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A classification of left-invariant Lorentzian metrics on some nilpotent Lie groups 一些幂零李群上左不变洛伦兹度量的分类
IF 0.5 4区 数学
Tohoku Mathematical Journal Pub Date : 2020-11-18 DOI: 10.2748/tmj.20211122
Yuji Kondo, H. Tamaru
{"title":"A classification of left-invariant Lorentzian metrics on some nilpotent Lie groups","authors":"Yuji Kondo, H. Tamaru","doi":"10.2748/tmj.20211122","DOIUrl":"https://doi.org/10.2748/tmj.20211122","url":null,"abstract":"It has been known that there exist exactly three left-invariant Lorentzian metrics up to scaling and automorphisms on the three dimensional Heisenberg group. In this paper, we classify left-invariant Lorentzian metrics on the direct product of three dimensional Heisenberg group and the Euclidean space of dimension $n-3$ with $n geq 4$, and prove that there exist exactly six such metrics on this Lie group up to scaling and automorphisms. Moreover we show that only one of them is flat, and the other five metrics are Ricci solitons but not Einstein. We also characterize this flat metric as the unique closed orbit, where the equivalence class of each left-invariant metric can be identified with an orbit of a certain group action on some symmetric space.","PeriodicalId":54427,"journal":{"name":"Tohoku Mathematical Journal","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2020-11-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44354754","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: 7
Generating functions for sums of polynomial multiple zeta values 生成多项式和多个zeta值的函数
IF 0.5 4区 数学
Tohoku Mathematical Journal Pub Date : 2020-11-09 DOI: 10.2748/tmj.20210409
M. Hirose, H. Murahara, Shingo Saito
{"title":"Generating functions for sums of polynomial multiple zeta values","authors":"M. Hirose, H. Murahara, Shingo Saito","doi":"10.2748/tmj.20210409","DOIUrl":"https://doi.org/10.2748/tmj.20210409","url":null,"abstract":"The sum formulas for multiple zeta(-star) values and symmetric multiple zeta(-star) values bear a striking resemblance. We explain the resemblance in a rather straightforward manner using an identity that involves the Schur multiple zeta values. We also obtain the sum formula for polynomial multiple zeta(-star) values in terms of generating functions, simultaneously generalizing the sum formulas for multiple zeta(-star) values and symmetric multiple zeta(-star) values.","PeriodicalId":54427,"journal":{"name":"Tohoku Mathematical Journal","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2020-11-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44102261","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: 2
Transfers on Milnor-Witt K-theory Milnor-Witt k -理论的转移
IF 0.5 4区 数学
Tohoku Mathematical Journal Pub Date : 2020-11-02 DOI: 10.2748/tmj.20211005
Niels Feld
{"title":"Transfers on Milnor-Witt K-theory","authors":"Niels Feld","doi":"10.2748/tmj.20211005","DOIUrl":"https://doi.org/10.2748/tmj.20211005","url":null,"abstract":"We give a new proof of the fact that Milnor-Witt K-theory has geometric transfers. The proof yields to a simplification of Morel's conjecture about transfers on contracted homotopy sheaves.","PeriodicalId":54427,"journal":{"name":"Tohoku Mathematical Journal","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2020-11-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48256048","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: 2
Erratum: Stability of stationary solution for the Lugiato-Lefever equation 勘误表：Lugiato-Lehfever方程稳定解的稳定性
IF 0.5 4区 数学
Tohoku Mathematical Journal Pub Date : 2020-09-01 DOI: 10.2748/tmj/1601085626
T. Miyaji, I. Ohnishi, Y. Tsutsumi
{"title":"Erratum: Stability of stationary solution for the Lugiato-Lefever equation","authors":"T. Miyaji, I. Ohnishi, Y. Tsutsumi","doi":"10.2748/tmj/1601085626","DOIUrl":"https://doi.org/10.2748/tmj/1601085626","url":null,"abstract":"","PeriodicalId":54427,"journal":{"name":"Tohoku Mathematical Journal","volume":"72 1","pages":"487-492"},"PeriodicalIF":0.5,"publicationDate":"2020-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41701080","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
Boundedness of maximal operators on Herz spaces with radial variable exponent 径向变指数Herz空间上极大算子的有界性
IF 0.5 4区 数学
Tohoku Mathematical Journal Pub Date : 2020-09-01 DOI: 10.2748/tmj/1601085619
Y. Mizuta, T. Shimomura
