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Bulletin of the Korean Mathematical Society
Journal Basic Information
pISSN :
1015-8634
eISSN :
2234-3016
Journal DOI :
10.4134/BKMS
Frequency :
Others
Publisher:
The Korean Mathematical Society
Editor in Chief :
Volume & Issues
Volume 49, Issue 6 - Nov 2012
Volume 49, Issue 5 - Sep 2012
Volume 49, Issue 4 - Jul 2012
Volume 49, Issue 3 - May 2012
Volume 49, Issue 2 - Mar 2012
Volume 49, Issue 1 - Jan 2012
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1
TRANSVERSE KILLING FORMS ON A KÄAHLER FOLIATION
Jung, Seoung-Dal ; Jung, Min-Joo ;
Bulletin of the Korean Mathematical Society, volume 49, issue 3, 2012, Pages 445~454
DOI : 10.4134/BKMS.2012.49.3.445
Abstract
On a closed, connected Riemannian manifold with a K
ahler foliation
of codimension
, any transverse Killing
-form (
) is parallel.
2
ANTI-PERIODIC SOLUTIONS FOR HIGHER-ORDER LIÉENARD TYPE DIFFERENTIAL EQUATION WITH p-LAPLACIAN OPERATOR
Chen, Taiyong ; Liu, Wenbin ;
Bulletin of the Korean Mathematical Society, volume 49, issue 3, 2012, Pages 455~463
DOI : 10.4134/BKMS.2012.49.3.455
Abstract
In this paper, by using degree theory, we consider a kind of higher-order Li
enard type
-Laplacian differential equation as follows
. Some new results on the existence of anti-periodic solutions for above equation are obtained.
3
EXTREMUM PROPERTIES OF DUAL L
_{p}
-CENTROID BODY AND L
_{p}
-JOHN ELLIPSOID
Ma, Tong-Yi ;
Bulletin of the Korean Mathematical Society, volume 49, issue 3, 2012, Pages 465~479
DOI : 10.4134/BKMS.2012.49.3.465
Abstract
For
<
and a convex body
in
, Lutwak, Yang and Zhang defined the concept of dual
-centroid body
and
-John ellipsoid
. In this paper, we prove the following two results: (i) For any origin-symmetric convex body
, there exist an ellipsoid
and a parallelotope
such that for
and
<
,
and
; For
and
<
,
and
. (ii) For any convex body
whose John point is at the origin, there exists a simplex
such that for
and
<
,
and
.
4
AN EXTENDED SPACE
_{L}
(S) ASSOCIATED WITH
_{L}
(S)
Yang, Mee-Hyea ;
Bulletin of the Korean Mathematical Society, volume 49, issue 3, 2012, Pages 481~493
DOI : 10.4134/BKMS.2012.49.3.481
Abstract
Let
be a upper triangular operator such that
defined by
is a contraction. Then there exists an unitary linear system whose state space is the extension space
(S) associated with
(S).
5
CONVERGENCE RATES FOR THE MOMENTS OF EXTREMES
Peng, Zuoxiang ; Nadarajah, Saralees ;
Bulletin of the Korean Mathematical Society, volume 49, issue 3, 2012, Pages 495~510
DOI : 10.4134/BKMS.2012.49.3.495
Abstract
Let
,
,
,
be a sequence of independent and identically distributed random variables with common distribution function
. Convergence rates for the moments of extremes are studied by virtue of second order regularly conditions. A unified treatment is also considered under second order von Mises conditions. Some examples are given to illustrate the results.
6
PRIME RADICALS IN UP-MONOID RINGS
Cheon, Jeoung-Soo ; Kim, Jin-A ;
Bulletin of the Korean Mathematical Society, volume 49, issue 3, 2012, Pages 511~515
DOI : 10.4134/BKMS.2012.49.3.511
Abstract
We first show that the semiprimeness, primeness, and reducedness can go up to up-monoid rings. By these results we can compute the lower nilradicals of up-monoid rings, from which the well-known fact of Amitsur and McCoy for the polynomial rings can be extended to up-monoid rings.
7
THE DOMAIN OF ATTRACTION FOR A SEIR EPIDEMIC MODEL BASED ON SUM OF SQUARE OPTIMIZATION
Chen, Xiangyong ; Li, Chunji ; Lu, Jufang ; Jing, Yuanwei ;
Bulletin of the Korean Mathematical Society, volume 49, issue 3, 2012, Pages 517~528
DOI : 10.4134/BKMS.2012.49.3.517
Abstract
This paper is estimating the domain of attraction for a class of susceptible-exposed-infectious-recovered (SEIR) epidemic dynamic models by using sum of squares optimization. First, the stability is analyzed for the equilibriums of SEIR model, and the domain of attraction in the endemic equilibrium is estimated by using sum of squares optimization. Finally, a numerical example is examined.
8
CUSP FORMS IN S
_{4}
(Γ
_{0}
(79)) AND THE NUMBER OF REPRESENTATIONS OF POSITIVE INTEGERS BY SOME DIRECT SUM OF BINARY QUADRATIC FORMS WITH DISCRIMINANT -79
Kendirli, Baris ;
Bulletin of the Korean Mathematical Society, volume 49, issue 3, 2012, Pages 529~572
DOI : 10.4134/BKMS.2012.49.3.529
Abstract
A basis of a subspace of
is given and the formulas for the number of representations of positive integers by some direct sums of the quadratic forms
,
,
are determined.
