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Korean Journal of Mathematics
Journal Basic Information
pISSN :
1976-8605
eISSN :
2288-1433
Journal DOI :
10.11568/kjm
Frequency :
Others
Publisher:
The Kangwon-Kyungki Mathematical Society
Editor in Chief :
Volume & Issues
Volume 6, Issue 2 - Sep 1998
Volume 6, Issue 1 - Feb 1998
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1
A STUDY ON NILPOTENT LIE GROUPS
Nam, Jeong-Koo ;
Korean Journal of Mathematics, volume 6, issue 2, 1998, Pages 137~148
Abstract
We briefly discuss the Lie groups, it's nilpotency and representations of a nilpotent Lie groups. Dixmier and Kirillov proved that simply connected nilpotent Lie groups over
are monomial. We reformulate the above result at the Lie algebra level.
2
ON THE LEFT REGULAR po-Γ-SEMIGROUPS
Kwon, Young In ; Lee, Sang Keun ;
Korean Journal of Mathematics, volume 6, issue 2, 1998, Pages 149~154
Abstract
We consider the ordered
-semigroups in which
are left elements. We show that this
-semigroup is left regular if and only if M is a union of left simple sub-
-semigroups of M.
3
ON FUZZY T
_{2}
-AXIOMS AND FUZZY COMPACTNESS
Cho, Sung Ki ; Chung, Dong Gweon ;
Korean Journal of Mathematics, volume 6, issue 2, 1998, Pages 155~164
Abstract
In this paper, the fuzzy
-axioms due to Hutton and Reilly, Ganguly and Saha and Sinha are characterized by using the notion of fuzzy closure. As consequences, we study the relation between the fuzzy
-axioms and give some examples which show that the axiom of fuzzy compactness, due to Ganguly and Saha, is not compatible with the fuzzy
-axioms.
4
REMARKS ON THE REIDEMEISTER NUMBER OF A G-MAP
Cho, Sung Ki ; Kweon, Dae Seop ;
Korean Journal of Mathematics, volume 6, issue 2, 1998, Pages 165~172
Abstract
For a G-map
, we define and characterize the Reidemeister number
of
. Also, we prove that
is a G-homotopy invariance and we obtain a lower bound of
.
5
THE GLOBAL BEHAVIORS OF A HOPF BIFURCATION IN A FREE BOUNDARY PROBLEM WITH ZERO FLUX BOUNDARY CONDITION
Ham, YoonMee ;
Korean Journal of Mathematics, volume 6, issue 2, 1998, Pages 173~181
Abstract
The local behaviors of the Hopf bifurcation in the free boundary problem satisfying the zero flux boundary condition was examined in [3]. In this paper, we shall examine the global behaviors for this problem and shall apply the center-index theory to show the globality.
6
AN APPLICATION OF FRACTIONAL DERIVATIVE OPERATOR TO A NEW CLASS OF ANALYTIC AND MULTIVALENT FUNCTIONS
Lee, S.K. ; Joshi, S.B. ;
Korean Journal of Mathematics, volume 6, issue 2, 1998, Pages 183~194
Abstract
Making use of a certain operator of fractional derivative, a new subclass
) of analytic and p-valent functions is introduced in the present paper. Apart from various coefficient bounds, many interesting and useful properties of this class of functions are given, some of these properties involve, for example, linear combinations and modified Hadamard product of several functions belonging to the class introduced here.
7
THE EFFECT OF QUADRATURE ERRORS IN PRACTICE
Kim, Chang-Geun ;
Korean Journal of Mathematics, volume 6, issue 2, 1998, Pages 195~203
Abstract
In [3], we showed that overintegration may be needed to obtain the optimal
error rate for the
version. In this paper, we examine the convergence of the
version in practice, and comment on the implementation of the
version in commercial codes. Also, we give an example of a problem with extremely rough coefficients, for which overintegration is necessary to obtain the optimal
convergence rate.
8
ON THE BEHAVIOR OF L
^{2}
HARMONIC FORMS ON COMPLETE MANIFOLDS AT INFINITY AND ITS APPLICATIONS
Yun, Gabjin ;
Korean Journal of Mathematics, volume 6, issue 2, 1998, Pages 205~212
Abstract
We investigate the behavior of
harmonic one forms on complete manifolds and as an application, we show the space of
harmonic one forms on a complete Riemannian manifold of nonnegative Ricci curvature outside a compact set with bounded
-norm of Ricci curvature satisfying the Sobolev inequality is finite dimensional.
9
CONFORMAL CHANGE OF THE TENSOR S
_{λ}
_{μ}
^{ν}
IN 5-DIMENSIONAL g-UFT
Cho, Chung Hyun ;
Korean Journal of Mathematics, volume 6, issue 2, 1998, Pages 213~220
Abstract
We investigate change of the torsion tensor induced by the conformal change in 5-dimensional
-unified field theory. These topics will be studied for the second class in 5-dimensional case.
10
RELATIONS OF IDEALS OF CERTAIN REAL ABELIAN FIELDS
Kim, Jae Moon ;
Korean Journal of Mathematics, volume 6, issue 2, 1998, Pages 221~229
Abstract
Let
be a real abelian field and
be its
-extension for an odd prime
. Let
be the Sylow
-subgroup of the ideal class group of
, the
layer of the
-extension. By using the main conjecture of Iwasawa theory, we have the following: If
does not divide
, then
= {0} for all
, where
and
is the Teichm
ller character for
. The converse of this statement does not hold in general. However, we have the following when
is of prime conductor
: Let
be an odd prime different from
. and let
be a real subfield of
. If
, then
for all
, where
is the
and
is the decomposition field of
for
.