{"title":"Boundedness of maximal operators on Herz spaces with radial variable exponent","authors":"Y. Mizuta, T. Shimomura","doi":"10.2748/tmj/1601085619","DOIUrl":"https://doi.org/10.2748/tmj/1601085619","url":null,"abstract":"","PeriodicalId":54427,"journal":{"name":"Tohoku Mathematical Journal","volume":"72 1","pages":"335-348"},"PeriodicalIF":0.5,"publicationDate":"2020-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43853402","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: 2
Functional equations of zeta functions associated with homogeneous cones 齐次锥的ζ函数的函数方程
IF 0.5 4区 数学
Tohoku Mathematical Journal Pub Date : 2020-09-01 DOI: 10.2748/tmj/1601085620
Hideto Nakashima
{"title":"Functional equations of zeta functions associated with homogeneous cones","authors":"Hideto Nakashima","doi":"10.2748/tmj/1601085620","DOIUrl":"https://doi.org/10.2748/tmj/1601085620","url":null,"abstract":"","PeriodicalId":54427,"journal":{"name":"Tohoku Mathematical Journal","volume":"72 1","pages":"349-378"},"PeriodicalIF":0.5,"publicationDate":"2020-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41909543","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: 5
Minimal mass blow-up solutions for nonlinear Schrödinger equations with a potential 具有势的非线性Schrödinger方程的最小质量爆破解
IF 0.5 4区 数学
Tohoku Mathematical Journal Pub Date : 2020-07-31 DOI: 10.2748/tmj.20211216
Naoki Matsui
{"title":"Minimal mass blow-up solutions for nonlinear Schrödinger equations with a potential","authors":"Naoki Matsui","doi":"10.2748/tmj.20211216","DOIUrl":"https://doi.org/10.2748/tmj.20211216","url":null,"abstract":"We consider the following nonlinear Schr\"{o}dinger equation with a potential in $mathbb{R}^N$. We studied the existence of an initial value with critical mass for which the corresponding solution blows up. A previous study demonstrated the existence of an initial value for which the corresponding solution blows up when $N=1$ or $2$. In this work, without any restrictions on the number of dimensions $N$, we construct a critical-mass initial value for which the corresponding solution blows up in finite time and derive its blow-up rate.","PeriodicalId":54427,"journal":{"name":"Tohoku Mathematical Journal","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2020-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46591976","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: 8
On a construction of harmonic function for recurrent relativistic $alpha$-stable processes 关于循环相对论稳定过程调和函数的构造
IF 0.5 4区 数学
Tohoku Mathematical Journal Pub Date : 2020-06-01 DOI: 10.2748/tmj/1593136823
K. Tsuchida
{"title":"On a construction of harmonic function for recurrent relativistic $alpha$-stable processes","authors":"K. Tsuchida","doi":"10.2748/tmj/1593136823","DOIUrl":"https://doi.org/10.2748/tmj/1593136823","url":null,"abstract":"","PeriodicalId":54427,"journal":{"name":"Tohoku Mathematical Journal","volume":"72 1","pages":"299-315"},"PeriodicalIF":0.5,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42992239","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
Invariant Einstein metrics on $mathrm{SU}(n)$ and complex Stiefel manifolds $ mathm {SU}(n)$和复Stiefel流形上的不变爱因斯坦度量
IF 0.5 4区 数学
Tohoku Mathematical Journal Pub Date : 2020-06-01 DOI: 10.2748/tmj/1593136818
A. Arvanitoyeorgos, Y. Sakane, Marina Statha
{"title":"Invariant Einstein metrics on $mathrm{SU}(n)$ and complex Stiefel manifolds","authors":"A. Arvanitoyeorgos, Y. Sakane, Marina Statha","doi":"10.2748/tmj/1593136818","DOIUrl":"https://doi.org/10.2748/tmj/1593136818","url":null,"abstract":"","PeriodicalId":54427,"journal":{"name":"Tohoku Mathematical Journal","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43730007","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
Molecular characterization of anisotropic variable Hardy-Lorentz spaces 各向异性变Hardy-Lorentz空间的分子表征
IF 0.5 4区 数学
Tohoku Mathematical Journal Pub Date : 2020-06-01 DOI: 10.2748/tmj/1593136819
Xiong Liu, Xiaoli Qiu, Baode Li
{"title":"Molecular characterization of anisotropic variable Hardy-Lorentz spaces","authors":"Xiong Liu, Xiaoli Qiu, Baode Li","doi":"10.2748/tmj/1593136819","DOIUrl":"https://doi.org/10.2748/tmj/1593136819","url":null,"abstract":"","PeriodicalId":54427,"journal":{"name":"Tohoku Mathematical Journal","volume":"72 1","pages":"211-233"},"PeriodicalIF":0.5,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47560564","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: 3
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