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Volume 61 (2009)
- Issue 4 Pages 971-
- Issue 3 Pages 651-
- Issue 2 Pages 327-
- Issue 1 Pages 1-
Predecessor
- Proceedings of the Physico-Mathematical Society of Japan. 3rd Series
- Proceedings of the Tokyo Mathematico-Physical Society. 2nd Series
- Tokyo Sugaku-Butsurigakukwai Kiji-Gaiyo
- Tokyo Sugaku-Butsurigakkwai Hokoku
- Tokyo Sugaku-Butsurigaku Kwai Kiji
- Tokyo Sugaku-Butsurigaku Kwai Kiji
- Tokyo Sugaku Kaisya Zasshi
Volume 61, Issue 4
Displaying 1-11 of 11 articles from this issue
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Yuka NAITO, Yoshihiro SHIBATA2009 Volume 61 Issue 4 Pages 971-1011
Published: October 15, 2009
Released on J-STAGE: November 25, 2009
JOURNAL FREE ACCESSThe paper is concerned with linear thermoelastic plate equations in the half-space Rn+={x=(x1,…,xn)|xn>0}:
utt+Δ2u+Δθ=0 and θt−Δθ−Δut=0 in Rn+×(0,∞),
subject to the boundary condition: u|xn=0=Dnu|xn=0=θ|xn=0=0 and initial condition: (u,Dtu,θ)|t=0=(u0,v0,θ0)∈Hp=W2p,D×Lp×Lp, where W2p,D={u∈W2p|u|xn=0=Dnu|xn=0=0}. We show that for any p∈(1,∞), the associated semigroup {T(t)}t≥0 is analytic in the underlying space Hp. Moreover, a solution (u,θ) satisfies the estimates:
||∇j(∇2u(·,t),ut(·,t),θ(·,t))||Lq(Rn+)≤Cp,qt−\\fracj2−\\fracn2(\\frac1p−\\frac1q)||(∇2u0,v0,θ0)||Lp(Rn+) (t>0)
for j=0,1,2 provided that 1<p≤q≤∞ when j=0, 1 and that 1<p≤q<∞ when j=2, where ∇j stands for space gradient of order j.View full abstractDownload PDF (301K) -
Ming-chang KANG, Ji-ping ZHANG, Jian-yi SHI, Yung YU, Stephen S. T. YA ...2009 Volume 61 Issue 4 Pages 1013-1070
Published: July 15, 2009
Released on J-STAGE: November 25, 2009
JOURNAL FREE ACCESSA classical problem in finite group theory dating back to Jordan, Klein, E. H. Moore, Dickson, Blichfeldt etc. is to determine all finite subgroups in SL(n,C) up to conjugation for some small values of n. This question is important in group theory as well as in the study of quotient singularities. Some results of Blichfeldt when n=3,4 were generalized to the case of finite primitive subgroups of SL(5,C) and SL(7,C) by Brauer and Wales. The purpose of this article is to consider the following case. Let p be any odd prime number and G be a finite primitive subgroup of SL(p,C) containing a non-trivial monomial normal subgroup H so that H has a non-scalar diagonal matrix. We will classify all these groups G up to conjugation in SL(p,C) by exhibiting the generators of G and representing G as some group extensions. In particular, see the Appendix for a list of these subgroups when p=5 or 7.View full abstractDownload PDF (398K) -
Jiro SEKIGUCHI2009 Volume 61 Issue 4 Pages 1071-1095
Published: July 15, 2009
Released on J-STAGE: November 25, 2009
JOURNAL FREE ACCESSWe describe an approach to classification of weighted homogeneous Saito free divisors in C3. This approach is mainly based on properties of Lie algebras of vector fields tangent to reduced hypersurfaces at their non-singular points. In fact we also obtain a classification of such Lie algebras having similar properties as ones for discriminants associated with irreducible real reflection groups of rank 3. Among other things we briefly discuss some applications to the theory of discriminants of irreducible reflection groups of rank 3, some interesting relationships with root systems of types E6, E7, E8, and few examples in higher dimensional cases.View full abstractDownload PDF (193K) -
Ivan IVANŠIĆ, Leonard R. RUBIN2009 Volume 61 Issue 4 Pages 1097-1110
Published: October 15, 2009
Released on J-STAGE: November 25, 2009
JOURNAL FREE ACCESSWe prove the existence of extension dimension for a much expanded class of spaces. First we obtain several theorems which state conditions on a polyhedron or CW-complex K and a space X in order that X be an absolute co-extensor for K. Then we prove the existence of and describe a wedge representative of extension dimension for spaces in a wide class relative to polyhedra or CW-complexes. We also obtain a result on the existence of a “countable” representative of the extension dimension of a Hausdorff compactum.View full abstractDownload PDF (137K) -
Guangming XIE, Hidetoshi MARUBAYASHI2009 Volume 61 Issue 4 Pages 1111-1130
Published: July 15, 2009
Released on J-STAGE: November 25, 2009
JOURNAL FREE ACCESSLet V be a total valuation ring of a division ring K with an automorphism σ and let A=⊕i∈ZAiXi be a graded extension of V in K[X,X−1;σ], the skew Laurent polynomial ring. We classify A by distinguishing three different types based on the properties of A1 and A−1, and a complete description of Ai for all i∈Z is given in the case where A1 is not a finitely generated left Ol(A1)-ideal.View full abstractDownload PDF (187K) -
Alex DEGTYAREV2009 Volume 61 Issue 4 Pages 1131-1169