11
CENTRAL LIMIT THEOREM ON HYPERGROUPS
Lee, Jae Won ; Park, Sung Wook ;
Korean Journal of Mathematics, volume 6, issue 2, 1998, Pages 231~242
Abstract
On the basis of Heyer and Zeuner's results we will treat the central limit theorem for probability measures on hypergroup.
12
SOME CHARACTERIZATIONS OF CR-SUBMANIFOLDS WITH (n - 1) CR-DIMENSION IN A COMPLEX PROJECTIVE SPACE
Cho, Kwan-Ho ; Kwon, Jung-Hwan ;
Korean Journal of Mathematics, volume 6, issue 2, 1998, Pages 243~257
Abstract
The purpose of this paper is to give some characterizations of
-dimensional CR-submanifolds with (
) CR-dimension immersed in a complex projective space
, in terms of the Riemannian curvature tensor R.
13
BACKWARD SELF-SIMILAR STOCHASTIC PROCESSES IN STOCHASTIC DIFFERENTIAL EQUATIONS
Oh, Jae-Pill ;
Korean Journal of Mathematics, volume 6, issue 2, 1998, Pages 259~279
Abstract
For the forward-backward semimartingale, we can define the backward semimartingale flow which is generated by the backward canonical stochastic differential equation. Therefore, we define the backward self-similar stochastic processes, and we study the backward self-similar stochastic flows through the canonical stochastic differential equations.
14
SOME EQUATIONS ON THE SUBMANIFOLDS OF A MANIFOLD GSX
_{n}
So, Keumsook ;
Korean Journal of Mathematics, volume 6, issue 2, 1998, Pages 281~289
Abstract
On a generalized Riemannian manifold
, we may impose a particular geometric structure by the basic tensor field
by means of a particular connection
. For example, Einstein's manifold
is based on the Einstein's connection defined by the Einstein's equations. Many recurrent connections have been studied by many geometers, such as Datta and Singel, M. Matsumoto, and E.M. Patterson. The purpose of the present paper is to study some relations between a generalized semisymmetric
-recurrent manifold
and its submanifold. All considerations in this present paper deal with the general case
and all possible classes.
15
A UNIFORM ESTIMATE ON CONVOLUTION OPERATORS WITH THE ARCLENGTH MEASURE ON NONDEGENERATE SPACE CURVES
Choi, Youngwoo ;
Korean Journal of Mathematics, volume 6, issue 2, 1998, Pages 291~298
Abstract
The
mapping properties of convolution operators with measures supported on curves in
have been studied by many authors. Oberlin provided examples of nondegenerate compact space curves whose arclength measures enjoy
-improving properties. This was later extended by Pan who showed that such properties hold for all nondegenerate compact space curves. In this paper, we will prove that the operator norm of the convolution operator with the arclength measure supported on a nondegenerate compact space curve depends only on certain quantities of the underlying curve.
16
ON NONVANISHING SUM OF INTEGRAL SQUARES OF
Kim, Byeong Moon ;
Korean Journal of Mathematics, volume 6, issue 2, 1998, Pages 299~302
Abstract
In this paper, we will determine all the totally positive integers which cannot be represented by the sum of
nonvanishing integral squares when
.
17
ON CONFORMALLY FLAT UNIT VECTOR BUNDLES
Bang, Keumseong ;
Korean Journal of Mathematics, volume 6, issue 2, 1998, Pages 303~311
Abstract
We study the conformally flat unit vector bundle
of constant scalar curvature for the bundle
over an Einstein manifold M.
18
A REMARK ON FORMALITY
Lee, Doobeum ;
Korean Journal of Mathematics, volume 6, issue 2, 1998, Pages 313~318
Abstract
In this paper we prove two independent theorems concerning formality of a nilmanifold and a differential graded algebra using the well-known theorem of Deligne-Griffiths-Morgan-Sullivan. We first give a rational homotopy theoretic proof to the statement that a nilmanifold is formal if and only if it is a torus. And then we study some conditions with which formality of one dga implies formality of the other in an extension of dga's.
19
A NOTE ON NORMAL SUBGROUPS OF M-GROUPS
Wang, Moon-Ok ;
Korean Journal of Mathematics, volume 6, issue 2, 1998, Pages 319~322
Abstract
For an M-group G, it is shown that a normal subgroup of G whose order is coprime to its index is an M-group.
20
ON M-CONTINUITY
Min, Won Keun ; Chang, Hong Soon ;
Korean Journal of Mathematics, volume 6, issue 2, 1998, Pages 323~329
Abstract
In this paper, we introduce a new class of sets, called
-sets, and the notion of
-continuity. In particular,
-sets and
-continuity are used to extend known results for
-continuity and semi-continuity and precontinuity.
21
SUBSERIES CONVERGENCE AND SEQUENCE-EVALUATION CONVERGENCE
Cho, Min-Hyung ; Hwang, Hong Taek ; Yoo, Won Sok ;
Korean Journal of Mathematics, volume 6, issue 2, 1998, Pages 331~339
Abstract
We show a series of improved subseries convergence results, e.g., in a sequentially complete locally convex space X every weakly
-Cauchy series on X must be
-convergent. Thus, if X contains no copy of
, then every weakly
-Cauchy series on X must be subseries convergent.
22
BANACH-SAKS PROPERTY ON THE DUAL OF SCHLUMPRECHT SPACE
Cho, Kyugeun ; Lee, Chongsung ;
Korean Journal of Mathematics, volume 6, issue 2, 1998, Pages 341~348
Abstract
In this paper, we show that Schlumprecht space is reflexive and the Dual of Schlumprecht space has the Banach-Saks property and study behavior of block basic sequence in Schlumprecht space.