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Communications of the Korean Mathematical Society
Journal Basic Information
pISSN :
1225-1763
eISSN :
2234-3024
Journal DOI :
10.4134/CKMS
Frequency :
Others
Publisher:
The Korean Mathematical Society
Editor in Chief :
Volume & Issues
Volume 29, Issue 4 - Oct 2014
Volume 29, Issue 3 - Jul 2014
Volume 29, Issue 2 - Apr 2014
Volume 29, Issue 1 - Jan 2014
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1
HILBERT 2-CLASS FIELD TOWERS OF REAL QUADRATIC FUNCTION FIELDS
Jung, Hwanyup ;
Communications of the Korean Mathematical Society, volume 29, issue 2, 2014, Pages 219~226
DOI : 10.4134/CKMS.2014.29.2.219
Abstract
In this paper we study the infiniteness of Hilbert 2-class field towers of real quadratic function fields over
, where q is a power of an odd prime number.
2
NONNEGATIVE INTEGRAL MATRICES HAVING GENERALIZED INVERSES
Kang, Kyung-Tae ; Beasley, LeRoy B. ; Encinas, Luis Hernandez ; Song, Seok-Zun ;
Communications of the Korean Mathematical Society, volume 29, issue 2, 2014, Pages 227~237
DOI : 10.4134/CKMS.2014.29.2.227
Abstract
For an
nonnegative integral matrix A, a generalized inverse of A is an
nonnegative integral matrix G satisfying AGA = A. In this paper, we characterize nonnegative integral matrices having generalized inverses using the structure of nonnegative integral idempotent matrices. We also define a space decomposition of a nonnegative integral matrix, and prove that a nonnegative integral matrix has a generalized inverse if and only if it has a space decomposition. Using this decomposition, we characterize nonnegative integral matrices having reflexive generalized inverses. And we obtain conditions to have various types of generalized inverses.
3
SHIFTED HARMONIC SUMS OF ORDER TWO
Sofo, Anthony ;
Communications of the Korean Mathematical Society, volume 29, issue 2, 2014, Pages 239~255
DOI : 10.4134/CKMS.2014.29.2.239
Abstract
We develop a set of identities for Euler type sums. In particular we investigate products of shifted harmonic numbers of order two and reciprocal binomial coefficients.
4
GENERALIZED RIESZ POINTS FOR PERTURBATIONS OF TOEPLITZ OPERATORS
Kim, An Hyun ;
Communications of the Korean Mathematical Society, volume 29, issue 2, 2014, Pages 257~262
DOI : 10.4134/CKMS.2014.29.2.257
Abstract
In this note we consider "generalized Riesz points" for compact and quasinilpotent perturbations of Toeplitz operators acting on the Hardy space of the unit circle.
5
ON THE GROWTH RATE OF SOLUTIONS TO GROSS-NEVEU AND THIRRING EQUATIONS
Huh, Hyungjin ;
Communications of the Korean Mathematical Society, volume 29, issue 2, 2014, Pages 263~267
DOI : 10.4134/CKMS.2014.29.2.263
Abstract
We study the growth rate of
Sobolev norm of the solutions to Gross-Neveu and Thirring equations. A well-known result is the double exponential rate. We show that the
Sobolev norm grows at most an exponential rate exp(
).
6
FURTHER EXPANSION AND SUMMATION FORMULAS INVOLVING THE HYPERHARMONIC FUNCTION
Gaboury, Sebastien ;
Communications of the Korean Mathematical Society, volume 29, issue 2, 2014, Pages 269~283
DOI : 10.4134/CKMS.2014.29.2.269
Abstract
The aim of the paper is to present several new relationships involving the hyperharmonic function introduced by Mez
in (I. Mez
, Analytic extension of hyperharmonic numbers, Online J. Anal. Comb. 4, 2009) which is an analytic extension of the hyperharmonic numbers. These relations are obtained by using some fractional calculus theorems as Leibniz rules and Taylor like series expansions.
7
STABLE WEAK SHADOWABLE SYMPLECTOMORPHISMS ARE PARTIALLY HYPERBOLIC
Bessa, Mario ; Vaz, Sandra ;
Communications of the Korean Mathematical Society, volume 29, issue 2, 2014, Pages 285~293
DOI : 10.4134/CKMS.2014.29.2.285
Abstract
Let M be a closed, symplectic connected Riemannian manifold and f a symplectomorphism on M. We prove that if f is
-stably weak shadowable on M, then the whole manifold M admits a partially hyperbolic splitting.
8
ON LIGHTLIKE SUBMANIFOLDS OF A GRW SPACE-TIME
Kang, Tae Ho ;
Communications of the Korean Mathematical Society, volume 29, issue 2, 2014, Pages 295~310
DOI : 10.4134/CKMS.2014.29.2.295
Abstract
This paper provides a study of lightlike submanifolds of a generalized Robertson-Walker (GRW) space-time. In particular, we investigate lightlike submanifolds with curvature invariance, parallel second fundamental forms, totally umbilical second fundamental forms, null sectional curvatures and null Ricci curvatures, respectively.
