Mostrando recursos 1 - 20 de 6.229

  1. Yang-Mills connections with Weyl structure

    Park, Joon-Sik
    In this paper, we treat with an arbitrary given connection $D$ which is not necessarily \textit{metric} or \textit{torsion-free} in the tangent bundle $TM$ over an $n$-dimensional closed (compact and connected) Riemannian manifold $(M,g)$. We find the fact that if any connection $D$ with Weyl structure $(D,g,\omega)$ relative to a 1-form $\omega$ in the tangent bundle is a Yang-Mills connection, then $d\omega=0$. Moreover under the assumption $\sum_{i=1}^{n}[\alpha(e_{i}),R^{D}(e_{i},X)]=0$ $(X \in \mathfrak{X}(M))$, a necessary and sufficient condition for any connection $D$ with Weyl structure $(D,g,\omega)$ to be a Yang-Mills connection is $\delta_{\nabla}R^{D}=0$, where $\{e_{i}\}_{i=1}^{n}$ is an (locally defined) orthonormal frame on $(M,g)$ and...

  2. Global solvability of the free-boundary problem for one-dimensional motion of a self-gravitating viscous radiative and reactive gas

    Umehara, Morimichi; Tani, Atusi
    In this paper we consider a system of equations describing the one-dimensional motion of a self-gravitating, radiative and chemically reactive gas having the free-boundary. For arbitrary large, smooth initial data we prove the unique existence, global in time, of a classical solution of the corresponding problem with fixed domain, obtained by the Lagrangian mass transformation.

  3. Disconnected Julia sets of quartic polynomials and a new topology of the symbol space

    Katagata, Koh
    For a certain quartic polynomial, there exists a homeomorphism between the set of all components of the filled-in Julia set with the Hausdorff metric and some subset of the corresponding symbol space with the ordinary metric. But these sets are not compact with respect to each metric. We introduce a new topology with respect to which these sets are compact.

  4. New proofs of the trace theorem of Sobolev spaces

    Miyazaki, Yoichi
    We present three new proofs of the trace theorem of $L_{p}$ Sobolev spaces, which do not rely on the theory of interpolation spaces. The first method originates in Morrey’s proof for the Sobolev embedding theorem concerning the Hölder-Zygmund space. The second method is based on Muramatu’s integral formula and the third method is based on an integral operator with Gauss kernel. These methods give unified viewpoints for the proofs of the trace theorem and the Sobolev embedding theorem.

  5. Proper actions of $SL(2,\mathbf{C})$ on irreducible complex symmetric spaces

    Teduka, Katsuki
    We classify irreducible complex symmetric spaces that admit proper $SL(2,\mathbf{C})$-actions.$^{*}$

  6. Relative versions of theorems of Bogomolov and Sukhanov over perfect fields

    Bac, Dao Phuong; Thang, Nguyen Quoc
    In this paper, we investigate some aspects of representation theory of reductive groups over non-algebraically closed fields. Namely, we state and prove relative versions of well-known theorems of Bogomolov and of Sukhanov, which are related to observable and quasi-parabolic subgroups of linear algebraic groups over non-algebraically closed perfect fields.

  7. Corwin–Greenleaf multiplicity functions for Hermitian symmetric spaces

    Nasrin, Salma
    Kobayashi’s multiplicity-free theorem asserts that irreducible unitary highest weight representations $\pi$ are multiplicity-free when restricted to any symmetric pairs if $\pi$ is of scalar type. The Hua–Kostant–Schmid–Kobayashi branching laws embody this abstract theorem with explicit irreducible decomposition formulas of holomorphic discrete series representations with respect to symmetric pairs. In this paper, we study the ‘classical limit’ (geometry of coadjoint orbits) of a special case of these representation theoretic theorems in the spirit of the Kirillov–Kostant–Duflo orbit method. \\ First, we consider the Corwin–Greenleaf multiplicity function $n (\mathcal{O}^{G},\,\mathcal{O}^{K})$ for Hermitian symmetric spaces $G/K$. The first main theorem is that $n(\mathcal{O}^{G},\,\mathcal{O}^{K}) \le 1$...

  8. The tropical resultant

    Odagiri, Shinsuke
    The resultant of two tropical polynomials satisfies the similar properties to the resultant of two polynomials over a field.

  9. Dedekind sums in finite characteristic

    Hamahata, Yoshinori
    This paper is concerned with Dedekind sums in finite characteristic. We introduce Dedekind sums for lattices, and establish the reciprocity law for them.

  10. On $p$-class group of an $A_{n}$-extension

    Konomi, Yutaka
    Let $p$ be a prime and $L$ an $A_{n}$-extension over a number field $K$. The aim of this paper is to estimate the ratio of the $p$-class number of $L$ to the ambiguous $p$-class number of $L$ with respect to $K$.

  11. Duality of linking pairing in Arnold’s singularities

    Hikami, Kazuhiro
    As a new aspect of the Arnold strange duality among 14 unimodal singularities, we point out that there exists a duality in linking pairing on Seifert manifolds associated with singularities.

  12. Sur la structure des espaces de Riemann dont le groupe d'holonomie fixe un plan à un nombre quelconque de dimensions

    Yano, Kentaro; Sasaki, Shigeo

  13. Einige Sätze über Kinematik

    Kubota, Tadahiko

  14. Einige Ungleichheiten für die Eilinien und Eiflächen

    Kubota, Tadahiko

  15. On finite groups, whose sylow groups are all cyclic

    Honda, Kinya

  16. Sur les propriétés de la famille des courbes intégrales d'un système différentiel ordinaire

    Hukuhara, Masuo

  17. Fundamental theory of toothed gearing, VI

    Yamada, Kaneo

  18. Fundamental theory of toothed gearing, V

    Yamada, Kaneo

  19. Fundamental theory of toothed gearing, IV

    Yamada, Kaneo

  20. On the potential defined in a domain

    Kubo, Tadao

Aviso de cookies: Usamos cookies propias y de terceros para mejorar nuestros servicios, para análisis estadístico y para mostrarle publicidad. Si continua navegando consideramos que acepta su uso en los términos establecidos en la Política de cookies.