• 제목/요약/키워드: G-structure

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A NOTE ON INVARIANT PSEUDOHOLOMORPHIC CURVES

  • Cho, Yong-Seung;Joe, Do-Sang
    • 대한수학회보
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    • 제38권2호
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    • pp.347-355
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    • 2001
  • Let ($X, \omega$) be a closed symplectic 4-manifold. Let a finite cyclic group G act semifreely, holomorphically on X as isometries with fixed point set $\Sigma$(may be empty) which is a 2-dimension submanifold. Then there is a smooth structure on the quotient X'=X/G such that the projection $\pi$:X$\rightarrow$X' is a Lipschitz map. Let L$\rightarrow$X be the Spin$^c$ -structure on X pulled back from a Spin$^c$-structure L'$\rightarrow$X' and b_2^$+(X')>1. If the Seiberg-Witten invariant SW(L')$\neq$0 of L' is non-zero and $L=E\bigotimesK^-1\bigotimesE$ then there is a G-invariant pseudo-holomorphic curve u:$C\rightarrowX$,/TEX> such that the image u(C) represents the fundamental class of the Poincare dual $c_1$(E). This is an equivariant version of the Taubes' Theorem.

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CONFORMAL CHANGES OF A RIZZA MANIFOLD WITH A GENERALIZED FINSLER STRUCTURE

  • Park, Hong-Suh;Lee, Il-Yong
    • 대한수학회보
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    • 제40권2호
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    • pp.327-340
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    • 2003
  • We are devoted to dealing with the conformal theory of a Rizza manifold with a generalized Finsler metric $G_{ij}$ (x,y) and a new conformal invariant non-linear connection $M^{i}$ $_{j}$ (x,y) constructed from the generalized Cern's non-linear connection $N^{i}$ $_{j}$ (x,y) and almost complex structure $f^{i}$ $_{j}$ (x). First, we find a conformal invariant connection ( $M_{j}$ $^{i}$ $_{k}$ , $M^{i}$ $_{j}$ , $C_{j}$ $^{i}$ $_{k}$ ) and conformal invariant tensors. Next, the nearly Kaehlerian (G, M)-structures under conformal change in a Rizza manifold are investigate.

Facile Synthesis of Hollow CuO/MWCNT Composites by Infiltration-Reduction-Oxidation Method as High Performance Lithium-ion Battery Anodes

  • Zheng, Gang;Li, Zhiang;Lu, Jinhua;Zhang, Jinhua;Chen, Long;Yang, Maoping
    • Journal of Electrochemical Science and Technology
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    • 제11권4호
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    • pp.399-405
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    • 2020
  • Hollow copper oxide/multi-walled carbon nanotubes (CuO/MWCNT) composites were fabricated via an optimized infiltration-reduction-oxidation method, which is more facile and easy to control. The crystalline structure and morphology were characterized by X-ray diffraction (XRD), and transmission electron microscopy (TEM). The as-prepared CuO/MWCNT composites deliver an initial capacity of 612.3 mAh·g-1 and with 80% capacity retention (488.2 mAh·g-1) after 100 cycles at a current rate of 0.2 A·g-1. The enhanced electrochemical performance is ascribed to the better electrical conductivity of MWCNT, the hollow structure of CuO particles, and the flexible structure of the CuO/MWCNT composites.

일방향 응고한 $Al-CuAl_2$ 공정복합재료에 관한 연구;층상간격과 결함밀도에 미치는 응고조건과 진동의 영향 (The Study on the Unidirectionally Solidified $Al-CuAl_2$ Eutectic Composites;Effect of Vibration on the Lamellar Spacing and Fault Density)

  • 이길홍;이현규
    • 한국주조공학회지
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    • 제17권2호
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    • pp.188-194
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    • 1997
  • The effects of solidification condition and vibration on structure refinement were investigated for unidirectionally solidified $Al-CuAl_2$ eutectic composites. Eutectic composites were unidirectionally solidified under vibration with different growth rates (R) and thermal gradient(G). The lamellar structure was varied according to growth condition (G/R ratio). For the structure refinement the effect of G/R was found out to be greater than that of vibration. The interlamellar spacing(${\lambda}$) in this materials was varied with the growth rates(R) with "${\lambda}^2R$=Constant" relationship.

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RIBBON CATEGORY AND MAPPING CLASS GROUPS

  • Song, Yong-Jin
    • 대한수학회지
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    • 제37권3호
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    • pp.491-502
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    • 2000
  • The disjoint union of mapping class groups g,1 gives us a braided monoidal category so that it gives rise to a double loop space structure. We show that there exists a natural twist in this category, so it gives us a ribbon category. We show that there exists a natural twist in this category, so it gives us a ribbon category. We explicitly express this structure by showing how the twist acts on the fundamental group of the surface Sg,l. We also make an explicit description of this structure in terms of the standard Dehn twists, as well as in terms of Wajnryb's Dehn twists. We show that the inverse of the twist g for the genus g equals the Dehn twist along the fixed boundary of the surface Sg,l.

