http://chineseinput.net/에서 pinyin(병음)방식으로 중국어를 변환할 수 있습니다.
변환된 중국어를 복사하여 사용하시면 됩니다.
Tubes in singular spaces of nonpositive curvature
채영도,이두한 대한수학회 2006 대한수학회지 Vol.43 No.5
In this paper, we estimate area of tube in a CBA(0)-space withextendible geodesics. As its application, we obtain an upper boundof systole in a nonsimply connected space of nonpositivecurvature. Also, we determine a relative growth of a ball in aCBA(0)-space to the corresponding ball in Euclidean plane.
LOWER BOUND OF LENGTH OF TRIANGLE INSCRIBED IN A CIRCLE ON NON-EUCLIDEAN SPACES
채영도,이영수 호남수학회 2012 호남수학학술지 Vol.34 No.1
Wetzel[5] proved if is a closed curve of length L in En, then lies in some ball of radius [L=4]. In this paper, we gener-alize Wetzel's result to the non-Euclidean plane with much stronger version. That is to develop a lower bound of length of a triangle inscribed in a circle in non-Euclidean plane in terms of a chord of the circle.
채영도,이영수 호남수학회 2012 호남수학학술지 Vol.34 No.3
In this paper, we prove that if K is a convex body in En and Ei and Eo are inscribed ellipsoid and circumscribed ellipsoid of K respectively with Ei = Eo, then h ()np +1in !2n V (K)V ( pK) h 1np +1in !2n : Lutwak and Zhang[6] proved that if K is a convex body, !2n = V (K)V ( pK) if and only if K is an ellipsoid. Our inequality provides very elementary proof for their result and this in turn gives a lower bound of the volume product for the sets of constant width.
A geometric inequality on a compact domain in $\mathbb R^{n}$
채영도,조용승 대한수학회 2018 대한수학회보 Vol.55 No.1
In this paper, we study some topological structure of a compact domain in $\mathbb R^{n}$ in terms of the curvature conditions and develop a geometric inequality involving the volume and the integral of mean curvatures over the boundary of the compact domain.
On the Finite Compactness in Normed Spaces
Chai, Young-Do,Lee, Young-Soo 성균관대학교 기초과학연구소 1992 論文集 Vol.43 No.2
H. Busemann introduces finite compactness in a metric space in [2]. In this paper we consider finite compactness in a normed spaces and obtain some result of the finite compactness in normed spaces.
Chai, Young-Do,Lee, Young-Soo,Kim, Yong-Il 성균관대학교 기초과학연구소 1993 論文集 Vol.44 No.1
In this paper, we get some integral formula from integral geometry in Euclidean plane.