巻号一覧
31 巻 (2008)
- 3 号 p. 307-
- 2 号 p. 163-
- 1 号 p. 1-
31 巻, 3 号
選択された号の論文の9件中1～9を表示しています
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Eiichi Sato2008 年 31 巻 3 号 p. 307-322
発行日: 2008年
公開日: 2008/11/06
ジャーナル フリーPDF形式でダウンロード (146K) -
Yasuhiko Kamiyama2008 年 31 巻 3 号 p. 323-332
発行日: 2008年
公開日: 2008/11/06
ジャーナル フリーWe consider arachnoid mechanisms which are formed by concatenation of arc-length parametrized curves in R3 such that the initial point of each curve is fixed to a vertex of a convex polytope P. We prove that the configuration spaces of such arachnoid mechanisms are described in terms of the polar polytope PΔ. Using this, we determine the homotopy type of the configuration spaces when P is a tetrahedron, cube or octahedron.抄録全体を表示PDF形式でダウンロード (102K) -
Yukinobu Adachi2008 年 31 巻 3 号 p. 333-337
発行日: 2008年
公開日: 2008/11/06
ジャーナル フリーFor the manifold M := P2 - A(l) (l ≥ 4) where A(l) is an algebraic curve with l irreducible components, the notion that M is of log general type, measure hyperbolic and ΔM is a curve or empty set, where ΔM is the degeneracy locus of the Kobayashi pseudodistance dM on M, coincide with each other.抄録全体を表示PDF形式でダウンロード (71K) -
Fortuné Massamba2008 年 31 巻 3 号 p. 338-358
発行日: 2008年
公開日: 2008/11/06
ジャーナル フリーThis paper investigates totally contact umbilical lightlike hypersurfaces which are tangent to the structure vector field. Theorems on Killing distributions, geodesibility of lightlike hypersurfaces are obtained. The geometrical configuration of such lightlike hypersurfaces and its screen distributions are established. We prove the non-existence of totally contact umbilical lightlike hypersurfaces and lightlike hypersurfaces with totally contact umbilical screen distributions in indefinite Sasakian space forms under some conditions. Some characterizations of totally contact geodesic lightlike hypersurfaces and screen distributions are also given.抄録全体を表示PDF形式でダウンロード (166K) -
Yosihiko Aoto2008 年 31 巻 3 号 p. 359-384
発行日: 2008年
公開日: 2008/11/06
ジャーナル フリーA toric hyperkähler manifold is defined as a hyperkähler quotient of the flat quaternionic space HN by a subtorus of the real torus TN. The purposes of this paper are to construct compact complex submanifolds of toric hyperkähler manifolds, and to show that our hyperkähler manifold is a resolution of singularities of an affine algebro-geometric quotient. We also show that these submanifolds are biholomorphic to Delzant spaces, which are Kähler quotients of CN by subtori of TN. Finally, we apply these results to determining whether complex structures on our hyperkähler manifold are equivalent.抄録全体を表示PDF形式でダウンロード (234K) -
Masaya Yasuda2008 年 31 巻 3 号 p. 385-403
発行日: 2008年
公開日: 2008/11/06
ジャーナル フリーWe consider the torsion points of elliptic curves over certain number fields with good reduction everywhere.抄録全体を表示PDF形式でダウンロード (172K) -
Khanh Trinh Bui, Duc Quang Si, Van Tan Tran2008 年 31 巻 3 号 p. 404-413
発行日: 2008年
公開日: 2008/11/06
ジャーナル フリーThe purpose of this article is to show a uniqueness theorem for meromorphic mappings of Cm into CPn with truncated multiplicities and a small set of identity.抄録全体を表示PDF形式でダウンロード (103K) -
Dharmendra K. Gupta, Pradip K. Parida2008 年 31 巻 3 号 p. 414-430
発行日: 2008年
公開日: 2008/11/06
ジャーナル フリーThe aim of this paper is to discuss the convergence of a third order Newton-like method for solving nonlinear equations F(x) = 0 in Banach spaces by using recurrence relations. The convergence of the method is established under the assumption that the second Fréchet derivative of F being ω-continuous given by ||F″(x)-F″(y)|| ≤ ω (||x - y||), x, y ∈ Ω, where ω be a nondecreasing function on R+ and Ω any open set. This ω-continuity condition is milder than the usual Lipschitz/Hölder continuity condition. To get a priori error bounds, a family of recurrence relations based on two parameters depending on the operator F is also derived. Two numerical examples are worked out to show that the method is successful even in cases where Lipschitz/Hölder continuity condition fails but ω-continuity condition is satisfied. In comparison to the work of Wu and Zhao [15], our method is more general and leads to better results.抄録全体を表示PDF形式でダウンロード (194K) -
Yuji Sano2008 年 31 巻 3 号 p. 431-440
発行日: 2008年
公開日: 2008/11/06
ジャーナル フリーIn [9], Mabuchi extended the notion of Kähler-Einstein metrics to the case of Fano manifolds with novanishing Futaki invariant. We call them generalized Kähler-Einstein metrics. He defined the holomorphic invariant αM in terms of the extremal Kähler vector field, which is the obstruction for the existence of generalized Kähler-Einstein metrics. The purpose of this short paper is to show that the above obstruction is actually equivalent to the vanishing of the holomorphic invariant of Futaki's type defined by Futaki [4] (see also [8]). As its corollary, we can show that $¥mathbb{CP}^2¥sharp ¥overline{¥mathbb{CP}^2}$ admits generalized Kähler-Einstein metrics by the method using multiplier ideal sheaves in [6].抄録全体を表示PDF形式でダウンロード (110K)
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