Kodai Mathematical Journal最新文献

{"title":"Liouville Theorem for harmonic maps from Riemannian manifold with compact boundary","authors":"Jun Sun, Xiaobao Zhu","doi":"10.2996/kmj46204","DOIUrl":"https://doi.org/10.2996/kmj46204","url":null,"abstract":"In this note we will provide a gradient estimate for harmonic maps from a complete noncompact Riemannian manifold with compact boundary (which we call\"Kasue manifold\") into a simply connected complete Riemannian manifold with non-positive sectional curvature. As a consequence, we can obtain a Liouville theorem. We will also show the nonexistence of positive solutions to some linear elliptic equation on Kasue manifold.","PeriodicalId":54747,"journal":{"name":"Kodai Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2023-04-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45583891","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"On Einstein hypersurfaces of a class of regular Sasakian manifolds","authors":"D. Di Pinto, A. Lotta","doi":"10.2996/kmj46101","DOIUrl":"https://doi.org/10.2996/kmj46101","url":null,"abstract":"","PeriodicalId":54747,"journal":{"name":"Kodai Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2023-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44965754","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Logarithmic Harnack inequalities and gradient estimates for nonlinear $p$-Laplace equations on weighted Riemannian manifolds","authors":"Yu-Zhao Wang, Wenlu Wang","doi":"10.2996/kmj46103","DOIUrl":"https://doi.org/10.2996/kmj46103","url":null,"abstract":"","PeriodicalId":54747,"journal":{"name":"Kodai Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2023-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44775304","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"On the rigidity of mean curvature flow solitons in certain semi-Riemannian warped products","authors":"Jogli G. Araújo, H. D. de Lima, Wallace F. Gomes","doi":"10.2996/kmj46105","DOIUrl":"https://doi.org/10.2996/kmj46105","url":null,"abstract":"","PeriodicalId":54747,"journal":{"name":"Kodai Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2023-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49325407","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Group-theoreticity of numerical invariants and distinguished subgroups of configuration space groups","authors":"Yuichiro Hoshi, Arata Minamide, S. Mochizuki","doi":"10.2996/kmj45301","DOIUrl":"https://doi.org/10.2996/kmj45301","url":null,"abstract":"Let Σ be a set of prime numbers which is either of cardinality one or equal to the set of all prime numbers. In this paper, we prove that various objects that arise from the geometry of the configuration space of a hyperbolic curve over an algebraically closed field of characteristic zero may be reconstructed group-theoretically from the pro-Σ fundamental group of the configuration space. Let X be a hyperbolic curve of type (g, r) over a field k of characteristic zero. Thus, X is obtained by removing from a proper smooth curve of genus g over k a closed subscheme [i.e., the “divisor of cusps”] of X whose structure morphism to Spec(k) is finite étale of degree r; 2g−2+r > 0. Write Xn for the n-th configuration space associated to X, i.e., the complement of the various diagonal divisors in the fiber product over k of n copies of X. Then, when k is algebraically closed, we show that the triple (n, g, r) and the generalized fiber subgroups — i.e., the subgroups that arise from the various natural morphisms Xn → Xm [m < n], which we refer to as generalized projection morphisms — of the pro-Σ fundamental group Πn of Xn may be reconstructed group-theoretically from Πn whenever n ≥ 2. This result generalizes results obtained previously by the first and third authors and A. Tamagawa to the case of arbitrary hyperbolic curves [i.e., without restrictions on (g, r)]. As an application, in the case where (g, r) = (0, 3) and n ≥ 2, we conclude that there exists a direct product decomposition Out(Πn) = GT Σ ×Sn+3 — where we write “Out(−)” for the group of outer automorphisms [i.e., without any auxiliary restrictions!] of the profinite group in parentheses and GT (respectively, Sn+3) for the pro-Σ Grothendieck-Teichmüller group (respectively, symmetric group on n+3 letters). This direct product decomposition may be applied to obtain a simplified purely grouptheoretic equivalent definition — i.e., as the centralizer in Out(Πn) of the union of the centers of the open subgroups of Out(Πn) — of GT . One of the key notions underlying the theory of the present paper is the notion of a pro-Σ log-full subgroup — which may be regarded as a sort of higher-dimensional analogue of the notion of a pro-Σ cuspidal inertia subgroup of a surface group — of Πn. In the final section of the present paper, we show that, when X and k satisfy certain conditions concerning “weights”, the pro-l log-full subgroups may be reconstructed group-theoretically from the natural outer action of the absolute Galois group of k on the geometric pro-l fundamental group of Xn. 2010 Mathematics Subject Classification. Primary 14H30; Secondary 14H10.","PeriodicalId":54747,"journal":{"name":"Kodai Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2022-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42077983","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Nonbirational centers of linear projections of scrolls over curves","authors":"A. Noma","doi":"10.2996/kmj45306","DOIUrl":"https://doi.org/10.2996/kmj45306","url":null,"abstract":"","PeriodicalId":54747,"journal":{"name":"Kodai Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2022-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45512170","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Some transcendental entire functions with irrationally indifferent fixed points","authors":"M. Kisaka, Hiroto Naba","doi":"10.2996/kmj45304","DOIUrl":"https://doi.org/10.2996/kmj45304","url":null,"abstract":"","PeriodicalId":54747,"journal":{"name":"Kodai Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2022-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45764979","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"On the Thurston boundary and the relatively hyperbolic boundary of Teichmüller space","authors":"Yaozhong Shi","doi":"10.2996/kmj45303","DOIUrl":"https://doi.org/10.2996/kmj45303","url":null,"abstract":"","PeriodicalId":54747,"journal":{"name":"Kodai Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2022-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49433381","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Double Dirichlet series associated with arithmetic functions II","authors":"Kohji Matsumoto, Hirofumi Tsumura","doi":"10.2996/kmj46102","DOIUrl":"https://doi.org/10.2996/kmj46102","url":null,"abstract":"This paper is a continuation of our previous work on double Dirichlet series associated with arithmetic functions such as the von Mangoldt function, the M\"obius function, and so on. We consider the analytic behaviour around the non-positive integer points on singularity sets which are points of indeterminacy. In particular, we show a certain reciprocity law of their residues. Also on this occasion we correct some inaccuracies in our previous paper.","PeriodicalId":54747,"journal":{"name":"Kodai Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2022-08-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42148734","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"A Bernstein type theorem for entire graphic 2-dimensional $Lambda$-submanifolds in $mathbf{R}^{4}$","authors":"Huijuan Wang, Entao Zhao","doi":"10.2996/kmj45202","DOIUrl":"https://doi.org/10.2996/kmj45202","url":null,"abstract":"","PeriodicalId":54747,"journal":{"name":"Kodai Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2022-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45339846","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}