H-Ricci Solitons Onw3 Andw5 Semi-Symmetric Lp-Sasakian Manifolds
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Date
2020Author
Pambo, Samwel Onyango
Type
ThesisLanguage
enMetadata
Show full item recordAbstract
The goal of this project is to study some properties of h-Ricci soliton on LP-Sasakian
manifolds.
In this work, h-Ricci solitons on LP-Sasakian manifolds which satisfy the semi-symmetric
conditions R(X;Y) R(Z;U) = 0[28],also given by U.C. De [34] are considered.
Particularly, we based our study on
R(x ;X):W3(Y;Z) = 0 and R(x ;X):W5(Y;Z) = 0
The study is motivated by the results that are obtained in h-Ricci solitons on Para-kenmotsu
manifolds. This led us to study or simply to investigate the h-Ricci solitons on W3 and
W5 semi-symmetric LP-Sasakian manifolds satisfying the same conditions and see if a
similar results are obtained.In addition, we prove that W3 and W5 semi-symmetric LPSasakian
manifolds satisfying the semi-symmetric conditions R(x ;X):W3(Y;Z) = 0 and
R(x ;X):W5(Y;Z) = 0; and having the h-Ricci soliton structure are Einstein according to
the value of l and a further conditions
W3(x ;X) R(Y;Z) = 0 andW5(x ;X) R(Y;Z) = 0
where dot denote the derivative of algebra at every point of a tangent space,say Tp(U).
Publisher
University of Nairobi
Rights
Attribution-NonCommercial-NoDerivs 3.0 United StatesUsage Rights
http://creativecommons.org/licenses/by-nc-nd/3.0/us/Collections
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