On some classes of weakly Z-symmetric manifolds
Commun. Korean Math. Soc.
Published online March 16, 2020
Kingbawl Lalnunsiami and Jay Prakash Singh
Mizoram University
Abstract : The object of the paper is to study some geometric proper-
ties of weakly Z-symmetric manifolds. Weakly Z-symmetric manifolds
with Codazzi type and cyclic parallel Z tensor are studied. We consider
Einstein weakly Z-symmetric manifolds and conformally
at weakly Z-
symmetric manifolds. Next, it is shown that a totally umbilical hyper-
surface of a conformally
at weakly Z-symmetric manifolds is of quasi
constant curvature. Also, decomposable weakly Z-symmetric manifolds
are studied and some examples are constructed to support the existence
of such manifolds.
Keywords : weakly Z-symmetric manifolds, Einstein weakly Z-symmetric manifolds, conformally at weakly Z-symmetric manifolds, decomposable weakly Z- symmetric manifolds
MSC numbers : 53B20, 53B21, 53C25
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