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Journal of the Korean Mathematical Society
Journal Basic Information
pISSN :
0304-9914
eISSN :
2234-3008
Journal DOI :
10.4134/JKMS
Frequency :
Others
Publisher:
The Korean Mathematical Society
Editor in Chief :
Volume & Issues
Volume 43, Issue 6 - Nov 2006
Volume 43, Issue 5 - Sep 2006
Volume 43, Issue 4 - Jul 2006
Volume 43, Issue 3 - May 2006
Volume 43, Issue 2 - Mar 2006
Volume 43, Issue 1 - Jan 2006
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1
A REFINEMENT OF GRÜSS TYPE INEQUALITY FOR THE BOCHNER INTEGRAL OF VECTOR-VALUED FUNCTIONS IN HILBERT SPACES AND APPLICATIONS
Buse Constantin ; Cerone Pietro ; Dragomir Sever Silvestru ; Roumeliotis John ;
Journal of the Korean Mathematical Society, volume 43, issue 5, 2006, Pages 911~929
DOI : 10.4134/JKMS.2006.43.5.911
Abstract
A refinement of
type inequality for the Bochner integral of vector-valued functions in real or complex Hilbert spaces is given. Related results are obtained. Application for finite Fourier transforms of vector-valued functions and some particular inequalities are provided.
2
IDENTIFICATION OF CONSTANT PARAMETERS IN PERTURBED SINE-GORDON EQUATIONS
Ha, Jun-Hong ; Nakagiri, Shin-Ichi ;
Journal of the Korean Mathematical Society, volume 43, issue 5, 2006, Pages 931~950
DOI : 10.4134/JKMS.2006.43.5.931
Abstract
We study the identification problems of constant parameters appearing in the perturbed sine-Gordon equation with the Neumann boundary condition. The existence of optimal parameters is proved, and necessary conditions are established for several types of observations by utilizing quadratic optimal control theory due to Lions [13].
3
A TOPOLOGICAL MIRROR SYMMETRY ON NONCOMMUTATIVE COMPLEX TWO-TORI
Kim, Eun-Sang ; Kim, Ho-Il ;
Journal of the Korean Mathematical Society, volume 43, issue 5, 2006, Pages 951~965
DOI : 10.4134/JKMS.2006.43.5.951
Abstract
In this paper, we study a topological mirror symmetry on noncommutative complex tori. We show that deformation quantization of an elliptic curve is mirror symmetric to an irrational rotation algebra. From this, we conclude that a mirror reflection of a noncommutative complex torus is an elliptic curve equipped with a Kronecker foliation.
4
CONDITIONAL FOURIER-FEYNMAN TRANSFORMS OF VARIATIONS OVER WIENER PATHS IN ABSTRACT WIENER SPACE
Cho, Dong-Hyun ;
Journal of the Korean Mathematical Society, volume 43, issue 5, 2006, Pages 967~990
DOI : 10.4134/JKMS.2006.43.5.967
Abstract
In this paper, we evaluate first variations, conditional first variations and conditional Fourier-Feynman transforms of cylinder type functions over Wiener paths in abstract Wiener space and then, investigate relationships among first variation, conditional first variation, Fourier-Feynman transform and conditional Fourier-Feynman transform of those functions. Finally, we derive the conditional Fourier-Feynman transform for the product of cylinder type function which defines the functions in a Banach algebra introduced by Yoo, with n linear factors.
5
A THEORY OF RESTRICTED REGULARITY OF HYPERMAPS
Dazevedo Antonio Breda ;
Journal of the Korean Mathematical Society, volume 43, issue 5, 2006, Pages 991~1018
DOI : 10.4134/JKMS.2006.43.5.991
Abstract
Hypermaps are cellular embeddings of hypergraphs in compact and connected surfaces, and are a generalisation of maps, that is, 2-cellular decompositions of closed surfaces. There is a well known correspondence between hypermaps and co-compact subgroups of the free product
. In this correspondence, hypermaps correspond to conjugacy classes of subgroups of
, and hypermap coverings to subgroup inclusions. Towards the end of [9] the authors studied regular hypermaps with extra symmetries, namely, G-symmetric regular hypermaps for any subgroup G of the outer automorphism Out
of the triangle group
. This can be viewed as an extension of the theory of regularity. In this paper we move in the opposite direction and restrict regularity to normal subgroups
of
of finite index. This generalises the notion of regularity to some non-regular objects.