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A Label Graph Based Verifiable Secret Sharing Scheme for General Access Structures

  • Hsu, Ching-Fang;Zeng, Bing;Cheng, Qi
    • Journal of Communications and Networks
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    • 제15권4호
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    • pp.407-410
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    • 2013
  • Secret sharing is that a dealer distributes a piece of information (called a share) about a secret to each participant such that authorized subsets of participants can reconstruct the secret but unauthorized subsets of participants cannot determine the secret. In this paper, an access structure can be represented by a label graph G, where a vertex denotes a participant and a complete subgraph of G corresponds to a minimal authorized subset. The vertices of G are labeled into distinct vectors uniquely determined by the maximum prohibited structure. Based on such a label graph, a verifiable secret sharing scheme realizing general access structures is proposed. A major advantage of this scheme is that it applies to any access structure, rather than only structures representable as previous graphs, i.e., the access structures of rank two. Furthermore, verifiability of the proposed scheme can resist possible internal attack performed by malicious participants, who want to obtain additional shares or provide a fake share to other participants.

KILLING STRUCTURE JACOBI OPERATOR OF A REAL HYPERSURFACE IN A COMPLEX PROJECTIVE SPACE

  • Perez, Juan de Dios
    • 대한수학회지
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    • 제58권2호
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    • pp.473-486
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    • 2021
  • We prove non-existence of real hypersurfaces with Killing structure Jacobi operator in complex projective spaces. We also classify real hypersurfaces in complex projective spaces whose structure Jacobi operator is Killing with respect to the k-th generalized Tanaka-Webster connection.

FINITE GROUPS WITH A CYCLIC NORM QUOTIENT

  • Wang, Junxin
    • 대한수학회보
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    • 제53권2호
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    • pp.479-486
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    • 2016
  • The norm N(G) of a group G is the intersection of the normalizers of all the subgroups of G. In this paper, the structure of finite groups with a cyclic norm quotient is determined. As an application of the result, an interesting characteristic of cyclic groups is given, which asserts that a finite group G is cyclic if and only if Aut(G)/P(G) is cyclic, where P(G) is the power automorphism group of G.

유연 우주구조물의 열적 유기 진동에 관한 연구 (A Study on Thermally-Induced Vibration of Flexible Space Structures)

  • 공창덕;오경원
    • 한국항공우주학회지
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    • 제31권9호
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    • pp.46-54
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    • 2003
  • 본 연구의 목적은 유연 우주구조물이 급격한 열적 환경에 의해 발생되는 진동을 수치적인 계산과 실험을 통해 규명하는데 있다. 단순화한 유연 구조물에 대해 수치적인 접근과 지상 실험실에서 실험한 데이터를 비교 분석하였다. 분석결과 유연 구조물이 급속한 복사 열에 의해 열적 모멘트에 의한 열적 변위가 발생하고 온도의 미소한 주기적 변화로 열 유기 진동이 발생함이 밝혀졌다. 수치해석치와 실험치를 비교한 결과 끝단질량이 없는 경우, 1차 모드 진동수는 0.78Hz로 두 값이 일치하였으나, 끝단 질량이 있는 경우, 끝단 질량이 각각 8g, 16g, 50g, 100g으로 증가할 때 1차 모드의 진동수에 있어 예측치는 1.75Hz, 1.3Hz, 0.87Hz, 0.73Hz이고 실험치는 2.34Hz, 1.5Hz, 0.78Hz, 0.78Hz로 감소하는 경향을 보이며 비록 예측치가 단순화 공식을 이용함에도 불구하고 실험치에 근접하였다.

5G 응용을 위한 반원형 구조를 가진 사각형 마이크로스트립 패치 안테나 (Rectangular Microstrip Patch Antenna with Semicircular Structure for 5G Applications)

  • 김영진;자남 마하르잔;최동유
    • 한국정보통신학회논문지
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    • 제23권10호
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    • pp.1269-1274
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    • 2019
  • 본 논문에서는 5G 어플리케이션을 위한 네 개의 마이크로스트립 패치 배열 안테나를 설계 및 분석하였다. 제안한 배열 안테나는 네 개의 사각형 마이크로스트립 패치 안테나로 구성되며, 배열 안테나의 양쪽 측면에 반원형 에칭구조가 포함된다. 안테나는 시리즈 및 동일 급전 네트워크를 사용하여 공급되며, 하단의 접지면은 안테나의 주파수 특성을 개선하기 위해 변경된다. 마지막으로 안테나의 지향성 특성을 향상시키기 위해 야기-형 구조가 추가된다. 제안한 마이크로스트립 패치 배열 안테나는 21.95 ~ 31.86 GHz의 넓은 주파수 대역폭을 확보하였다. 안테나의 이득은 28 GHz대역에서 9.7 dBi의 이득을 보였으며, 제안한 주파수 대역 전반에 걸쳐 높은 이득과 높은 지향성을 유지하였다. 제안한 안테나는 낮은 프로파일과 간단한 구조로 인해 5G 어플리케이션을 위한 좋은 대안될 수 있을 것이다.