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Volume 55 (2003)
- Issue 4 Pages 855-
- Issue 3 Pages 565-
- Issue 2 Pages 289-
- 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 55, Issue 1
Displaying 1-17 of 17 articles from this issue
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Toshihiko MASUDA2003 Volume 55 Issue 1 Pages 1-11
Published: 2003
Released on J-STAGE: December 25, 2008
JOURNAL FREE ACCESSWe construct approximately inner actions of discrete amenable groups on strongly amenable subfactors of type II1 with given invariants, and obtain classi-fication results under some conditions. We also study the lifting of the relative Χ group.View full abstractDownload PDF (109K) -
Suely DRUCK, Sebastião FIRMO2003 Volume 55 Issue 1 Pages 13-37
Published: 2003
Released on J-STAGE: December 25, 2008
JOURNAL FREE ACCESSWe consider the group of diffeomorphisms of a compact manifold M which preserve a codimension one foliation \mathscr{F} on M. For the C2 case if \mathscr{F} has compact leaves with nontrivial holonomy then at least one of these leaves is periodic. Our main result is proved in the context of diffeomorphisms which preserve commutative actions of finitely generated groups on [0, 1]. Applying this result to foliations almost without holonomy we prove the periodicity of all compact leaves with nontrivial holonomy. We also study the codimension one foliation preserving diffeomorphisms that are C2 close to the identity.View full abstractDownload PDF (268K) -
Shigenori MATSUMOTO2003 Volume 55 Issue 1 Pages 39-46
Published: 2003
Released on J-STAGE: December 25, 2008
JOURNAL FREE ACCESSWe show that a so called split Anosov \bm{R}n-action on a closed oriented (2n+1)-dimensional manifold is C∞ conjugate to the suspension of a split hyperbolic affine representation of \bm{Z}n on the (n+1)-dimensional torus.View full abstractDownload PDF (86K) -
Arthur W. APTER2003 Volume 55 Issue 1 Pages 47-58
Published: 2003
Released on J-STAGE: December 25, 2008
JOURNAL FREE ACCESSWe construct a model in which the least strongly compact cardinal κ is also the least strong cardinal, κ isn't 2κ supercompact, and for any δ<κ, if δ+α is regular, δ is δ+α strongly compact if and only if δ is δ+α+1 strong.View full abstractDownload PDF (126K) -
Setsuo TANIGUCHI2003 Volume 55 Issue 1 Pages 59-79
Published: 2003
Released on J-STAGE: December 25, 2008
JOURNAL FREE ACCESSAn exponential decay of a stochastic oscillatory integral with phase function determined as a stochastic line integral of a 1-form is studied. A sufficient condition for such an integral to decay exponentially fast is given in terms of the exterior derivative of the 1-form, i.e., the magnetic field.View full abstractDownload PDF (182K) -
Yumiko ICHIHARA2003 Volume 55 Issue 1 Pages 81-100
Published: 2003
Released on J-STAGE: December 25, 2008
JOURNAL FREE ACCESSRankin obtained the asymptotic formula for the sum of coefficients of Rankin-Selberg L-series associated with a cusp form and a trivial character. Ivi'c-Matsumoto-Tanigawa studied the error term in it by using a mean value formula which is yielded from the Voronoï formula of the Riesz mean. In this paper, we consider more general Rankin-Selberg L-series. It is associated with two cusp forms and a non-trivial character mod d. Ivi'c-Matsumoto-Tanigawa's method cannot be applied directly to our case. We consider the sum of coefficients of twisted Rankin-Selberg L-series by a modification of their method.View full abstractDownload PDF (160K) -
Constant prediction and dominating realsJörg BRENDLE2003 Volume 55 Issue 1 Pages 101-115
Published: 2003
Released on J-STAGE: December 25, 2008