Published: October 15, 2009
Released on J-STAGE: November 25, 2009
JOURNAL FREE ACCESSWe compute the fundamental group of the complement of each irreducible sextic of weight eight or nine (in a sense, the largest groups for irreducible sextics), as well as of 169 of their derivatives (both of and not of torus type). We also give a detailed geometric description of sextics of weight eight and nine and of their moduli spaces and compute their Alexander modules; the latter are shown to be free over an appropriate ring.View full abstractDownload PDF (330K) -
Yasufumi NITTA2009 Volume 61 Issue 4 Pages 1171-1204
Published: July 15, 2009
Released on J-STAGE: November 25, 2009
JOURNAL FREE ACCESSIn this paper, we consider generalized moment maps for Hamiltonian actions on H-twisted generalized complex manifolds introduced by Lin and Tolman [15]. The main purpose of this paper is to show convexity and connectedness properties for generalized moment maps. We study Hamiltonian torus actions on compact H-twisted generalized complex manifolds and prove that all components of the generalized moment map are Bott-Morse functions. Based on this, we shall show that the generalized moment maps have a convex image and connected fibers. Furthermore, by applying the arguments of Lerman, Meinrenken, Tolman, and Woodward [13] we extend our results to the case of Hamiltonian actions of general compact Lie groups on H-twisted generalized complex orbifolds.View full abstractDownload PDF (263K) -
Takashi MATSUOKA2009 Volume 61 Issue 4 Pages 1205-1241
Published: October 15, 2009
Released on J-STAGE: November 25, 2009
JOURNAL FREE ACCESSWe compute the generalized Lefschetz number of orientation-preserving self-homeomorphisms of a compact punctured disk, using the fact that homotopy classes of these homeomorphisms can be identified with braids. This result is applied to study Nielsen-Thurston canonical homeomorphisms on a punctured disk. We determine, for a certain class of braids, the rotation number of the corresponding canonical homeomorphisms on the outer boundary circle. As a consequence of this result on the rotation number, it is shown that the canonical homeomorphisms corresponding to some braids are pseudo-Anosov with associated foliations having no interior singularities.View full abstractDownload PDF (277K) -
Nobuhiro HONDA2009 Volume 61 Issue 4 Pages 1243-1260
Published: October 15, 2009
Released on J-STAGE: November 25, 2009
JOURNAL FREE ACCESSIn this note, we explicitly construct the twistor spaces of some Joyce metrics on the connected sum of arbitrary number of complex projective planes. Unlike our former construction for the case of four complex projective planes, the present construction mainly utilizes minitwistor spaces, and partially follows the method and construction given in [5] and [6].View full abstractDownload PDF (270K) -
Ken’ichi OHSHIKA2009 Volume 61 Issue 4 Pages 1261-1291
Published: October 15, 2009
Released on J-STAGE: November 25, 2009
JOURNAL FREE ACCESSConsider a geometrically finite Kleinian group G without parabolic or elliptic elements, with its Kleinian manifold M=(H3∪ΩG)⁄G. Suppose that for each boundary component of M, either a maximal and connected measured lamination in the Masur domain or a marked conformal structure is given. In this setting, we shall prove that there is an algebraic limit Γ of quasi-conformal deformations of G such that there is a homeomorphism h from IntM to H3⁄Γ compatible with the natural isomorphism from G to Γ, the given laminations are unrealisable in H3⁄Γ, and the given conformal structures are pushed forward by h to those of H3⁄Γ. Based on this theorem and its proof, in the subsequent paper, the Bers-Thurston conjecture, saying that every finitely generated Kleinian group is an algebraic limit of quasi-conformal deformations of minimally parabolic geometrically finite group, is proved using recent solutions of Marden’s conjecture by Agol, Calegari-Gabai, and the ending lamination conjecture by Minsky collaborating with Brock, Canary and Masur.View full abstractDownload PDF (262K) -
Désirée BASILE, Jan VAN MILL, Guit-Jan RIDDERBOS2009 Volume 61 Issue 4 Pages 1293-1301
Published: October 15, 2009
Released on J-STAGE: November 25, 2009
JOURNAL FREE ACCESSGeneralizing the Ohio completeness property, we introduce the notion of κ-Ohio completeness. Although many results from a previous paper by the authors may easily be adapted for this new property, there are also some interesting differences. We provide several examples to illustrate this. We also have a consistency result; depending on the value of the cardinal d, the countable union of open and ω1-Ohio complete subspaces may or may not be ω1-Ohio complete.View full abstractDownload PDF (105K)
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