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        DEFORMATION OF CARTAN CURVATURE ON FINSLER MANIFOLDS

        Bidabad, Behroz,Shahi, Alireza,Ahmadi, Mohamad Yar Korean Mathematical Society 2017 대한수학회보 Vol.54 No.6

        Here, certain Ricci flow for Finsler n-manifolds is considered and deformation of Cartan hh-curvature, as well as Ricci tensor and scalar curvature, are derived for spaces of scalar flag curvature. As an application, it is shown that on a family of Finsler manifolds of constant flag curvature, the scalar curvature satisfies the so-called heat-type equation. Hence on a compact Finsler manifold of constant flag curvature of initial non-negative scalar curvature, the scalar curvature remains non-negative by Ricci flow and blows up in a short time.

      • KCI등재

        Deformation of Cartan curvature on Finsler manifolds

        Behroz Bidabad,Alireza Shahi,Mohamad Yar Ahmadi 대한수학회 2017 대한수학회보 Vol.54 No.6

        Here, certain Ricci flow for Finsler $n$-manifolds is considered and deformation of Cartan $hh$-curvature, as well as Ricci tensor and scalar curvature, are derived for spaces of scalar flag curvature. As an application, it is shown that on a family of Finsler manifolds of constant flag curvature, the scalar curvature satisfies the so-called heat-type equation. Hence on a compact Finsler manifold of constant flag curvature of initial non-negative scalar curvature, the scalar curvature remains non-negative by Ricci flow and blows up in a short time.

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        Comparison of lidocaine with articaine buccal injection in reducing complications following impacted mandibular third molar surgery: a split-mouth randomized clinical trial

        Naghipour, Amin,Esmaeelinejad, Mohammad,Dehnad, Seyed Vahid,Shahi, Anahita,Jarrahi, Alireza The Korean Dental Society of Anesthsiology 2020 Journal of Dental Anesthesia and Pain Medicine Vol.20 No.4

        Background: Complications following impacted third molar surgery significantly affect patients' quality of life during the immediate postoperative period. This study aimed to achieve the proper anesthesia method by comparing the effect of the application of lidocaine alone with the application of lidocaine and articaine simultaneously in reducing the complications during and following impacted mandibular third molar surgery. Methods: The study design was a split-mouth double-blind randomized clinical trial. The study was conducted on 13 patients (26 samples) referred for elective surgical removal of bilateral impacted mandibular third molar with similar difficulty on both sides. Each patient underwent similar surgical procedures on two separate appointments. Each patient randomly received 2% lidocaine for conventional inferior alveolar nerve block and 4% articaine for local infiltration before the surgery on one side (group A) and 2% lidocaine alone (for both block anesthesia and infiltration) before the surgery on the other side (group B). Intraoperative and postoperative variables for both groups were established and statistically analyzed. Results: The findings showed that pain on the first day after surgery in group A was significantly lower than that in group B. The patients in group A mentioned experiencing less discomfort following the surgery. The increased horizontal swelling on the first and third days following surgery and oblique swelling on the seventh day in patients in group B were statistically significant. Conclusion: Choosing an appropriate anesthetic drug for oral surgery, specifically impacted third molar surgery, is dependent on the clinician's opinion, however; it seems that the combination of lidocaine and articaine may control the patient's pain significantly better than lidocaine alone.

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