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Indefinite Generalized Sasakian Space Form Admitting a Lightlike Hypersurface
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In this paper, we study the geometry of indefinite generalized Sasakian space form bar{M}(f₁, f₂, f₃) admitting a lightlike hypersurface M subject such that the almost contact structure vector field ζ of bar M(f₁, f₂, f₃) is tangent to M. We prove a classification theorem of such an indefinite generalized Sasakian space form.
Abstract
In this paper, we study the geometry of indefinite generalized Sasakian space form bar{M}(f₁, f₂, f₃) admitting a lightlike hypersurface M subject such that the almost contact structure vector field ζ of bar M(f₁, f₂, f₃) is tangent to M. We prove a classification theorem of such an indefinite generalized Sasakian space form.
참고문헌 (12)
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- K. L. Duggal., "Di®erential geometry of lightlike submanifolds" (2010), Frontiers in Mathematics
- D. H. Jin, "Geometry of lightlike hypersurfaces of an inde¯nite Sasakian manifold", Indian J. of Pure and Applied Math, 41(4), pp.569~581 (2010)
- D. H. Jin, "The curvatures of lightlike hypersurfaces of an inde¯nite Kenmotsu mani-fold", Balkan J. Geo. Its Appl, 17(1), pp.49~57 (2012)
- D. H. Jin, "Non-existence of screen homothetic half lightlike submanifolds of an indef-inite Kenmotsu manifold", Balkan J. Geo. Its Appl, 18(1), pp.22~30 (2013)
- 진대호, "GEOMETRY OF LIGHTLIKE HYPERSURFACES OF AN INDEFINITE COSYMPLECTIC MANIFOLD", 대한수학회논문집, 27(1), pp.185~195 (2012), 대한수학회
- D. H. Jin., "Generic lightlike submanifolds of an inde¯nite cosymplectic manifold", Prob. in Engineering, 61, pp.1~16
- T. H. Kang., "Lightlike hypersurfaces of inde¯nite Sasakian manifolds", Indian J. Pure and Apple., Math, 34, pp.1369~1380 (2003)
- J. A. Oubina, "New classes of almost contact metric structures", Publ. Math. Debrecen, 32, pp.187~193 (1985)
관련 논문AI추천
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