6
GEOMETRY OF CONTACT STRONGLY PSEUDO-CONVEX CR-MANIFOLDS
Cho, Jong-Taek ;
Journal of the Korean Mathematical Society, volume 43, issue 5, 2006, Pages 1019~1045
DOI : 10.4134/JKMS.2006.43.5.1019
Abstract
As a natural generalization of a Sasakian space form, we define a contact strongly pseudo-convex CR-space form (of constant pseudo-holomorphic sectional curvature) by using the Tanaka-Webster connection, which is a canonical affine connection on a contact strongly pseudo-convex CR-manifold. In particular, we classify a contact strongly pseudo-convex CR-space form
with the pseudo-parallel structure operator
, and then we obtain the nice form of their curvature tensors in proving Schurtype theorem, where
denote the Lie derivative in the characteristic direction
.
7
GOTTLIEB GROUPS AND SUBGROUPS OF THE GROUP OF SELF-HOMOTOPY EQUIVALENCES
Kim, Jae-Ryong ; Oda, Nobuyuki ; Pan, Jianzhong ; Woo, Moo-Ha ;
Journal of the Korean Mathematical Society, volume 43, issue 5, 2006, Pages 1047~1063
DOI : 10.4134/JKMS.2006.43.5.1047
Abstract
Let
be the subgroups of
consisting of homotopy classes of self-homotopy equivalences that fix homotopy groups through the dimension of X and
be the subgroup of
that fix homology groups for all dimension. In this paper, we establish some connections between the homotopy group of X and the subgroup
. We also give some relations between
, as well as a generalized Gottlieb group
, and a subset
of [X, W]. Finally we establish a connection between the coGottlieb group of X and the subgroup of
consisting of homotopy classes of self-homotopy equivalences that fix cohomology groups.
8
MODULI SPACES OF 3-DIMENSIONAL FLAT MANIFOLDS
Kang, Eun-Sook ;
Journal of the Korean Mathematical Society, volume 43, issue 5, 2006, Pages 1065~1080
DOI : 10.4134/JKMS.2006.43.5.1065
Abstract
For 3-dimensional Bieberbach groups, we study the de-formation spaces in the group of isometries of
. First we calculate the discrete representation spaces and the automorphism groups. Then for each of these Bieberbach groups, we give complete descriptions of
spaces, Chabauty spaces, and moduli spaces.
9
ANALYSIS OF A MESHFREE METHOD FOR THE COMPRESSIBLE EULER EQUATIONS
Kim, Yong-Sik ; Pahk, Dae-Hyeon ;
Journal of the Korean Mathematical Society, volume 43, issue 5, 2006, Pages 1081~1098
DOI : 10.4134/JKMS.2006.43.5.1081
Abstract
Mathematical analysis is made on a mesh free method for the compressible Euler equations. In particular, the Moving Least Square Reproducing Kernel (MLSRK) method is employed for space approximation. With the backward-Euler method used for time discretization, existence of discrete solution and it's
estimate are obtained under a regularity assumption of the continuous solution. The result of numerical experiment made on the biconvex airfoil is presented.
10
SELECTION PRINCIPLES AND HYPERSPACE TOPOLOGIES IN CLOSURE SPACES
Mrsevic, Mila ; Jelic, Milena ;
Journal of the Korean Mathematical Society, volume 43, issue 5, 2006, Pages 1099~1114
DOI : 10.4134/JKMS.2006.43.5.1099
Abstract
Relations between closure-type properties of hyperspaces over a
closure space (X, u) and covering properties of (X, u) are investigated.
11
MAXIMAL HOLONOMY OF INFRA-NILMANIFOLDS WITH so(3)×ℝ
^{3}
-GEOMETRY
Lee, Kyung-Bai ; Shin, Joon-Kook ;
Journal of the Korean Mathematical Society, volume 43, issue 5, 2006, Pages 1115~1128
DOI : 10.4134/JKMS.2006.43.5.1115
Abstract
Let
be the 6-dimensional nilpotent Lie group with group operation (s, x)(t, y) =
. We prove that the maximal order of the holonomy groups of all infra-nilmanifolds with
-geometry is 16.
12
TUBES IN SINGULAR SPACES OF NONPOSITIVE CURVATURE
Chai, Young-Do ; Lee, Doo-Hann ;
Journal of the Korean Mathematical Society, volume 43, issue 5, 2006, Pages 1129~1142
DOI : 10.4134/JKMS.2006.43.5.1129
Abstract
In this paper, we estimate area of tube in a CBA(0)-space with extendible geodesics. As its application, we obtain an upper bound of systole in a nonsimply connected space of nonpositive curvature. Also, we determine a relative growth of a ball in a CBA(0)-space to the corresponding ball in Euclidean plane.