http://chineseinput.net/에서 pinyin(병음)방식으로 중국어를 변환할 수 있습니다.
변환된 중국어를 복사하여 사용하시면 됩니다.
YAMABE SOLITONS ON KENMOTSU MANIFOLDS
Hui, Shyamal Kumar,Mandal, Yadab Chandra Korean Mathematical Society 2019 대한수학회논문집 Vol.34 No.1
The present paper deals with a study of infinitesimal CL-transformations on Kenmotsu manifolds, whose metric is Yamabe soliton and obtained sufficient conditions for such solitons to be expanding, steady and shrinking. Among others, we find a necessary and sufficient condition of a Yamabe soliton on Kenmotsu manifold with respect to CL-connection to be Yamabe soliton on Kenmotsu manifold with respect to Levi-Civita connection. We found the necessary and sufficient condition for the Yamabe soliton structure to be invariant under Schouten-Van Kampen connection. Finally, we constructed an example of steady Yamabe soliton on 3-dimensional Kenmotsu manifolds with respect to Schouten-Van Kampen connection.
A NOTE ON (k, μ)′ -ALMOST KENMOTSU MANIFOLDS
( Sunil Kumar Yadav ),( Yadab Chandra Mandal ),( Shyamal Kumar Hui ) 호남수학회 2021 호남수학학술지 Vol.43 No.4
The present paper deals with the study of generalized quasiconformal curvature tensor inside the setting of (k, μ)′ -almost Kenmotsu manifold with respect to η-Ricci soliton. Certain consequences of these curvature tensor on such manifold are likewise displayed. Finally, we illustrate some examples based on this study.