Some curvature properties of \( (κ, \mu)\) contact space forms
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DOI:
https://doi.org/10.26637/mjm301/005Abstract
The object of the present paper is to find Ricci tensor of \((k, \mu)\) space forms. In particular we prove that a three dimensional \((k, \mu)\) space forms is \(\eta\)-Einstein for \(\mu=\frac{1}{2}\). We also study three dimensional \((k, \mu)\) space forms with \(\eta\)- parallel and cyclic parallel Ricci tensor for \(\mu=\frac{1}{2}\). We also prove that every \((k, \mu)\) space forms is locally \(\phi\)- symmetric.
Keywords:
locally φ− symmetric, \((k, \mu)\) contact space forms, \(\eta\)−Einstein, \(\eta\)\− parallel and cyclic parallel Ricci tensorMathematics Subject Classification:
53C25, 53D15- Pages: 45-50
- Date Published: 01-01-2015
- Vol. 3 No. 01 (2015): Malaya Journal of Matematik (MJM)
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