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η-RICCI SOLITONS ON PARA-KENMOTSU MANIFOLDS WITH SOME CURVATURE CONDITIONS
Ashis Mondal 강원경기수학회 2021 한국수학논문집 Vol.29 No.4
In the present paper, we study η-Ricci solitons on para-Kenmotsu manifolds with Codazzi type of the Ricci tensor. We study η-Ricci solitons on paraKenmotsu manifolds with cyclic parallel Ricci tensor. We also study η-Ricci solitons on ϕ-conformally semi-symmetric, ϕ-Ricci symmetric and conformally Ricci semi-symmetric para-Kenmotsu manifolds. Finally, we construct an example of a three-dimensional para-Kenmotsu manifold which admits η-Ricci solitons.
ON f-KENMOTSU MANIFOLDS ADMITTING SCHOUTEN-VAN KAMPEN CONNECTION
Ashis Mondal 강원경기수학회 2021 한국수학논문집 Vol.29 No.2
In the present paper, we study three-dimensional f-Kenmotsu manifolds admitting the Schouten-Van Kampen connection. We study the concircular curvature tensor of a three-dimensional f-Kenmotsu manifold with respect to the Schouten-Van Kampen connection. Finally, we have cited an example of a three-dimensional f-Kenmotsu manifold admitting Schouten-Van Kampen connection which verify our results.
( Amrita Sil ),( Hrishikesh Kumar ),( Rahul Deb Mondal ),( Sidharth Sankar Anand ),( Anirban Ghosal ),( Ashis Datta ),( Sandesh V Sawant ),( Vaibhavi Kapatkar ),( Ganesh Kadhe ),( Sameer Rao ) 대한통증학회 2018 The Korean Journal of Pain Vol.31 No.3
Background: Vitamin B12 deficiency has been associated with peripheral neuropathy, loss of sensation in the peripheral nerves, and weakness in the lower extremities. Methylcobalamin is the most effective analogue of vitamin B12 used to treat or prevent the complications associated with vitamin B12 deficiency. The current study aimed to compare the serum cobalamin levels after administration of two different regimes of methylcobalamin in peripheral neuropathy patients. Methods: The present study was a prospective, randomized, comparative study. The study consisted of two parallel groups, group A (methylcobalamin 500 μg injection intramuscularly three times a week) and group B (methylcobalamin 1500 μg injection intramuscularly once a week). A control group of healthy volunteers was also included. Results: A total of 24 patients (12 in each group) were included in the study. Five healthy volunteers were also included as a control in each group. At the end of treatment, serum cobalamin levels were significantly (P = 0.028) higher in group A (1892.08 ± 234.50) as compared with group B (1438.5 ± 460.32). The serum cobalamin levels in Group A healthy volunteers were also two times higher than that of group B (P = 0.056). Both the LANSS scale and DN4 questionnaire reported similar results at end of treatment. Conclusions: The 500 μg methylcobalamin thrice weekly regime is more effective in increasing the serum cobalamin levels as compared to the 1500 μg methylcobalamin once weekly regime. (Korean J Pain 2018; 31: 183-190)