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Volume 52 (2000)
- Issue 4 Pages 699-
- Issue 3 Pages 485-
- Issue 2 Pages 231-
- 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 52, Issue 4
Displaying 1-13 of 13 articles from this issue
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Koichi NAGANO2000Volume 52Issue 4 Pages 699-723
Published: 2000
Released on J-STAGE: January 23, 2007
JOURNAL FREE ACCESSWe classify locally compact, geodesically complete, 2-dimensional Hadamard spaces whose Tits ideal boundaries have the minimal diameter π. Furthermore, we classify the universal covering spaces of certain 2-dimensional nonpositively curved spaces, which is an extension of the result obtained in the polyhedral case by W. Ballmann, M. Brin, and S. Barré.View full abstractDownload PDF (239K) -
Mike BOYLE, Alejandro MAASS2000Volume 52Issue 4 Pages 725-740
Published: 2000
Released on J-STAGE: January 23, 2007
JOURNAL FREE ACCESSWe study expansive invertible onesided cellular automata (i.e., expansive automorphisms of onesided full shiftσ) and find severe dynamical and arithmetic constraints which provide partial answers to questions raised by M. Nasu [{N2}]. We employ the images and bilateral dimension groups, measure multipliers, and constructive combinatorial characterizations for two classes of cellular automata.View full abstractDownload PDF (158K) -
An analysis of the nonlinear equation of motion of a vibrating membrane in the space of BV functionsDedicated to Professor Kiyoshi Mochizuki on his sixtieth birthdayKoji KIKUCHI2000Volume 52Issue 4 Pages 741-766
Published: 2000
Released on J-STAGE: January 23, 2007
JOURNAL FREE ACCESSIn this article the nonlinear equation of motion of vibrating membrane utt-div{√{1+|∇ u|2}-1∇ u}=0 is discussed in the space of functions having bounded variation. Approximate solutions are constructed in Rothe's method. It is proved that a subsequence of them converges to a function u and that, if u satisfies the energy conservation law, then it is a weak solution in the space of functions having bounded variation. The main tool is varifold convergence.View full abstractDownload PDF (218K) -
Dedicated to Professor Daisuke Fujiwara on his sixtieth birthdaySunao OUCHI2000Volume 52Issue 4 Pages 767-792
Published: 2000
Released on J-STAGE: January 23, 2007
JOURNAL FREE ACCESSConsider a linear partial differential equation in Cd+1 P(z, ∂)u(z)=f(z), where u(z) and f(z) admit singularities on the surface {z0=0}. We assume that |f(z)|≤ A|z0|c in some sectorial region with respect to z0. We can give an exponent γ*>0 for each operator P(z, ∂) and show for those satisfying some conditions that if ∀ε>0∃ Cε such that |u(z)|≤ Cεexp(ε|z0|^{-γ*}) in the sectorial region, then |u(z)|≤ C|z0|^{c^{'}} for some constants c^{'} and C.View full abstractDownload PDF (227K) -
Hideo KOJIMA2000Volume 52Issue 4 Pages 793-806
Published: 2000
Released on J-STAGE: January 23, 2007
JOURNAL FREE ACCESSWe prove that logarithmic geometric genus of a complement of plane curve with logarithmic Kodaira dimension zero is equal to one.View full abstractDownload PDF (177K) -
Takehiko YAMANOUCHI2000Volume 52Issue 4 Pages 807-834
Published: 2000
Released on J-STAGE: January 23, 2007
JOURNAL FREE ACCESSWe introduce a notion of double group construction within the category of quasi Woronowicz algebras which are regarded as quantum groups in the von Neumann algebra framework. We show that the quantum double in this setting is always unimodular. The Kac-Takesaki operator of the double group is explicitly described. It is also proven that the dual of the quantum double has a quasitriangular structure.View full abstractDownload PDF (219K) -
Katsuro SAKAI2000Volume 52Issue 4 Pages 835-846
Published: 2000
Released on J-STAGE: January 23, 2007
JOURNAL FREE ACCESSIn this paper, considering the problem when the completion of a metric ANR X is an ANR and X is homotopy dense in the completion, we give some sufficient conditions. It is also shown that each uniform ANR is homotopy dense in any metric space containing X isometrically as a dense subset, and that a metric space X is a uniform ANR if and only if the metric completion of X is a uniform ANR with X a homotopy dense subset. Furthermore, introducing the notions of densely (local) hyper-connectedness and uniformly (local) hyper-connectedness, we characterize of AR's (ANR's) and uniform AR's (uniform ANR's), respectively.View full abstractDownload PDF (123K) -