JOURNAL FREE ACCESSWe prove that \mathfrak{b}≤ \mathfrak{v}2const where \mathfrak{b} is as usual the unbounding number, and \mathfrak{v}2const is the constant prediction number, that is, the size of the least family Π of functions π:2<omega→ 2 such that for each x∈ 2omega there are π∈Π and k such that for almost all intervals I of length k, one has π(x↑ i)=x(i) for some i∈ I. This answers a question of Kamo. We also include some related results.View full abstractDownload PDF (155K) -
Takayuki MORIFUJI2003 Volume 55 Issue 1 Pages 117-129
Published: 2003
Released on J-STAGE: December 25, 2008
JOURNAL FREE ACCESSIn this paper, we consider Meyer's function of hyperelliptic mapping class groups of orientable closed surfaces and give certain explicit formulae for it. Moreover we study geometric aspects of Meyer's function, and relate it to the η- invariant of the signature operator and Morita's homomorphism, which is the core of the Casson invariant of integral homology 3-spheres.View full abstractDownload PDF (118K) -
Takashi SANO2003 Volume 55 Issue 1 Pages 131-142
Published: 2003
Released on J-STAGE: December 25, 2008
JOURNAL FREE ACCESSIn the Jones Index theory, Longo's sector theory has been a powerful approach to the analysis for inclusions of factors and canonical endomorphisms have played an important role. In this paper, two topics on commuting canonical endomorphisms are studied: For a composition of two irreducible inclusions of depth 2 factors, the commutativity of corresponding canonical endomorphisms is shown to be the condition for the ambient irreducible inclusion to be of depth 2, that is, to give a finite dimensional Kac algebra. And an equivalent relation between the commuting co-commuting square condition and the existence of two simultaneous commuting canonical endomorphisms is discussed.View full abstractDownload PDF (106K) -
Paltin IONESCU, Cristian VOICA2003 Volume 55 Issue 1 Pages 143-164
Published: 2003
Released on J-STAGE: December 25, 2008
JOURNAL FREE ACCESSWe study rationally connected (projective) manifolds X via the concept of a model (X, Y), where Y is a smooth rational curve on X having ample normal bundle. Models are regarded from the view point of Zariski equivalence, birational on X and biregular around Y. Several numerical invariants of these objects are introduced and a notion of minimality is proposed for them. The important special case of models Zariski equivalent to (\bm{P}n, line) is investigated more thoroughly. When the (ample) normal bundle of Y in X has minimal degree, new such models are constructed via special vector bundles on X. Moreover, the formal geometry of the embedding of Y in X is analysed for some non-trivial examples.View full abstractDownload PDF (173K) -
Kenji KOIKE2003 Volume 55 Issue 1 Pages 165-196
Published: 2003
Released on J-STAGE: December 25, 2008
JOURNAL FREE ACCESSIn this article we study the inverse of the period map for the family \mathscr{F} of complex algebraic curves of genus 6 equipped with an automorphism of order 5 having 5 fixed points. This is a family with 2 parameters, and is fibred over a Del Pezzo surface. Our period map is essentially same as the Schwarz map for the Appell hypergeometric differential equation F1(3/5, 3/5, 2/5, 6/5). This differential equation and the family \mathscr{F} are studied by G. Shimura (1964), T. Terada (1983, 1985), P. Deligne and G. D. Mostow (1986) and T. Yamazaki and M. Yoshida (1984). Based on their results we give a representation of the inverse of the period map in terms of Riemann theta constants. This is the first variant of the work of H. Shiga (1981) and K. Matsumoto (1989, 2000) to the co-compact case.View full abstractDownload PDF (438K) -
Mitsuru UCHIYAMA2003 Volume 55 Issue 1 Pages 197-207
Published: 2003
Released on J-STAGE: December 25, 2008
