HALF LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE TRANS-SASAKIAN MANIFOLD WITH A SEMI-SYMMETRIC METRIC CONNECTION
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초록
We study half lightlike submanifolds M of an indefinite trans-Sasakian manifold M with a semi-symmetric metric connection subject to the conditions that the characteristic vector field ζ of M is identical with the indefinite trans-Sasakian structure vector field ζ of M and ζ is tangent to M. Under the same conditions, we also characterize half lightlike submanifolds of an indefinite generalized Sasakian space form M (f1, f2, f2) with a semi-symmetric metric connection.
Abstract
We study half lightlike submanifolds M of an indefinite trans-Sasakian manifold M with a semi-symmetric metric connection subject to the conditions that the characteristic vector field ζ of M is identical with the indefinite trans-Sasakian structure vector field ζ of M and ζ is tangent to M. Under the same conditions, we also characterize half lightlike submanifolds of an indefinite generalized Sasakian space form M (f1, f2, f2) with a semi-symmetric metric connection.
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