Victor NISTOR2000Volume 52Issue 4 Pages 847-868
Published: 2000
Released on J-STAGE: January 23, 2007
JOURNAL FREE ACCESSWe show that a Lie algebroid on a stratified manifold is integrable if, and only if, its restriction to each strata is integrable. These results allow us to construct a large class of algebras of pseudodifferential operators. They are also relevant for the definition of the graph of certain singular foliations of manifolds with corners and the construction of natural algebras of pseudodifferential operators on a given complex algebraic variety.View full abstractDownload PDF (180K) -
Dedicated to the memory of Professor Katsuo KawakuboToshiyuki AKITA2000Volume 52Issue 4 Pages 869-875
Published: 2000
Released on J-STAGE: January 23, 2007
JOURNAL FREE ACCESSWe investigate the cohomology of a group having finite virtual cohomological dimension in terms of the contributions from finite subgroups. As a result, we prove a variant of Quillen's F-isomorphism theorem which remains valid for an arbitrary commutative ring of coefficients and for suitable families of finite subgroups.View full abstractDownload PDF (85K) -
Reiko AIYAMA, Kazuo AKUTAGAWA2000Volume 52Issue 4 Pages 877-898
Published: 2000
Released on J-STAGE: January 23, 2007
JOURNAL FREE ACCESSOur primary object of this paper is to give a representation formula for surfaces with prescribed mean curvature in the hyperbolic 3-space of curvature -1 in terms of their normal Gauss maps. For CMC (constant mean curvature) surfaces, we derive another representation formula in terms of their adjusted Gauss maps. These formulas are hyperbolic versions of the Kenmotsu representation formula for surfaces in the Euclidean 3-space. As an application, we give a construction of complete simply connected CMC H (|H|<1) surfaces embedded in the hyperbolic 3-space.View full abstractDownload PDF (269K) -
Wlodzimierz ZWONEK2000Volume 52Issue 4 Pages 899-914
Published: 2000
Released on J-STAGE: January 23, 2007
JOURNAL FREE ACCESSSome regularity properties of the Azukawa pseudometric for a wide class of domains (including bounded hyperconvex domains) are proven. Among others we prove that in this class of domains the Azukawa metric is continuous and the upper limit in its definition may be replaced with the limit. Some properties of the pluricomplex Green function with one (as well as with many) pole are also given.View full abstractDownload PDF (138K) -
To the memory of Professor Pan Cheng DongShigeru KANEMITSU, Takako KUZUMAKI, Masami YOSHIMOTO2000Volume 52Issue 4 Pages 915-947
Published: 2000
Released on J-STAGE: January 23, 2007
JOURNAL FREE ACCESSLet Fx denote the Farey series of order [x], i.e. the increasing sequence of irreducible fractions ρv∈(0, 1] whose denominators do not exceed x. We shall obtain precise asymptotic formulae for the sum \displaystyle ∑_{v=1}¶hi(x)ρvZ for complex z and related sums, ¶hi(x)=\# Fx coinciding the summatory function of Euler's function. In particular, we shall prove an asymptotic formula for \displaystyle ∑ρv-1 with as good an estimate as for the prime number theorem by extracting an intermediate error term occurring in the asymptotic formula for ¶hi(x).View full abstractDownload PDF (212K) -
Andrzej KOZLOWSKI, Kohhei YAMAGUCHI2000Volume 52Issue 4 Pages 949-959
Published: 2000
Released on J-STAGE: January 23, 2007
JOURNAL FREE ACCESSIn this paper, we classify the homotopy types of spaces of monic polynomials which have no n-fold real roots or spaces of n-tuples of monic polynomials which have no common real roots, by using the“scanning method”([{9}]) and Vassiliev's spectral sequence ([{15}], [{16}]). In particular, we show that such spaces are finite dimensional models for the infinite dimensional loop space of spheres.View full abstractDownload PDF (111K)
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