JOURNAL FREE ACCESSLet {ψr}r>0 and {φr}r>0 be the families of operator monotone functions on [0, ∞) satisfying ψr(xrg(x))/xr, φr(xrg(x))/xrh(x), where g and h are continuous and g is increasing. Suppose σ_{ψa} and σ_{φr} are the corresponding operator connections. We will show that if Aaσ_{ψa}B≥q 1 (a>0), then Arσ_{ψr}B and Aσ_{φr}B are both increasing for r≥q a, and then we will apply this to the geometric operator means to get a simple assertion from which many operator inequalities follow.View full abstractDownload PDF (102K) -
Yong DING, Chin-Cheng LIN2003 Volume 55 Issue 1 Pages 209-230
Published: 2003
Released on J-STAGE: December 25, 2008
JOURNAL FREE ACCESSIn this paper we prove that the maximal operator MΩ, the singular integral operator TΩ, and the maximal singular integral operator TΩ* with rough kernels are all bounded operators from Lp(v) to Lp(u) for the weight functions pair (u, v). Here the kernel function Ω satisfies a size condition only; that is, Ω∈ Lq(Sn-1), q>1, but has no smoothness on Sn-1.View full abstractDownload PDF (185K) -
Dedicated to Professor Takashi Sakai on the occasion of his sixtieth birthdayMinoru TANAKA2003 Volume 55 Issue 1 Pages 231-241
Published: 2003
Released on J-STAGE: December 25, 2008
JOURNAL FREE ACCESSWe give a necessary and sufficient condition for a given point on the unit normal bundle of a closed submanifold N of a 2-dimensional complete Riemannian manifold M to be a differentiable point of the distance function to the cut locus of N.View full abstractDownload PDF (108K) -
Hajime ONO2003 Volume 55 Issue 1 Pages 243-254
Published: 2003
Released on J-STAGE: December 25, 2008
JOURNAL FREE ACCESSLet G be a compact semisimple Lie group, \mathfrak{g} its Lie algebra, (, ) an AdG-invariant inner product on \mathfrak{g}, and M an adjoint orbit in \mathfrak{g}. In this article, if (M, (, )|M) is Kähler with respect to its canonical complex structure, then we give, for a closed minimal Lagrangian submanifold L⊂ M, upper bounds on the first positive eigenvalue λ1(L) of the Laplacian ΔL, which acts on C∞(L), and lower bounds on the volume of L. In particular, when (M, (, )|M) is Kähler-Einstein, ( ρ=comega, where ρ and ω are Ricci form and Kähler form of (M, (, )|M) with respect to the canonical complex structure respectively, and c is a positive constant, ) we prove λ1(L)≤ c. Combining with a result of Oh [{5}], we can see that L is Hamiltonian stable if and only if λ1(L)=c.View full abstractDownload PDF (111K) -
Dedicated to Professor Michiaki Watanabe in celebration of his having been honoured as an Emeritus Professor of Niigata UniversityMuneo CHO, Tadasi HURUYA2003 Volume 55 Issue 1 Pages 255-268
Published: 2003
Released on J-STAGE: December 25, 2008
JOURNAL FREE ACCESSThe purpose of this paper is to introduce mosaics of log-hyponormal operators and give a Helton-Howe type trace formula.View full abstractDownload PDF (117K) -
To the memory of Katsuo KawakuboTatsuo SUWA2003 Volume 55 Issue 1 Pages 269-287
Published: 2003
Released on J-STAGE: December 25, 2008
JOURNAL FREE ACCESSIf we have a finite number of sections of a complex vector bundle E over a manifold M, certain Chern classes of E are localized at the singular set S, i.e., the set of points where the sections fail to be linearly independent. When S is compact, the localizations define the residues at each connected component of S by the Alexander duality. If M itself is compact, the sum of the residues is equal to the Poincaré dual of the corresponding Chern class. This type of theory is also developed for vector bundles over a possibly singular subvariety in a complex manifold. Explicit formulas for the residues at an isolated singular point are also given, which express the residues in terms of Grothendieck residues relative to the subvariety.View full abstractDownload PDF (176K)
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