Japanese journal of mathematics :transactions and abstracts最新文献_第5页

On the limits of indetermination of bounded harmonic functions 有界调和函数的不定极限

Japanese journal of mathematics :transactions and abstracts Pub Date : 1900-01-01 DOI: 10.4099/JJM1924.15.0_19

M. Tsuji

引用次数: 0

Remarks on a Proof of Picard's General Theorem and Allied Theorems 关于皮卡德一般定理及其相关定理证明的注解

Japanese journal of mathematics :transactions and abstracts Pub Date : 1900-01-01 DOI: 10.4099/JJM1924.6.0_315

T. Shimizu

引用次数: 2

On a Generalized Scale of Notations 关于符号的广义标度

Japanese journal of mathematics :transactions and abstracts Pub Date : 1900-01-01 DOI: 10.4099/JJM1924.1.0_95

S. Kakeya

引用次数: 9

Specialization of the Theory of a Space of Higher Order I 高阶空间理论的专门化1

Japanese journal of mathematics :transactions and abstracts Pub Date : 1900-01-01 DOI: 10.4099/JJM1924.21.0_237

Y. Katsurada

{"title":"Specialization of the Theory of a Space of Higher Order I","authors":"Y. Katsurada","doi":"10.4099/JJM1924.21.0_237","DOIUrl":"https://doi.org/10.4099/JJM1924.21.0_237","url":null,"abstract":"Introduction. In order to find the geometrical meanings of results in the theory obtained in use of the extensor analysis, one should make clear the relation between the geome tries in the space of higher order and in the original point space. By this reason, it seems to be desirable that the geometrical theory stated in words of the extensor analysis in the space of higher order is an extension of that of tensor analysis in the original point space and the part corresponding to tensor member of the former just coincides with the latter, so as an extensor introduced by H. V. Craig [1] 1) is an ex tension of a tensor and the components of the extensor include the tensor member as a part. As the first step, in the previous paper [2], the present author obtained already the extended connection parameters in the above-mentioned sense, in the case that either the original point space is a space with a symmetric affine connec tion or a Riemannian space. It is the purpose of the present paper to establish the theory of non-holonomic systems and subspaces in the space of higher order based upon a point space with a non-holonomic system ƒÉi'i, at the same standpoint. In the present paper, the ideas, notations and results given in the previous papers ([2] [5]) will be used without explanation. The present author wishes to ex press to Prof. A. Kawaguchi her appreciation for his helpful guidance.","PeriodicalId":374819,"journal":{"name":"Japanese journal of mathematics :transactions and abstracts","volume":"93 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126222970","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}

引用次数: 0

On the real representation of imaginary elements 论虚元的实表示

Japanese journal of mathematics :transactions and abstracts Pub Date : 1900-01-01 DOI: 10.4099/jjm1924.18.0_323

M. Matsuda

引用次数: 0

Theorems concerning Poisson Integrals 关于泊松积分的定理

Japanese journal of mathematics :transactions and abstracts Pub Date : 1900-01-01 DOI: 10.4099/JJM1924.7.0_227

M. Tsuji

引用次数: 0

Zur relativen Differentialgeometrie, III 相对微分几何三

Japanese journal of mathematics :transactions and abstracts Pub Date : 1900-01-01 DOI: 10.4099/JJM1924.4.0_203

W. Süss

引用次数: 4

On Kronecker's Limit in Fourier Series 傅里叶级数中的Kronecker极限

Japanese journal of mathematics :transactions and abstracts Pub Date : 1900-01-01 DOI: 10.4099/JJM1924.6.0_189

Kien-Kwong Chen

引用次数: 0

On Tonelli's theorems on a sequence of rectifiable curves 关于可整流曲线序列的托内利定理

Japanese journal of mathematics :transactions and abstracts Pub Date : 1900-01-01 DOI: 10.4099/JJM1924.17.0_401

M. Tsuji

引用次数: 1

On the Spaces with normal conformal Connexions whose Groups of Holonomy fix a Point or a Hypersphere. III 关于具有正规共形连接的空间，其完整群固定一个点或一个超球。3

Japanese journal of mathematics :transactions and abstracts Pub Date : 1900-01-01 DOI: 10.4099/JJM1924.18.0_615

S. Sasaki

{"title":"On the Spaces with normal conformal Connexions whose Groups of Holonomy fix a Point or a Hypersphere. III","authors":"S. Sasaki","doi":"10.4099/JJM1924.18.0_615","DOIUrl":"https://doi.org/10.4099/JJM1924.18.0_615","url":null,"abstract":"In my previous paper [1] I have proved that \"if the group of holonomy Hn of a space with a normal conformal connexion Cn fixes a point or a hypersphere in the annexed Mobius space, Cn is a conformal space cor responding to a set of Riemann spaces conformal to each other and containing in them at least an Einstein space with vanishing or non vanishing scalar curvature according as Hn fixes a point or a hypersphere. The converse is also true.\" Now, in 1924 H. W. Brinkmann studied Riemann spaces conformal to one or more Einstein spaces. On account of our theorem, it is evident that his researches and ours are in a close relation to each other. Brink mann's researches are purely analytical and there are no geometrical considerations in them. On the contrary, in the paper cited above I have remarked that some of his theorems are deducible from our fundamental theorem by elementary-geometrical reasonings without any calculation. Brinkmann [2] studied further Einstein spaces conformal to another Einstein space and determined canonical forms of their line-elements. From our standpoint of view, his results can be obtained also by study ing Cn whose group Hn fixes two or more hyperspheres (including point hyperspheres). Owing to these circumstances, restricting the spaces as positive definite, I will study the structure of C,z whose group Hn fixes two hyperspheres (Including point hyperspheres) by purely geometrical methods and deduce Brinkmann's results. I think we can recognise the structure of the spaces intuitively only by such geometrical considera tions and it is possible to make further considerations. Besides new methods of studying the structure of Einstein spaces conformal to another Einstein space, the reader will find some new theorems in the following lines.","PeriodicalId":374819,"journal":{"name":"Japanese journal of mathematics :transactions and abstracts","volume":"68 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131829672","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}

引用次数: 15