, "Slant submanifolds of cosymplectic manifold", Analele Sti-intifice ale Universitatii Al I Cuza din Iasi-Matematica, 50, pp.33~50 (2004)
- S. S. Shukla, "Screen Pseudo-Slant Lightlike Submanifolds of In-definite Sasakian Manifolds", Mediterranean Journal of Mathematics, 13, pp.789~802 (2016)
- S. Uddin, "Warped product bi-slant immersions in Kaehler manifolds", Mediterr. J. Math, 14, pp.14~95 (2017)
- Sunil Kumar Yadav, "Certain results on submanifolds of generalized Sasakian space-forms", 호남수학학술지, 42(1), pp.123~137 (2020), 호남수학회
