{"title":"A conjecture of Hartshorne","authors":"Hamet Seydi, TeyLama H. Miabey, Maimouna Soulou","doi":"10.16929/sbs/2018.100-01-02","DOIUrl":"https://doi.org/10.16929/sbs/2018.100-01-02","url":null,"abstract":"","PeriodicalId":321019,"journal":{"name":"A Collection of Papers in Mathematics and Related Sciences, a festschrift in honour of the late Galaye Dia","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124721689","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The Riemann extension of an affine Osserman connection on 3-dimensional manifold","authors":"A. Diallo","doi":"10.16929/SBS/2018.100-03-04","DOIUrl":"https://doi.org/10.16929/SBS/2018.100-03-04","url":null,"abstract":"The Riemannian extension of torsion free affine manifolds (M,∇) is an important method to produce pseudo-Riemannian manifolds. It is know that, if the manifold (M,∇) is a torsion-free affine two-dimensional manifold with skew symmetric tensor Ricci, then (M,∇) is affine Osserman manifold . In higher dimensions the skew symmetric of the tensor Ricci is a necessary but not sufficient condition for a affine connection to be Osserman. In this paper we construct affine Osserman connection with Ricci flat but not flat and example of Osserman pseudo-Riemannian metric of signature (3, 3) is exhibited.","PeriodicalId":321019,"journal":{"name":"A Collection of Papers in Mathematics and Related Sciences, a festschrift in honour of the late Galaye Dia","volume":"371 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122718569","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Numerical Solution of the 2-D Incompressible Non-stationary Navier-Stokes Equations by Adapted Projection Method,","authors":"A. Seck, M. Ndiaye, Alassane Sy, D. Seck","doi":"10.16929/sbs/2018.100-05-02","DOIUrl":"https://doi.org/10.16929/sbs/2018.100-05-02","url":null,"abstract":"Cite the chapter as : Seck A. Ndiaye M., Sy A. and Seck D. (2018). Numerical Solution of the 2-D Incompressible Non-stationary Navier-Stokes Equations by Adapted Projection Method. In A Collection of Papers in Mathematics and Related Sciences, a festschrift in honour of the late Galaye Dia (Editors : Seydi H., Lo G.S. and Diakhaby A.). Spas Editions, Euclid Series Book, (Doi : 10.16929/sbs/2018.100). pp. 487 –521. Doi : 10.16929/sbs/2018.100-05-02.","PeriodicalId":321019,"journal":{"name":"A Collection of Papers in Mathematics and Related Sciences, a festschrift in honour of the late Galaye Dia","volume":"52 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124362303","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Who was Galye Dia (1941-2013)?","authors":"G. Lo, A. Diakhaby","doi":"10.16929/sbs/2018.100-00-02","DOIUrl":"https://doi.org/10.16929/sbs/2018.100-00-02","url":null,"abstract":"","PeriodicalId":321019,"journal":{"name":"A Collection of Papers in Mathematics and Related Sciences, a festschrift in honour of the late Galaye Dia","volume":"204 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131479975","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On the relativity of mathematical equality through the notions of number, function, ensemble and the algorithmic assignment","authors":"A. Maitournam","doi":"10.16929/sbs/2018.100-10-01","DOIUrl":"https://doi.org/10.16929/sbs/2018.100-10-01","url":null,"abstract":"","PeriodicalId":321019,"journal":{"name":"A Collection of Papers in Mathematics and Related Sciences, a festschrift in honour of the late Galaye Dia","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124252840","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Bidimensional Asymptotic Normality of the Moving Kernel Poverty Index Estimate","authors":"Youssou Ciss, A. Diakhaby","doi":"10.16929/sbs/2018.100-02-03","DOIUrl":"https://doi.org/10.16929/sbs/2018.100-02-03","url":null,"abstract":"","PeriodicalId":321019,"journal":{"name":"A Collection of Papers in Mathematics and Related Sciences, a festschrift in honour of the late Galaye Dia","volume":"32 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132411487","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Topological Optimization for Photonic and Phononic crystals problems","authors":"Mouhamadou Baidy Dia, I. Faye, Alassane Sy","doi":"10.16929/SBS/2018.100-05-03","DOIUrl":"https://doi.org/10.16929/SBS/2018.100-05-03","url":null,"abstract":"Abstract. In this paper, we propose a numerical method to study phononic and photonic crystal problems. The proposed method is based on topological optimization tools. In fact, after modeling crystal photonics and phononic problems, we use topological optimization tools to build a numerical method for getting optimal design. Here the optimal design is the one in which all frequencies near the reference frequency corresponding to the reference wave length a can pass.","PeriodicalId":321019,"journal":{"name":"A Collection of Papers in Mathematics and Related Sciences, a festschrift in honour of the late Galaye Dia","volume":"42 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123145919","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Homogenization of semilinear periodic parabolic PDEs with Reflecting boundary condition","authors":"A. Diédhiou, Ibrahima Sané, A. Coulibaly","doi":"10.16929/SBS/2018.100-04-02","DOIUrl":"https://doi.org/10.16929/SBS/2018.100-04-02","url":null,"abstract":"Cite the chapter as : Diedhiou A., Sane I. and Coulibaly A. (2018). Homogenization of semilinear periodic parabolic PDEs with Reflecting boundary condition. In A Collection of Papers in Mathematics and Related Sciences, a festschrift in honour of the late Galaye Dia (Editors : Seydi H., Lo G.S. and Diakhaby A.). Spas Editions, Euclid Series Book, ( Doi : 10.16929/sbs/2018.100. pp. 343 –362. Doi : 10.16929/sbs/2018.100-04-02","PeriodicalId":321019,"journal":{"name":"A Collection of Papers in Mathematics and Related Sciences, a festschrift in honour of the late Galaye Dia","volume":"35 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122171112","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A Note on Encoding and Hashing into Elliptic and Hyperelliptic Curves","authors":"Michel Seck, Nafissatou Diarra, Djiby Sow","doi":"10.16929/sbs/2018.100-06-01","DOIUrl":"https://doi.org/10.16929/sbs/2018.100-06-01","url":null,"abstract":"We give an (up-to-date) overview of existing encoding and hash functions into (hyper)elliptic curves. We also design an indifferentiable hash function into the Jacobian of certain families of hyperelliptic curves of genus g ≤ 5 using the unified formulas of Seck and Diarra (AFRICACRYPT2018).","PeriodicalId":321019,"journal":{"name":"A Collection of Papers in Mathematics and Related Sciences, a festschrift in honour of the late Galaye Dia","volume":"4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121175715","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A Simple Round-up on the Validity of a.s Convergence after Partial Modification of the Probability Law and Application","authors":"G. Lo","doi":"10.16929/SBS/2018.100-04-06","DOIUrl":"https://doi.org/10.16929/SBS/2018.100-04-06","url":null,"abstract":"","PeriodicalId":321019,"journal":{"name":"A Collection of Papers in Mathematics and Related Sciences, a festschrift in honour of the late Galaye Dia","volume":"3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133459622","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}