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Characterisations of $V$-sufficiency and $C^0$-sufficiency of relative jets 相对射流的 $V$-sufficiency 和 $C^0$-sufficiency 特性
IF 0.5 4区 数学
Hokkaido Mathematical Journal Pub Date : 2024-02-01 DOI: 10.14492/hokmj/2022-606
K. Bekka, Satoshi Koike
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引用次数: 0
A Bochner like theorem about infinitesimal contact automorphisms 关于无穷小接触自形的类似波赫纳的定理
IF 0.5 4区 数学
Hokkaido Mathematical Journal Pub Date : 2024-02-01 DOI: 10.14492/hokmj/2022-623
A. Lotta
{"title":"A Bochner like theorem about infinitesimal contact automorphisms","authors":"A. Lotta","doi":"10.14492/hokmj/2022-623","DOIUrl":"https://doi.org/10.14492/hokmj/2022-623","url":null,"abstract":"","PeriodicalId":55051,"journal":{"name":"Hokkaido Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2024-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139815259","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}
引用次数: 0
Generalized Bishop frames of regular curves in $mathbb{E}^{4}$ $mathbb{E}^{4}$中规则曲线的广义毕肖普框架
IF 0.5 4区 数学
Hokkaido Mathematical Journal Pub Date : 2024-02-01 DOI: 10.14492/hokmj/2022-611
Subaru Nomoto, Hiraku Nozawa
{"title":"Generalized Bishop frames of regular curves in $mathbb{E}^{4}$","authors":"Subaru Nomoto, Hiraku Nozawa","doi":"10.14492/hokmj/2022-611","DOIUrl":"https://doi.org/10.14492/hokmj/2022-611","url":null,"abstract":"","PeriodicalId":55051,"journal":{"name":"Hokkaido Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2024-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139878274","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}
引用次数: 0
Characterisations of $V$-sufficiency and $C^0$-sufficiency of relative jets 相对射流的 $V$-sufficiency 和 $C^0$-sufficiency 特性
IF 0.5 4区 数学
Hokkaido Mathematical Journal Pub Date : 2024-02-01 DOI: 10.14492/hokmj/2022-606
K. Bekka, Satoshi Koike
{"title":"Characterisations of $V$-sufficiency and $C^0$-sufficiency of relative jets","authors":"K. Bekka, Satoshi Koike","doi":"10.14492/hokmj/2022-606","DOIUrl":"https://doi.org/10.14492/hokmj/2022-606","url":null,"abstract":"","PeriodicalId":55051,"journal":{"name":"Hokkaido Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2024-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139875021","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}
引用次数: 0
Maximum and minimum of support functions 支持功能的最大值和最小值
4区 数学
Hokkaido Mathematical Journal Pub Date : 2023-10-01 DOI: 10.14492/hokmj/2021-557
Huhe HAN
{"title":"Maximum and minimum of support functions","authors":"Huhe HAN","doi":"10.14492/hokmj/2021-557","DOIUrl":"https://doi.org/10.14492/hokmj/2021-557","url":null,"abstract":"For given continuous functions $gamma_{{}_{i}}: S^{n}to mathbb{R}_{+}$ ($i=1, 2$), the functions $gamma_{{}_{max}}$ and $gamma_{{}_{min}}$ can be defined naturally. In this paper, by applying the spherical method, we first show that the Wulff shape associated to $gamma_{{}_{max}}$ is the convex hull of the union of Wulff shapes associated to $gamma_{{}_1}$ and $gamma_{{}_2}$, if $gamma_{{}_1}$ and $gamma_{{}_2}$ are convex integrands. Next, we show that the Wulff shape associated to $gamma_{{}_{min}}$ is the intersection of Wulff shapes associated to $gamma_{{}_1}$ and $gamma_{{}_2}$. Moreover, relationships between their dual Wulff shapes are given.","PeriodicalId":55051,"journal":{"name":"Hokkaido Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136204782","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}
引用次数: 0
Improvements of $A$-numerical radius bounds $A$数值半径界的改进
4区 数学
Hokkaido Mathematical Journal Pub Date : 2023-10-01 DOI: 10.14492/hokmj/2022-603
Raj Kumar NAYAK, Pintu BHUNIA, Kallol PAUL
{"title":"Improvements of $A$-numerical radius bounds","authors":"Raj Kumar NAYAK, Pintu BHUNIA, Kallol PAUL","doi":"10.14492/hokmj/2022-603","DOIUrl":"https://doi.org/10.14492/hokmj/2022-603","url":null,"abstract":"We obtain upper and lower bounds for the $A$-numerical radius inequalities of operators and operator matrices which generalize and improve on the existing ones. We present new upper bounds for the $A$-numerical radius of the product of two operators. We also develop various inequalities for the $A$-numerical radius of $2 times 2 $ operator matrices.","PeriodicalId":55051,"journal":{"name":"Hokkaido Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136204784","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}
