• Title/Summary/Keyword: Principal bundle

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ON THE HOMOLOGY OF THE MODULI SPACE OF $G_2$ INSTANTONS

  • Park, Young-Gi
    • Communications of the Korean Mathematical Society
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    • v.9 no.4
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    • pp.933-944
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    • 1994
  • Let $\pi : P \to S^4$ be a principal G-bundle over $S^4$ whose the structure group G is a compact, connected, simple Lie group. Since $\pi_3(G) = \pi_4 (BG) = Z$, we can classify the principal bundle $P_k$ over $S^4$ by the map $S^4 \to BG$ of degree k. Atiyah and Jones [2] showed that $C_k = A_k/g^b_k$ is homotopy equivalent to $\Omega^3_k G \simeq \Omega^4_k BG$ where $A_k$ is the space of the all connections in $P_k$ and $g^b_k$ is the based gauge group which consists of all base point preserving automorphisms on $P_k$. Here $\Omega^nX$ is the space of all base-point preserving continuous map from $S^n$ to X. Let $M_k$ be the space of based gauge equivalence classes of all connections in $P_k$ satisfying the Yang-Mills self-duality equations, which we call the moduli space of G instantons.

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TORSION TENSOR FORMS ON INDUCED BUNDLES

  • Kim, Hyun Woong;Park, Joon-Sik;Pyo, Yong-Soo
    • Journal of the Chungcheong Mathematical Society
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    • v.26 no.4
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    • pp.793-798
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    • 2013
  • Let ${\phi}$ be a map of a manifold M into another manifold N, L(N) the bundle of all linear frames over N, and ${\phi}^{-1}$(L(N)) the bundle over M which is induced from ${\phi}$ and L(N). Then, we construct a structure equation for the torsion form in ${\phi}^{-1}$(L(N)) which is induced from a torsion form in L(N).

GOTTLIEB GROUPS ON LENS SPACES

  • Pak, J.;Woo, Moo-Ha
    • Bulletin of the Korean Mathematical Society
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    • v.36 no.3
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    • pp.621-627
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    • 1999
  • In this paper we compute Gottlieb groups for generalized lens spaces. Then we apply this result to compute Gottlieb groups for total spaces of a principal torus bundle over a lens space.

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DIAMETRAL CREEP PREDICTION OF THE PRESSURE TUBES IN CANDU REACTORS USING A BUNDLE POSITION-WISE LINEAR MODEL

  • Lee, Sung-Han;Kim, Dong-Su;Lee, Sim-Won;No, Young-Gyu;Na, Man-Gyun;Lee, Jae-Yong;Kim, Dong-Hoon;Jang, Chang-Heui
    • Nuclear Engineering and Technology
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    • v.43 no.3
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    • pp.301-308
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    • 2011
  • The diametral creep of pressure tubes (PTs) in CANDU (CANada Deuterium Uranium) reactors is one of the principal aging mechanisms governing the heat transfer and hydraulic degradation of the heat transport system (HTS). PT diametral creep leads to diametral expansion, which affects the thermal hydraulic characteristics of the coolant channels and the critical heat flux (CHF). The CHF is a major parameter determining the critical channel power (CCP), which is used in the trip setpoint calculations of regional overpower protection (ROP) systems. Therefore, it is essential to predict PT diametral creep in CANDU reactors. PT diametral creep is caused mainly by fast neutron irradiation, temperature and applied stress. The objective of this study was to develop a bundle position-wise linear model (BPLM) to predict PT diametral creep employing previously measured PT diameters and HTS operating conditions. The linear model was optimized using a genetic algorithm and was devised based on a bundle position because it is expected that each bundle position in a PT channel has inherent characteristics. The proposed BPLM for predicting PT diametral creep was confirmed using the operating data of the Wolsung nuclear power plant in Korea. The linear model was able to predict PT diametral creep accurately.

A Study on the Implementation of an Integrated Digital Photogrammetric System

  • Lee, Sulk-Kun
    • Korean Journal of Geomatics
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    • v.4 no.1
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    • pp.9-16
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    • 2004
  • An object-oriented design was carried out for the digital photogrammetric processes. Classes were identified and implemented to develop an integrated digital photogrammetry system using a 3 dimensional self-calibration model for CCD cameras. This integrated system is deemed to be a significant progress from the conventional photogrammetric system which is a series of discrete processes. Object oriented methodology was selected for the implementation of the integrated photogrammetric system because it would be a very complex task to get the same result using a procedural programming language. Besides the simplification of development effort, object oriented methodology has further benefits of better management of program in case when updates to parts of the program are necessary. Using the classes designed in this study, a 3 dimensional self-calibration model was developed for a CCD camera. Classes for data input and image handling as well as classes for bundle adjustment were implemented. The bundle adjustment system was further enhanced with member functions to handle additional parameters for principal point coordinates and focal length, thereby, enabling the application to non-metric CCD cameras.

