Recursos de colección

Project Euclid (Hosted at Cornell University Library) (202.070 recursos)

Tsukuba Journal of Mathematics

1. Corrigendum to “On the Cartier duality of certain finite group schemes of order $p^n$, II” [Tsukuba J. Math. 37 (2) (2013) 259-269]

Amano, Michio
We correct an error of the proof of Lemma 1 in the author's paper [1]. Also a typographical error is corrected.

2. Realizations of inner automorphisms of order 4 and fixed points subgroups by them on the connected compact exceptional lie group $E_8$, Part I

Miyashita, Toshikazu
The compact simply connected Riemannian 4-symmetric spaces were classified by J. A. Jiménez as the type of Lie algebra. Needless to say, these spaces as homogeneous manifolds are of the form $G/H$, where $G$ is a connected compact simple Lie group with an automorphism $\tilde{\gamma}$ of order 4 on $G$ and $H$ is a fixed points subgroup $G^\gamma$ of $G$. In the present article, as Part I, for the connected compact exceptional Lie group $E_8$, we give the explicit form of automorphism $\tilde{\sigma}'_4$ of order 4 on $E_8$ induced by the $C$-linear transformation $\sigma'_4$ of 248-dimensional vector space $??^{C}_{8}$ and...

3. On the asymptotic behavior of Bessel-like diffusions

Shimizu, Yuuki; Nakano, Fumihiko
We derive the asymptotic behavior of the transition probability density of the Bessel-like diffusions for “dimension” $\rho = 0$.

4. Convex functions and $p$-barycenter on CAT(1)-spaces of small radii

Yokota, Takumi
We establish unique existence of $p$-barycenter of any probability measure for $p \ge 2$ on CAT(1)-spaces of small radii. In our proof, we employ Kendall's convex function on a ball of CAT(1)-spaces instead of the convexity of distance function. Various properties of $p$-barycenter on those spaces are also presented. They extend the author's previous work [Yo].

5. On the groups of isometries of simple para-Hermitian symmetric spaces

Shimokawa, Takuya; Sugimoto, Kyoji
The main purpose in this paper is to completely determine the groups of isometries of simple para-Hermitian symmetric spaces. That enables us to also determine the groups of affine transformations of these spaces, with respect to the canonical affine connections.

6. Selections and deleted symmetric products

Buhagiar, David; Gutev, Valentin
We give a very simple example of a connected second countable space $X$ whose hyperspace $[X]^{n+1}$ of unordered $(n + 1)$-tuples of points has a continuous selection, but $[X]^n$ has none. This settles an open question posed by Michael Hrušák and Ivan Martánez-Ruiz. The substantial part of the paper sheds some light on this phenomenon by showing that in the presence of connectedness this is essentially the only possible example of such spaces.

7. Periodicity of Certain Piecewise Affine Planar Maps

Akiyama, Shigeki; Brunotte, Horst; Pethö, Attila; Steiner, Wolfgang
We determine periodic and aperiodic points of certain piecewise affine maps in the Euclidean plane. Using these maps, we prove for $\lambda \in \left\{ \frac{\pm 1 \pm \sqrt{5}}{2}, \pm \sqrt{2}, \pm{\sqrt{3}} \right \}$ that all integer sequences $(a_{k})_{k \in \mathbb{Z}}$ satisfying $0 \leq a_{k-1}+\lambda a_{k} + a_{k+1} \lt 1$ are periodic.

8. On $p$-Maps and $M$-Maps

Bai, Yun-Feng; Miwa, Takuo
We introduce new notions of $p$-maps and $M$-maps, and investigate some of their basic properties, which are extensions of corresponding properties of $p$-spaces and $M$-spaces.