9
(1,λ)-EMBEDDED GRAPHS AND THE ACYCLIC EDGE CHOOSABILITY
Zhang, Xin ; Liu, Guizhen ; Wu, Jian-Liang ;
Bulletin of the Korean Mathematical Society, volume 49, issue 3, 2012, Pages 573~580
DOI : 10.4134/BKMS.2012.49.3.573
Abstract
A (1,
)-embedded graph is a graph that can be embedded on a surface with Euler characteristic
so that each edge is crossed by at most one other edge. A graph
is called
-linear if there exists an integral constant
such that
for each
. In this paper, it is shown that every (1,
)-embedded graph
is 4-linear for all possible
, and is acyclicly edge-(
)-choosable for
= 1, 2.
10
MELTING OF THE EUCLIDEAN METRIC TO NEGATIVE SCALAR CURVATURE IN 3 DIMENSION
Kang, Yu-Tae ; Kim, Jong-Su ; Kwak, Se-Ho ;
Bulletin of the Korean Mathematical Society, volume 49, issue 3, 2012, Pages 581~588
DOI : 10.4134/BKMS.2012.49.3.581
Abstract
We find a
one-parameter family of Riemannian metrics
on
for
for some number
with the following property:
is the Euclidean metric on
, the scalar curvatures of
are strictly decreasing in t in the open unit ball and
is isometric to the Euclidean metric in the complement of the ball.
11
STRONGLY NIL CLEAN MATRICES OVER R[x]/(x
^{2}
-1)
Chen, Huanyin ;
Bulletin of the Korean Mathematical Society, volume 49, issue 3, 2012, Pages 589~599
DOI : 10.4134/BKMS.2012.49.3.589
Abstract
An element of a ring is called strongly nil clean provided that it can be written as the sum of an idempotent and a nilpotent element that commute. We characterize, in this article, the strongly nil cleanness of
and
matrices over
where
is a commutative local ring with characteristic 2. Matrix decompositions over fields are derived as special cases.
12
MODULE-THEORETIC CHARACTERIZATIONS OF KRULL DOMAINS
Kim, Hwan-Koo ;
Bulletin of the Korean Mathematical Society, volume 49, issue 3, 2012, Pages 601~608
DOI : 10.4134/BKMS.2012.49.3.601
Abstract
The following statements for an infra-Krull domain
are shown to be equivalent: (1)
is a Krull domain; (2) for any essentially finite
-module
over
, the torsion submodule
of
is a direct summand of
; (3) for any essentially finite
-module
over
,
, for all maximal
-ideal
of
; (4)
satisfies the
-radical formula; (5) the
-module
satisfies the
-radical formula.
13
FOURIER-TYPE FUNCTIONALS ON WIENER SPACE
Chung, Hyun-Soo ; Tuan, Vu Kim ;
Bulletin of the Korean Mathematical Society, volume 49, issue 3, 2012, Pages 609~619
DOI : 10.4134/BKMS.2012.49.3.609
Abstract
In this paper we define the Fourier-type functionals via the Fourier transform on Wiener space. We investigate some properties of the Fourier-type functionals. Finally, we establish integral transform of the Fourier-type functionals which also can be expressed by other Fourier-type functionals.
14
TWO RESULTS FOR THE TERMINATING
_{3}
F
_{2}
(2) WITH APPLICATIONS
Kim, Yong-Sup ; Choi, June-Sang ; Rathie, Arjun K. ;
Bulletin of the Korean Mathematical Society, volume 49, issue 3, 2012, Pages 621~633
DOI : 10.4134/BKMS.2012.49.3.621
Abstract
By establishing a new summation formula for the series
, recently Rathie and Pogany have obtained an interesting result known as Kummer type II transformation for the generalized hypergeometric function
. Here we aim at deriving their result by using a very elementary method and presenting two elegant results for certain terminating series
. Furthermore two interesting applications of our new results are demonstrated.
15
A STUDY ON A RULED SURFACE WITH LIGHTLIKE RULING FOR A NULL CURVE WITH CARTAN FRAME
Ayyildiz, Nihat ; Turhan, Tunahan ;
Bulletin of the Korean Mathematical Society, volume 49, issue 3, 2012, Pages 635~645
DOI : 10.4134/BKMS.2012.49.3.635
Abstract
In this study, we investigate the curvature functions of ruled surface with lightlike ruling for a null curve with Cartan frame in Minkowski 3-space. Also, we give relations between the curvature functions of this ruled surface and curvature functions of central normal surface. Finally, we use the curvature theory of the ruled surface for determine differential properties of a robot end-effector motion.
16
A GENERALIZATION OF THE LORENTZIAN SPLITTING THEOREM
Yun, Jong-Gug ;
Bulletin of the Korean Mathematical Society, volume 49, issue 3, 2012, Pages 647~653
DOI : 10.4134/BKMS.2012.49.3.647
Abstract
In this paper, we obtain a generalized Lorentzian splitting theorem by weakening the assumption of nonnegative Ricci curvature.
17
CRITICAL POINT METRICS OF THE TOTAL SCALAR CURVATURE
Chang, Jeong-Wook ; Hwang, Seung-Su ; Yun, Gab-Jin ;
Bulletin of the Korean Mathematical Society, volume 49, issue 3, 2012, Pages 655~667
DOI : 10.4134/BKMS.2012.49.3.655
Abstract
In this paper, we deal with a critical point metric of the total scalar curvature on a compact manifold
. We prove that if the critical point metric has parallel Ricci tensor, then the manifold is isometric to a standard sphere. Moreover, we show that if an
-dimensional Riemannian manifold is a warped product, or has harmonic curvature with non-parallel Ricci tensor, then it cannot be a critical point metric.