Title of article
TOTALLY REAL SUBMANIFOLDS OF AN INDEFINITE KAEHLER MANIFOLD WITH A COMPLEX SEMI-SYMMETRIC METRIC CONNECTION
Author/Authors
Yücesan, Ahmet Süleyman Demirel University - Department of Mathematics, Turkey
From page
113
To page
122
Abstract
We show that totally real submanifolds of an indefinite Kaehler manifold admitting a complex semi-symmetric metric connection admit a semi-symmetric metric connection. We also characterize the case where the Ricci tensor of this connection is symmetric, and give a necessary condition for conformalflatness of a submanifold in these circumstances.
Keywords
semi , symmetric metric connection , indefinite Kaehler manifold , totally real submanifold , the Weyl conformal curvature , conformally flat 2000 Mathematics Subject Classification: 53B15 , 53C40 , 53C50
Journal title
The Arabian Journal for Science and Engineering
Journal title
The Arabian Journal for Science and Engineering
Record number
2588203
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