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The paper deals with lightlike hypersurfaces which are locally symmetric, semi-symmetric and Ricci semi-symmetric in indefinite Kenmotsu manifold having constant $\overline{\phi}$-holomorphic sectional curvature $c$. We obtain that these hypersurfaces are totally goedesic under certain conditions. The non-existence condition of locally symmetric lightlike hypersurfaces are given. Some Theorems of specific lightlike hypersurfaces are established. We prove, under a certain condition, that in lightlike hypersurfaces of an indefinite Kenmotsu space form, tangent to the structure vector field, the parallel, semi-parallel, local symmetry, semi-symmetry and Ricci semi-symmetry notions are equivalent.
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참고문헌 (21)
참고문헌 신청
B. E. Abdalla / 2002 / A Ricci-semi-symmetric hypersurface of Euclidean space which is not semi-symmetric / Proc. Amer. Math. Soc 130(6):1805~1808
A. Bejancu / 1982 / Umbilical semi-invariant submanifolds of a Sasakian manifold / Tensor (N. S.) 37(1):203~213
A. Bonome / 1997 / Curvature of indefinite almost contact manifolds / J. Geom 58(1-2):66~86
C. Calin / 1998 / Contribution to geometry of CR-submanifold
F. Defever / 2000 / Ricci-semisymmetric hypersurfaces / Balkan J. Geom. Appl 5(1):81~91
A. Bejancu / 1982 / Umbilical semi-invariant submanifolds of a Sasakian manifold / Tensor (N. S.) 37(1):203~213
A. Bonome / 1997 / Curvature of indefinite almost contact manifolds / J. Geom 58(1-2):66~86
C. Calin / 1998 / Contribution to geometry of CR-submanifold
F. Defever / 2000 / Ricci-semisymmetric hypersurfaces / Balkan J. Geom. Appl 5(1):81~91
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