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Finsler metrics with straight geodesics on an open subset in Rn are thought to be projective. The flag curvature of any projective Finsler metric is known to be a scalar function of tangent vectors (the flag curvature must be a constant if it is Riemannian). We categorize locally projectively flat cubic (α, β)-metric with constant Ricci curvature and obtain cubic (α, β)-metric of zero flag curvature.

In this paper, we consider an η -Ricci soliton on the (LCS)n-manifolds (M, φ , ξ , η , g) satisfying certain curvature conditions likes: R(ξ , X) · S= 0 and W 2(ξ, X) · S=0. We show that on the (LCS)n-manifolds (M,φ ,ξ ,η ,g), the existence of η -Ricci soliton implies that (M, g) is a quasi-Einstein. Further, we discuss the existence of Ricci solitons with the potential vector field ξ. In the end, we construct the non-trivial examples of η -Ricci solitons on the (LCS)n-manifolds.

Background: Penile cancer is most prevalent in developing countries. Both the physiological and psychological consequences for the patient are critical. These consequences result from both the cancer diagnosis and the treatment's effects., Objective: The objective of this study was to evaluate the quality of life (QoL) of patients who have undergone partial penile amputation in terms of general well-being, sexual function, and urinary function., Materials and Methods: This retrospective observational study included 32 patients who underwent partial penile amputation. The european organisation for research and treatment of cancer core quality of life questionnaire (EORTC QLQ C-30) questionnaire was completed postoperatively. Erectile function and satisfaction were assessed retrospectively after partial penile amputation using the International Index of Erectile Function-15., Results: The mean age of the patients was 54.03 ± 16.02 years. The mean scores for erectile function, orgasm, sexual desire, satisfaction, and overall satisfaction were 16.28 ± 10.83, 7.50 ± 3.30, 5.72 ± 3.35, 8.84 ± 4.77, and 9.12 ± 0.83 preoperatively, and 14.03 ± 8.61, 6.88 ± 2.97, 5.72 ± 3.35, 7.94 ± 4.09, and 7.81 ± 1.00 postoperatively. Mean erectile function, orgasm, satisfaction, and overall satisfaction were significantly decreased postoperatively compared with preoperatively. Erectile function and overall satisfaction improved more in younger years from the preoperative to the postoperative period, whereas they improved less in older years., Conclusion: Although partial penile amputation for penile cancer provides adequate local disease management, appropriate counseling is crucial, especially when the QoL concerns general well-being, sexual function, and urinary function., (Copyright © 2024 Copyright: © 2024 Annals of African Medicine.)