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Technical and Economic Evaluations of CANDU Advanced Fuel Bundle Designs (CANDU 개량 핵연료 설계 방안 분석)

  • Seok, Ho-Chun;Hwang, Wan;Park, Ju-Hwan;Kim, Bong-Gu;Sim, Ki-Sub;Jung, Chang-Jun;Heo, Y.H.;Jun, J.S.
    • Nuclear Engineering and Technology
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    • v.22 no.4
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    • pp.389-409
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    • 1990
  • As a principal design of advanced CANDU fuel bundle, CANDU-KF39, CANDU-KF40 and CANDU-KF43 fuel bundles were proposed and evaluated with respect to the operating conditions of the CANDU-6 reactor of Wolsung Unit-1. From the results, the advanced fuel bundles show to be improved economical and technical benefits compared with the current 37-element bundle. Especially, it was appeared that the KF-39 fuel bundle has more benefits of the safety, technical and economical aspects of Wolsung Unit-1 rather than those of the KF-40 and KF-43 fuel bundles.

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A NOTE ON G-VECTOR BUNDLES

  • KIM, YANG-KON
    • Honam Mathematical Journal
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    • v.2 no.1
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    • pp.37-44
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    • 1980
  • 우리는 먼저 Principal G-bundle와 성질을 살피고 representation of G over C를 irreducible CG-space의 direct sum으로 표시하여 Schur's Lemma를 이용하면 E가 임의의 CG-space, ${\sigma}E=Hom_c(E{\sigma},E)$라 할 때 ${\oplus}_{\sigma}(E_{\sigma}{\otimes}{\sigma}E){\rightarrow}E$ 가 G-ismorphism이 됨을 알아본다. 본 논문의 목적은 이러한 결과를 이용하여 K(X)와 $K_G(X)$의 관계를 구명하는데 있다.

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Comparison of ecophysiological and leaf anatomical traits of native and invasive plant species

  • Rindyastuti, Ridesti;Hapsari, Lia;Byun, Chaeho
    • Journal of Ecology and Environment
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    • v.45 no.1
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    • pp.24-39
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    • 2021
  • Background: To address the lack of evidence supporting invasion by three invasive plant species (Imperata cylindrica, Lantana camara, and Chromolaena odorata) in tropical ecosystems, we compared the ecophysiological and leaf anatomical traits of these three invasive alien species with those of species native to Sempu Island, Indonesia. Data on four plant traits were obtained from the TRY Plant Trait Database, and leaf anatomical traits were measured using transverse leaf sections. Results: Two ecophysiological traits including specific leaf area (SLA) and seed dry weight showed significant association with plant invasion in the Sempu Island Nature Reserve. Invasive species showed higher SLA and lower seed dry weight than non-invasive species. Moreover, invasive species showed superior leaf anatomical traits including sclerenchymatous tissue thickness, vascular bundle area, chlorophyll content, and bundle sheath area. Principal component analysis (PCA) showed that leaf anatomical traits strongly influenced with cumulative variances (100% in grass and 88.92% in shrubs), where I. cylindrica and C. odorata outperformed non-invasive species in these traits. Conclusions: These data suggest that the traits studied are important for plant invasiveness since ecophysiological traits influence of light capture, plant growth, and reproduction while leaf anatomical traits affect herbivory, photosynthetic assimilate transport, and photosynthetic activity.

Existence of subpolynomial algebras in $H^*(BG,Z/p)$

  • Lee, Hyang-Sook;Shin, Dong-Sun
    • Bulletin of the Korean Mathematical Society
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    • v.34 no.1
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    • pp.1-8
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    • 1997
  • Let G be a finiteg oroup. We denote BG a classifying space of G, which a contractible universal principal G bundle EG. The stable type of BG does not determine G up to isomorphism. A simple example [due to N. Minami]is given by $Q_{4p} \times Z/2$ and $D_{2p} \times Z/4$ where ps is an odd prime, $Q_{4p} is the generalized quarternion group of order 4p and $D_{2p}$ is the dihedral group of order 2p. However the paper [6] gives us a necessary and sufficient condition for $BG_1$ and $BG_2$ to be stably equivalent localized et pp. The local stable type of BG depends on the conjegacy classes of homomorphisms from the p-groups Q into G. This classification theorem simplifies if G has a normal sylow p-subgroup. Then the stable homotopy type depends on the Weyl group of the sylow p-subgroup.

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