scholarly journals On the coexistence of irreducible orbits of coincidences for multivalued admissible maps on the circle via Nielsen theory

2017 ◽  
Vol 221 ◽  
pp. 596-609 ◽  
Author(s):  
Jan Andres
Keyword(s):  
Nielsen Theory ◽  
Admissible Maps

scholarly journals Nielsen theory on infra-nilmanifolds modeled on the group of uni-triangular matrices

2019 ◽  
Vol 20 (2) ◽  
pp. 483-506
Author(s):  
Younggi Choi ◽  
◽  
Jong Bum Lee ◽  
Kyung Bai Lee ◽  
◽  
...  
Keyword(s):  
Triangular Matrices ◽  
Nielsen Theory

Study on Thermal Conductivity of Polyetheretherketone/Thermally Conductive Filler Composites

2007 ◽  
Vol 124-126 ◽  
pp. 1079-1082 ◽  
Author(s):  
Sung Ryong Kim ◽  
Dae Hoon Kim ◽  
Dong Ju Kim ◽  
Min Hyung Kim ◽  
Joung Man Park
Keyword(s):  
Thermal Conductivity ◽  
Thermal Properties ◽  
Carbon Fiber ◽  
Conductive Filler ◽  
Laser Flash ◽  
Flash Method ◽  
Phase System ◽  
Two Phase ◽  
Nielsen Theory ◽  
Thermally Conductive

Thermal properties of PEEK/silicon carbide(SiC) and PEEK/carbon fiber(CF) were investigated from ambient temperature up to 200°C measured by laser flash method. Thermal conductivity was increased from 0.29W/m-K without filler up to 2.4 W/m-K with at 50 volume % SiC and 3.1W/m-K with 40 volume % carbon fiber. Values from Nielsen theory that predicts thermal conductivity of two-phase system were compared to those obtained from experiment.

Maps between p-completed classifying spaces

1989 ◽  
Vol 112 (3-4) ◽  
pp. 231-235 ◽  
Author(s):  
J. Frank Adams ◽  
Zdzisław Wojtkowiak
Keyword(s):  
Lie Groups ◽  
Classifying Spaces ◽  
Compact Lie Groups ◽  
Complete Case ◽  
Topological Map ◽  
Maximal Tori ◽  
Local Case ◽  
Admissible Maps

SynopsisLet G and G' be two connected compact Lie groups with maximal tori T and T'. For a space X, let Xp be the p-completion of X. We will associate to each topological map f:(BG)p→(BG')p an “admissible map” ϕ:π1(T)⊗zZp→π1(T′)⊗zZp. We then show that the study of “admissible maps” in the p-complete case may be reduced to their study in the p-local case.

scholarly journals GENERALIZED TWISTS AS ELASTIC ENERGY EXTREMALS ON ANNULI, QUATERNIONS AND LIFTING TWIST LOOPS TO THE SPINOR GROUPS

2013 ◽  
Vol 11 (02) ◽  
pp. 1350008 ◽  
Author(s):  
M. S. SHAHROKHI-DEHKORDI ◽  
A. TAHERI
Keyword(s):  
Elastic Energy ◽  
Lagrange Equation ◽  
Energy Functional ◽  
Double Cover ◽  
Explicit Representation ◽  
Exponential Map ◽  
Dirichlet Energy ◽  
Smooth Solutions ◽  
Low Dimensions ◽  
Admissible Maps

Let X = {x ∈ ℝn : a < |x| < b} be a generalized annulus and consider the Dirichlet energy functional [Formula: see text] over the space of admissible maps [Formula: see text] where φ is the identity map. In this paper we consider a class of maps referred to as generalized twists and examine them in connection with the Euler–Lagrange equation associated with 𝔽[⋅, X] on [Formula: see text]. The approach is novel and is based on lifting twist loops from SO(n) to its double cover Spin(n) and reformulating the equations accordingly. We restrict our attention to low dimensions and prove that for n = 4 the system admits infinitely many smooth solutions in the form of twists while for n = 3 this number sharply reduces to one. We discuss some qualitative features of these solutions in view of their remarkable explicit representation through the exponential map of Spin(n).

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