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삼차계량을 가진 핀슬러공간이 더글러스공간이 될 조건에 대한 연구
전동검 순천향대학교 기초과학연구소 2000 순천향자연과학연구 논문집 Vol.6 No.2
(α,β)-계량을 가지고 있는 핀승러공간이 더글러스공간이 될 필요충분조건은 Bij=Biyi-Bjyi가 삼차인 (yi)의 동차다항식인 것이다. 위의 내용을 근거로, (α, β)-계량을 가지고 있는 핀슬러공간이 더글러스형태가 될 조건에 관심을 가지고 연구를 한다.
Ideals In Some Algebra On Riemann Surfaces
전동검 순천향대학교 1983 논문집 Vol.6 No.2
We offer an elementary theorem on ideals in some algebra A(W), which by way of a corollary, one, identifies the maximal ideals of A(W), and, two, provides a proof, that every proper ideal in A(W) is contained in a maximal ideal. 1. Let A be a ring of functions in bordered Riemann Surface W which is compact, each of which is continuous in W and holomorphic in W. (This A<A(W).) Suppose that (a) A is dense in the algebra A(W), i.e if f∈A(W) and ℨ>0, then there is a g in A with ∣f-g∣<ℨ in W. Then we have the following.
L=α+β+α^2/β을 가진 핀슬러공간이 더글러스공간이 될 조건에 대한 연구
전동검 순천향대학교 기초과학연구소 2001 순천향자연과학연구 논문집 Vol.7 No.2
(α,β)-계량 L=α+β+α^2 /β을 가지고 있는 핀승러공간이 더글러스공간이 될 필요충분조건은 B^ij=B^i_y^i가 삼차인 (y^i)의 동차다항식인 것이다. 위의 내용을 근거로 L=α+β+α^2/β을 가지고 있는 핀슬러공간이 더글러스형태가 될 조건에 관심을 가지고 연구를 한다.
강병식,전동검 순천향대학교 1986 논문집 Vol.9 No.2
In the box topology ΠYα, if each coordinate function fα : X→Yαis continuous and each χ∈X has a nbd on which all but a finite number of fα's are constant then f is continuous. If {Yn} is a countably family of σ-compact metric spaces then ΠYn is paracompact. If the path-component of Yαis Cα, then the path-component of ΠYαcontaining x is ΠCaα, where {χ} is an equivalence class defined in III3.
김인한,전동검 순천향대학교 기초과학연구소 1999 순천향자연과학연구 논문집 Vol.5 No.1
Many of the facts derived about the Educlidean plane are already familiar to those who have studied geometry from another approach. However, the same format can be used to investigate the hyperbolic planes. The results are beautiful and, in some cases, surprising. The purpose of this paper is going to apply some theorems of absolute geometry to hyperbolic plane. firstly, I obtain and prove the cosine and sine law of hyperbolic trigonometry. secondly, Isometries (distance preserve transformations) are classified, and the structure of the isometry group is determined.
Topological Groups에 있어서 Profinite Groups의 설정에 관한 연구
전동검,강병식 순천향대학교 1985 논문집 Vol.8 No.3
If G is an inverse limit of the system of finite discrete group Gα, we call G a profinite group, which is equivalent to a compact and totally disconnected topological group. We can construct a profinite group which is a quotient group G/Go where G is the connected component of compact G at the identity e, and also we give a construction of profinite groups from opem normal sudgroups of G containing Go.
Boundedness와 Equicontinuity 사이의 관계에 관한 연구
전동검,노정학 순천향대학교 1985 논문집 Vol.8 No.2
Let X and Y be locally convex separated spaces and let ?? be a family of continuous linear maps from X to Y. In this paper, we show that if X is barrelled and Y is locally bounded, then the following are equivalent: (a) The family ?? is uniformly bounded on some neighborhood of O in X. (b) The family ?? is equicontinuous. (c) The family ?? is uniformly bounded on all bounded sets. (d) The family ?? is pointwise bounded.
전동검,정완수 순천향대학교 기초과학연구소 1995 순천향자연과학연구 논문집 Vol.1 No.1
In this note we first recall the basic definition of non-degeneracy, next introduce the concepts and properties of non-degenerate critcal point an relation of structures on finite-dimensional manifold. In particular, we proved the following theorem that if M is a ι-dimensional manifold. critcal point ?? of f, index λ of mapping f : M→R, then tere exists imbedding : ??
전동검,박지현 순천향대학교 1985 논문집 Vol.8 No.1
In this paper, we introduce the new concepts of ??-curves in Eⁿ, i=1, 2, …, n, in the first. An N₂-Curve in Eⁿis a kind of generalization of classical Bertrand curve in E³. The main purpose of the present paper is to investigate and obtain some new properties of N₂-curves in Eⁿ.
On the study of Landsberg Spaces of Dimension two with (α,β)-Metric.
Jun,Dong-Kum 순천향대학교 기초과학연구소 1997 순천향자연과학연구 논문집 Vol.3 No.2
The purpose of our paper is to find the condition for the nonlinear Landsberg space to be the linear Berwald space. The difference vectors and the main scalars play the leading role in the present paper. The main result is reduction theorem.