9. Spaces with a d-Point-Discrete Weak Base

Liu, Chuan; Lin, Shou; Ludwig, Lewis D.
In this paper $\sigma$-point-discrete weak bases are considered. Three necessary conditions that individually ensure that a space with a $\sigma$-point-discrete weak base has a s-compact-finite weak base are given. We show that $\sigma$-compact-finite weak bases are preserved by closed sequence-covering maps. It is shown that a space $X$ is metrizable if and only if $X^{\omega}$ has a $\sigma$-point-discrete weak base. Conditions are given to ensure when a paratopological group with $\sigma$-point-discrete weak base is metrizable. Several open questions are posed.

10. A Note on the Fusion of Two Vertices in a Fuzzy Graph

Ramakrishnan, P. V.; Lakshmi, T.
The concept of fuzzy sets was introduced by L. A. Zadeh in 1965. The concept of fuzzy graph was introduced by A. Rosenfeld [5] in 1975. Many of the crisp graph concepts have been extended to fuzzy graph theory. Here we define the fusion of two vertices in a fuzzy graph and investigate some properties and also give fusion algorithm for effective connectedness and for adjacency matrix.

11. Submetacompactness and Weak Submetacompactness in Countable Products, Ⅱ

Tanaka, Hidenori
In this paper, we shall discuss submetacompactness and weak submetacompactness in countable products of Čech-scattered spaces and prove the following: (1) If $\{ X_{n} : n \in \omega \}$ is a countable collection of submetacompact Čech-scattered spaces, then the product $\Prod_{n\in \omega} X_{n}$ is submetacompact. (2) If $Y$ is a hereditarily weakly submetacompact space and $\{X_{n} : n \in \omega \}$ is a countable collection of weakly submetacompact Čech-scattered spaces, then the product $Y \times \Prod_{n\in \omega}X_{n}$ is weakly submetacompact.

12. Introduction to Boundary Value Problems of Nonlinear Elastostatics

Taira, Kazuaki
This paper provides a careful and accessible exposition of an $L^p$ approach to boundary value problems of nonlinear elastostatics in the case where solutions of the linearized problem correspond faithfully to those of the nonlinear problem, that is, in the case where there is no bifurcation. We prove that if the linearized problem has unique solutions, then so does the nonlinear one, nearby. This is done by using the linear $L^p$ theory and the inverse mapping theorem. The main theorem can be applied to the Saint Venant-Kirchhoff elastic material and the Hencky-Nadai elastoplastic material in a unified theory. The approach...

13. On The Mean, Gauss, The Second Gaussian and The Second Mean Curvature of The Helicoidal Surfaces with Light-Like Axis in $\mathbb{R}^{3}$

Güler, Erhan; Vanli, Aysel Turght
In this paper, the second Gaussian and the second mean curvature of the helicoidal surfaces with light-like axis of type $IV^{+}$ is obtained in Minkowski 3-space. In addition, some relations between the mean, Gauss, the second Gaussian and the second mean curvature of the helicoidal surfaces with light-like axis of type $IV^{+}$ are given in Minkowski 3-space.

14. On Graphs Like Hypercubes

Nieminen, Juhani; Peltola, Matti; Ruotsalainen, Pasi
By defining new concepts like pseudocomplements in graphs a new class of graphs is obtained. They have very many properties in common with hypercubes and therefore they are called pseudocubes. Pseudocubes are Hasse diagram graphs (covering garphs) of finite lattices, where pseucomplements constitute a sublattice. As an application, the routing and fault tolerance properties of certain pseudocubes are determined.

15. A Condition for Algebras Associated with a Cyclic Quiver to Be Symmetric

Teshigawara, Takashi
Let $K$ be a field, $f(x)$ a monic polynomial in $K[x]$ and $KG$ the path algebra of a cyclic quiver $G$ with $s$ vertices and $s$ arrows. In this paper, we give a necessary and sufficient condition for the algebra $K\Gamma/(f(X))$ to be a symmetric algebra, where $X$ is the sum of all arrows in $K\Gamma$.

16. A Matsumoto-Type Theorem For Linear Groups Over Some Completed Quantum Tori

Sakaguchi, Hideyuki; Yoshida, Katsuaki

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