## Recursos de colección

#### Project Euclid (Hosted at Cornell University Library) (192.979 recursos)

Hokkaido Mathematical Journal

1. #### Local symmetry on almost Kenmotsu three-manifolds

CHO, Jong Taek
We prove that a locally symmetric almost Kenmotsu three-manifold is locally isometric to either the hyperbolic space $\mathrm{\Bbb{H}^3(-1)}$ or a product space $\Bbb{H}^2(-4)\times \Bbb{R}$.

2. #### A Note on Vertex-transitive K\"ahler graphs

In this paper we construct finite vertex-transitive K\"ahler graphs, which may be considered as discrete models of Hermitian symmetric spaces admitting K\"ahler magnetic fields. We give a condition on cardinality of the set of vertices and the principal and the auxiliary degrees for a vertex-transitive K\"ahler graphs. Also we give some examples of K\"ahler graphs corresponding typical vertex-transitive ordinary graphs.

3. #### The metric growth of the discrete Laplacian

KURATA, Hisayasu; YAMASAKI, Maretsugu
Networks play important roles in the theory of discrete potentials. Especially, the theory of Dirichlet spaces on networks has become one of the most important tools for the study of potentials on networks. In this paper, first we study some relations between the Dirichlet sums of a function and of its Laplacian. We introduce some conditions to investigate properties of several functional spaces related to Dirichlet potentials and to biharmonic functions. Our goal is to study the growth of the Laplacian related to biharmonic functions on an infinite network. As an application, we prove a Riesz Decomposition theorem for Dirichlet...

4. #### Curve diagrams for Artin groups of type B

ITO, Tetsuya
We develop a theory of curve diagrams for Artin groups of type $B$. We define the winding number labeling and the wall crossing labeling of curve diagrams, and show that these labelings detect the classical and the dual Garside length, respectively. A remarkable point is that our argument does not require Garside theory machinery like normal forms, and is more geometric in nature.

5. #### Screen Semi-Slant Lightlike Submanifolds of Indefinite Sasakian Manifolds

In this paper, we introduce the notion of screen semi-slant lightlike submanifolds of indefinite Sasakian manifolds giving characterization theorem with some non-trivial examples of such submanifolds. Integrability conditions of distributions D1, D2 and RadTM on screen semi-slant lightlike submanifolds of indefinite Sasakian manifolds have been obtained. Further we obtain necessary and sufficient conditions for foliations determined by above distributions to be totally geodesic. We also study mixed geodesic screen semi-slant lightlike submanifolds of indefinite Sasakian manifolds and obtain a necessary and sufficient condition for induced connection to be metric connection.

6. #### A New Characterization of Some Simple Groups by Order and Degree Pattern of Solvable Graph

AKBARI, B.; IIYORI, N.; MOGHADDAMFAR, A. R.

13. #### Removable sets for subcaloric functions and solutions of semilinear heat equations with absorption

HIRATA, Kentaro
We investigate removable sets for subcaloric functions satisfying either a growth condition or an integrability condition by defining suitably upper Minkowski content with respect to the parabolic distance. Results are also applied to obtain removability theorems for nonnegative solutions of a semilinear heat equation with an absorption term.

14. #### Integral Homology of the Moduli Space of Tropical Curves of Genus 1 with Marked Points

LIU, Ye
Kozlov has studied the topological properties of the moduli space of tropical curves of genus 1 with marked points, such as its mod 2 homology, while the integral homology remained a conjecture. In this paper, we present a complete proof of Kozlov's conjecture concerning the integral homology of this moduli space.

15. #### Low energy spectral and scattering theory for relativistic Schroedinger operators

RICHARD, Serge; UMEDA, Tomio
Spectral and scattering theory at low energy for the relativistic Schr\"odinger operator are investigated. Some striking properties at thresholds of this operator are exhibited, as for example the absence of 0-energy resonance. Low energy behavior of the wave operators and of the scattering operator are studied, and stationary expressions in terms of generalized eigenfunctions are proved for the former operators. Under slightly stronger conditions on the perturbation the absolute continuity of the spectrum on the positive semi axis is demonstrated. Finally, an explicit formula for the action of the free evolution group is derived. Such a formula, which is well...

16. #### On the global existence and asymptotic behavior of solutions of reaction-diffusion equations

MASUDA, Kyûya

17. #### On the distribution of the poles of the scattering matrix for two strictly convex obstacles

IKAWA, Mitsuru

18. #### Weierstrass's function and chaos

YAMAGUTI, Masaya; HATA, Masayoshi

19. #### The Euler limit and initial layer of the nonlinear Boltzmann equation

UKAI, Seiji; ASANO, Kiyoshi

20. #### On the hyperbolicity in the domain of real analytic functions and Gevrey classes

MIZOHATA, Sigeru

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