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- 저자 : Jianbo Fang (검색결과 4 건)
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LAGUERRE CHARACTERIZATION OF SOME HYPERSURFACES
Fang, Jianbo,Li, Fengjiang Korean Mathematical Society 2016 대한수학회보 Vol.53 No.3
Let x : $^{Mn-1}{\rightarrow}{\mathbb{R}}^n$ ($n{\geq}4$) be an umbilical free hyper-surface with non-zero principal curvatures. Then x is associated with a Laguerre metric g, a Laguerre tensor L, a Laguerre form C, and a Laguerre second fundamental form B, which are invariants of x under Laguerre transformation group. We denote the Laguerre scalar curvature by R and the trace-free Laguerre tensor by ${\tilde{L}}:=L-{\frac{1}{n-1}}tr(L)g$. In this paper, we prove a local classification result under the assumption of parallel Laguerre form and an inequality of the type $${\parallel}{\tilde{L}}{\parallel}{\leq}cR$$ where $c={\frac{1}{(n-3){\sqrt{(n-2)(n-1)}}}$ is appropriate real constant, depending on the dimension.
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Laguerre characterization of some hypersurfaces
Jianbo Fang,Fengjiang Li 대한수학회 2016 대한수학회보 Vol.53 No.3
Let $x$ : ${M}^{n-1}\rightarrow{\mathbb R}^{n}$ $(n\geq4)$ be an umbilical free hypersurface with non-zero principal curvatures. Then $x$ is associated with a Laguerre metric $\mathbf{g}$, a Laguerre tensor $\mathbf{L}$, a Laguerre form $\mathbf{C}$, and a Laguerre second fundamental form $\mathbf{B}$, which are invariants of $x$ under Laguerre transformation group. We denote the Laguerre scalar curvature by $R$ and the trace-free Laguerre tensor by $\tilde{\mathbf{L}}:={\mathbf{L}}-\frac{1}{n-1}tr({\mathbf{L}})\mathbf{g}$. In this paper, we prove a local classification result under the assumption of parallel Laguerre form and an inequality of the type $$\|\tilde{\mathbf{L}}\|\leq cR,$$ where $c=\frac{1}{(n-3)\sqrt{(n-2)(n-1)}}$ is appropriate real constant, depending on the dimension.
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Ruihua Fang,Jian Li,Weiping Wen,Wei Sun,Rui Xu,Jianbo Shi,Liang Peng,Yinyan Lai,Fenghong Chen,Yihui Wen 대한이비인후과학회 2022 Clinical and Experimental Otorhinolaryngology Vol.15 No.4
Objectives. Despite the efficacy of surgical treatments, the high rate of recurrence in juvenile nasopharyngeal angiofibroma (JNA) after surgery remains an unresolved problem. The present study comprehensively analyzed the risk factors and characteristics of JNA recurrence, providing clinical guidance for reducing recurrence. Methods. A total of 123 patients who underwent surgery for JNA between 1997 and 2019 at a single hospital were analyzed retrospectively. Univariate and multivariate analyses were used to assess the clinical risk factors for the recurrence of JNA. The relapse-free survival and annual cumulative recurrence rates were analyzed for subgroups defined according to clinical parameters. Results. After screening, 78 of the 123 patients were included in the present study. The main risk factors associated with JNA recurrence included the year of diagnosis, tumor size, sphenoid bone invasion, Radkowski stage, surgical approach, and intraoperative bleeding. Importantly, the surgical approach and sphenoid bone invasion were independent prognostic factors affecting recurrence. Patients who underwent endoscopic surgery without sphenoid bone invasion exhibited longer relapse-free survival. In the present study, the overall cumulative recurrence rate of JNA was 38.7%, and recurrence occurred mainly in the first year after the initial surgery. Conclusion. Endoscopic surgery achieved better relapse-free survival in JNA patients, and patients with sphenoid bone invasion should be carefully explored to avoid residual JNA. The recurrence rate of JNA differed among subgroups defined based on clinical parameters and was highest in the first year after surgery. Computed tomography or magnetic resonance imaging, along with close follow-up, should be performed strictly within 1 year after the primary operation.
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Tong Zhijun,Xiu Zhihui,Ming Yao,Fang Dunhuang,Chen Xuejun,Hu Yafei,Zhou Juhong,He Weiming,Jiao Fangchan,Zhang Chi,Zhao Shancen,Jin Han,Jian Jianbo,Xiao Bingguang 한국식물생명공학회 2021 Plant biotechnology reports Vol.15 No.6
Tobacco ( Nicotiana tabacum L.) is an economic crop and a model organism for studies of plant biology and genetics. As an allotetraploid plant generated from interspecific hybridization, tobacco has a massive genome (4.5 Gb). Recently, a genetic map with 45,081 single nucleotide polymorphism (SNP) markers was constructed using whole-genome sequencing data for a tobacco population including 274 individuals. This provides a basis for quantitative trait locus (QTL) mapping and genomic selection, which have been widely applied to other crops but have not been feasible in tobacco. Based on this high-density genetic map, we identified QTLs associated with important agronomic traits, chemical compounds in dry leaves, and hazardous substances in processed cigarettes. The LOD values for major QTLs were highest for agronomic traits, followed by chemical compounds and hazardous substances. In addition to the identification of molecular markers, we evaluated genomic selection models and found that BayesB had the highest prediction accuracy for the recombinant inbred line population. Our results offer new insights into the genetic mechanism underlying important traits, such as agronomic traits and quality-related chemical compounds in tobacco, and will be able to support the application of molecular breeding to tobacco.
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