9
ASCREEN LIGHTLIKE HYPERSURFACES OF A SEMI-RIEMANNIAN SPACE FORM WITH A SEMI-SYMMETRIC NON-METRIC CONNECTION
Jin, Dae Ho ;
Communications of the Korean Mathematical Society, volume 29, issue 2, 2014, Pages 311~317
DOI : 10.4134/CKMS.2014.29.2.311
Abstract
We study lightlike hypersurfaces of a semi-Riemannian space form
admitting a semi-symmetric non-metric connection. First, we construct a type of lightlike hypersurfaces according to the form of the structure vector field of
, which is called a ascreen lightlike hypersurface. Next, we prove a characterization theorem for such an ascreen lightlike hypersurface endow with a totally geodesic screen distribution.
10
CONFORMALLY RECURRENT SPACE-TIMES ADMITTING A PROPER CONFORMAL VECTOR FIELD
De, Uday Chand ; Mantica, Carlo Alberto ;
Communications of the Korean Mathematical Society, volume 29, issue 2, 2014, Pages 319~329
DOI : 10.4134/CKMS.2014.29.2.319
Abstract
In this paper we study the properties of conformally recurrent pseudo Riemannian manifolds admitting a proper conformal vector field with respect to the scalar field
, focusing particularly on the 4-dimensional Lorentzian case. Some general properties already proven by one of the present authors for pseudo conformally symmetric manifolds endowed with a conformal vector field are proven also in the case, and some new others are stated. Moreover interesting results are pointed out; for example, it is proven that the Ricci tensor under certain conditions is Weyl compatible: this notion was recently introduced and investigated by one of the present authors. Further we study conformally recurrent 4-dimensional Lorentzian manifolds (space-times) admitting a conformal vector field: it is proven that the covector
is null and unique up to scaling; moreover it is shown that the same vector is an eigenvector of the Ricci tensor. Finally, it is stated that such space-time is of Petrov type N with respect to
.
11
ON A SEMI-SYMMETRIC METRIC CONNECTION IN AN (ε)-KENMOTSU MANIFOLD
Singh, Ram Nawal ; Pandey, Shravan Kumar ; Pandey, Giteshwari ; Tiwari, Kiran ;
Communications of the Korean Mathematical Society, volume 29, issue 2, 2014, Pages 331~343
DOI : 10.4134/CKMS.2014.29.2.331
Abstract
The object of the present paper is to study a semi-symmetric metric connection in an (
)-Kenmotsu manifold. In this paper, we study a semi-symmetric metric connection in an (
)-Kenmotsu manifold whose projective curvature tensor satisfies certain curvature conditions.
12
POSITIVELY MEASURE EXPANSIVE AND EXPANDING
Ahn, Jiweon ; Lee, Keonhee ; Lee, Manseob ;
Communications of the Korean Mathematical Society, volume 29, issue 2, 2014, Pages 345~349
DOI : 10.4134/CKMS.2014.29.2.345
Abstract
We show that
-generically, a differentiable map is positively measure expansive if and only if it is expanding.
13
THE LIMIT THEOREMS UNDER LOGARITHMIC AVERAGES FOR MIXING RANDOM VARIABLES
Zhang, Yong ;
Communications of the Korean Mathematical Society, volume 29, issue 2, 2014, Pages 351~358
DOI : 10.4134/CKMS.2014.29.2.351
Abstract
In this paper, under some suitable integrability and smoothness conditions on f, we establish the central limit theorems for
, where
is the partial sums of strictly stationary mixing random variables with
and
. We also establish an almost sure limit behaviors of the above sums.
14
ON MINUS TOTAL DOMINATION OF DIRECTED GRAPHS
Li, WenSheng ; Xing, Huaming ; Sohn, Moo Young ;
Communications of the Korean Mathematical Society, volume 29, issue 2, 2014, Pages 359~366
DOI : 10.4134/CKMS.2014.29.2.359
Abstract
A three-valued function f defined on the vertices of a digraph D = (V, A),
is a minus total dominating function(MTDF) if
for each vertex
. The minus total domination number of a digraph D equals the minimum weight of an MTDF of D. In this paper, we discuss some properties of the minus total domination number and obtain a few lower bounds of the minus total domination number on a digraph D.
15
ON A GENERALIZED BERGE STRONG EQUILIBRIUM
Kim, Won Kyu ;
Communications of the Korean Mathematical Society, volume 29, issue 2, 2014, Pages 367~377
DOI : 10.4134/CKMS.2014.29.2.367
Abstract
In this paper, we first introduce a generalized concept of Berge strong equilibrium for a generalized game
of normal form, and using a fixed point theorem for compact acyclic maps in admissible convex sets, we establish the existence theorem of generalized Berge strong equilibrium for the game
with acyclic values. Also, we have demonstrated by examples that our new approach is useful to produce generalized Berge strong equilibria.
16
SAMPLING EXPANSION OF BANDLIMITED FUNCTIONS OF POLYNOMIAL GROWTH ON THE REAL LINE
Shin, Chang Eon ;
Communications of the Korean Mathematical Society, volume 29, issue 2, 2014, Pages 379~385
DOI : 10.4134/CKMS.2014.29.2.379
Abstract
For a bandlimited function with polynomial growth on the real line, we derive a nonuniform sampling expansion using a special bandlimited function which has polynomial decay on the real line. The series converges uniformly on any compact subsets of the real line.