http://chineseinput.net/에서 pinyin(병음)방식으로 중국어를 변환할 수 있습니다.
변환된 중국어를 복사하여 사용하시면 됩니다.
SOME CLASSES OF 3-DIMENSIONAL NORMAL ALMOST PARACONTACT METRIC MANIFOLDS
호남수학회 호남수학회 2015 호남수학학술지 Vol.37 No.4
The aim of present paper is to investigate 3-dimensional ξ-projectively flat and φ-projectively flat normal almost paracontact metric manifolds. As a first step, we proved that if the 3-dimensional normal almost paracontact metric manifold is ξ-projectively flat then ◁β= 0. If additionally β is constant then the manifold is β-para-Sasakian. Later, we proved that a 3-dimensional normal almost paracontact metric manifold is φ-projectively flat if and only if it is an Einstein manifold for α,β=const. Finally, we constructed an example to illustrate the results obtained in previous sections.
SOME CLASSES OF $3$-DIMENSIONAL NORMAL ALMOST PARACONTACT METRIC MANIFOLDS
I. KÄupeli Erken 호남수학회 2015 호남수학학술지 Vol.37 No.4
The aim of present paper is to investigate $3$-dimensional $\xi $% -projectively flat and $\tilde{\varphi}$-projectively flat normal almost paracontact metric manifolds. As a first step, we proved that if the $3$% -dimensional normal almost paracontact metric manifold is $\xi $% -p\-ro\-jec\-ti\-vely flat then $\Delta \beta =0$. If additionally $\beta $ is constant then the manifold is $\beta $-para-Sasakian. Later, we proved that a $3$-dimensional normal almost paracontact metric manifold is $\tilde{% \varphi}$-projectively flat if and only if it is an Einstein manifold for $% \alpha ,\beta =$const. Finally, we constructed an example to illustrate the results obtained in previous sections.
A Note on Smooth Affine Varieties
So, Kwang Ho 호남수학회 1979 호남수학학술지 Vol.1 No.1
本 論文에서는 smooth Affine variety가 微分可能 多樣體임을 보임으로써 代數幾何學이 多樣體理論과 關聯됨을 論하였다. §1 에서는 affine variety의 次元과 affine variety의 接空間에 對한 定義와 그에 關聯된 性質들을 論하였고 §2 에서는 simple point와 局所 媒介變數, 그리고 θ_x에서의 有理函數의 Taylor 級數 等을 利用하여 主定理(定理9)를 證明하였다.
A miscellany of selection theorems without convexity
김훈주 호남수학회 2013 호남수학학술지 Vol.35 No.4
In this paper, we give sucient conditions for a mapwith nonconvex values to have a continuous selection and the se-lection extension property in LC-metric spaces under the one-pointextension property. And we apply it to weakly lower semicontinu-ous maps and generalize previous results. We also get a continuousselection theorem for almost lower semicontinuous maps with closedsub-admissible values in R-trees.
CANONICAL LEFT CELLS AND THE SHORTEST LENGTH ELEMENTS IN THE DOUBLE COSETS OF WEYL GROUPS
권남희 호남수학회 2011 호남수학학술지 Vol.33 No.1
Let G be the general linear group GL(n, C), W_0 the Weyl group of G and W the extended aneWeyl group of G. Then,it is well-known that W is a union of the double cosets W_(0x)W_0 as x moves over the set of dominant weights of W. It is also known that each double coset W0xW0 contains a unique element m_x of the shortest length. These shortest length elements belong to what are called the canonical left cells. However, it is still an open problem to nd the canonical left cell containing a given m_x. One of the main purposes of this paper is to introduce a new approach to attack this question. In particular, we will present a conjecture which explicitly describes the canonical left cells containing an element mx. We will show that our conjecture is true for some specific types of m_x.
GENERALIZED PROPERTIES OF STRONGLY FRECHET
조명현,김준희,문미애 호남수학회 2012 호남수학학술지 Vol.34 No.1
Our purpose of this paper is to introduce and study some properties related to approximations by points. More pre-cisely, we introduce strongly AP, strongly AFP, strongly ACP, and strongly WAP properties which are stronger than AP, AFP, ACP,and WAP respectively. Also they are weaker than strongly Frechet property. And we study general properties and topological opera-tions on such spaces and give some examples.
Normal numbers mod 2 on the logistic map
안영호 호남수학회 2013 호남수학학술지 Vol.35 No.4
We show that for the logistic map, almost every x isa normal number mod 2 with respect to all intervals except for[a, b] = [ 14 , 1] or [a, b] = [ 12 -p34, 12 +p34 ]
HORIZONTAL SUBSPACES IN THE BUNDLE OF LINEAR FRAMES
박준식 호남수학회 2012 호남수학학술지 Vol.34 No.4
Let L(M) be the bundle of all linear frames over a smooth manifold M, u an arbitrarily given point of L(M), and r : X(M) X(M) -> X(M) a linear connection on M. Then the following result is well known: the horizontal subspace at the point u may be written in terms of local coordinates of u 2 L(M) and Christo el's symbols de ned by r. This result is very fundamental on the study of the theory of connections. In this paper we show that the local expression of the horizontal subspace at the point u does not depend on the choice of a local coordinate system around the point u 2 L(M), which is rarely seen.
On the identities between the arithmetic functions
김인숙 호남수학회 2015 호남수학학술지 Vol.37 No.4
Dirichlet series is a Riemann zeta function attached with an arithmetic function. Here, we studied the properties of Dirichlet series and found some identities between arithmetic functions.
김봉진,김병수 호남수학회 2011 호남수학학술지 Vol.33 No.2
We examine the various relationships that exist among the Fourier-Yeh-Feynman transform, convolution and the rst variation for functionals on Yeh-Wiener space that belong to a Banach algebra S(Q).