引用次数: 0
Upper bounds of local electronic densities in molecules 分子中局部电子密度的上界
4区 数学
Hokkaido Mathematical Journal Pub Date : 2023-10-01 DOI: 10.14492/hokmj/2021-577
Sohei ASHIDA
{"title":"Upper bounds of local electronic densities in molecules","authors":"Sohei ASHIDA","doi":"10.14492/hokmj/2021-577","DOIUrl":"https://doi.org/10.14492/hokmj/2021-577","url":null,"abstract":"The eigenfunctions of electronic Hamiltonians determine the stable structures and dynamics of molecules through the local distributions of their densities. In this paper an a priori upper bound for such local distributions of the densities is given. The bound means that concentration of electrons is prohibited due to the repulsion between the electrons. A relation between one-electron and two-electron densities resulting from the antisymmetry of the eigenfunctions plays a crucial role in the proof.","PeriodicalId":55051,"journal":{"name":"Hokkaido Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136204466","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}
引用次数: 0
The artin braid group actions on the set of spin structures on a surface 编织基团作用于表面上的自旋结构集
4区 数学
Hokkaido Mathematical Journal Pub Date : 2023-10-01 DOI: 10.14492/hokmj/2021-570
Gefei WANG
{"title":"The artin braid group actions on the set of spin structures on a surface","authors":"Gefei WANG","doi":"10.14492/hokmj/2021-570","DOIUrl":"https://doi.org/10.14492/hokmj/2021-570","url":null,"abstract":"","PeriodicalId":55051,"journal":{"name":"Hokkaido Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136204785","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}
引用次数: 0
An analogy of Jacobi's formula and its applications 雅可比公式的类比及其应用
4区 数学
Hokkaido Mathematical Journal Pub Date : 2023-10-01 DOI: 10.14492/hokmj/2021-572
Jun CHIBA, Keiji MATSUMOTO
{"title":"An analogy of Jacobi's formula and its applications","authors":"Jun CHIBA, Keiji MATSUMOTO","doi":"10.14492/hokmj/2021-572","DOIUrl":"https://doi.org/10.14492/hokmj/2021-572","url":null,"abstract":"We give an analogy of Jacobi's formula, which relates the hypergeometric function with parameters $(1/4,1/4,1)$ and theta constants. By using this analogy and twice formulas of theta constants, we obtain a transformation formula for this hypergeometric function. As its application, we express the limit of a pair of sequences defined by a mean iteration by this hypergeometric function.","PeriodicalId":55051,"journal":{"name":"Hokkaido Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136204780","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}
引用次数: 1
Harmonic maps and biharmonic maps for double fibrations of compact Lie groups 紧李群双颤振的调和映射和双调和映射
4区 数学
Hokkaido Mathematical Journal Pub Date : 2023-10-01 DOI: 10.14492/hokmj/2021-558
Hajime URAKAWA
{"title":"Harmonic maps and biharmonic maps for double fibrations of compact Lie groups","authors":"Hajime URAKAWA","doi":"10.14492/hokmj/2021-558","DOIUrl":"https://doi.org/10.14492/hokmj/2021-558","url":null,"abstract":"This work is motivated by the works of W.Y. Hsiang and H.B. Lawson [7], Pages $12$ and $13$. In this paper, we deal with the following double fibration: [ xymatrix@R-0.5cm @C-0.5cm{ & (G,g) ar[ld]_{pi_1} ar[rd]^{pi_2} & (G/H,h_1) && (Kbackslash G,h_2) } ] We will show that every $K$-invariant minimal or biharmonic hypersurface $M$ in $(G/H,h_1)$ induces an $H$-invariant minimal or biharmonic hypersurface $widetilde{M}$ in $(Kbackslash G,h_2)$ by means of $widetilde{M}:=pi_2(pi_1{}^{-1}(M))$ (cf. Theorems 3.2 and 4.1). We give a one to one correspondence between the class of all the $K$-invariant minimal or biharmonic hypersurfaces in $G/H$ and the one of all the $H$-invariant minimal or biharmonic hypersurfaces in $Kbackslash G$ (cf. Theorem 4.2).","PeriodicalId":55051,"journal":{"name":"Hokkaido Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136204783","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}
引用次数: 0
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