巻号一覧
34 巻 (2011)
- 3 号 p. 339-
- 2 号 p. 169-
- 1 号 p. 1-
34 巻, 2 号
選択された号の論文の10件中1～10を表示しています
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Milutin Obradović, Saminathan Ponnusamy2011 年 34 巻 2 号 p. 169-178
発行日: 2011年
公開日: 2011/07/02
ジャーナル フリーLet $\mathcal{A}$ be the class of analytic functions in the unit disk D with the normalization f(0) = f′(0) − 1 = 0. For λ > 0, denote by $\mathcal{M}$(λ) the class of functions f ∈ $\mathcal{A}$ which satisfy the condition
$$\left |z^2\left (\frac{z}{f(z)}\right )''+ f'(z)\left(\frac{z}{f(z)} \right)^{2}-1\right |\leq \lambda,\quad z\in \mathbf{D}.$$
We show that functions in $\mathcal{M}$(1) are univalent in D and we present one parameter family of functions in $\mathcal{M}$(1) that are also starlike in D. In addition to certain inclusion results, we also present characterization formula, necessary and sufficient coefficient conditions for functions in $\mathcal{M}$(λ), and a radius property of $\mathcal{M}$(1).抄録全体を表示PDF形式でダウンロード (92K) -
Erina Kinjo2011 年 34 巻 2 号 p. 179-190
発行日: 2011年
公開日: 2011/07/02
ジャーナル フリーWe consider a metric dL on the Teichmüller space T(R0) defined by the length spectrum of Riemann surfaces. H. Shiga proved that dL defines the same topology as that of the Teichmüller metric dT on T(R0) if a Riemann surface R0 can be decomposed into pairs of pants such that the lengths of all their boundary components except punctures are uniformly bounded from above and below.
In this paper, we show that there exists a Riemann surface R0 of infinite type such that R0 cannot be decomposed into such pairs of pants, whereas the two metrics define the same topology on T(R0). We also give a sufficient condition for these metrics to have different topologies on T(R0), which is a generalization of a result given by Liu-Sun-Wei.抄録全体を表示PDF形式でダウンロード (448K) -
Dinh Thanh Duc, Nguyen Du Vi Nhan2011 年 34 巻 2 号 p. 191-201
発行日: 2011年
公開日: 2011/07/02
ジャーナル フリーIn this paper we present various norm inequalities in framework Sobolev spaces by using Hölder's inequality. In particular, we imply some of the corresponding results of Saitoh whose proofs were based on Aronszajn's theory of reproducing kernels.抄録全体を表示PDF形式でダウンロード (96K) -
Ivko Dimitrić2011 年 34 巻 2 号 p. 202-243
発行日: 2011年
公開日: 2011/07/02
ジャーナル フリーWe classify Hopf hypersurfaces of non-flat complex space forms CPm(4) and CHm(−4), denoted jointly by CQm(4c), that are of 2-type in the sense of B. Y. Chen, via the embedding into a suitable (pseudo) Euclidean space of Hermitian matrices by projection operators. This complements and extends earlier classifications by Martinez and Ros (the minimal case) and Udagawa (the CMC case), who studied only hypersurfaces of CPm and assumed them to have constant mean curvature instead of being Hopf. Moreover, we rectify some claims in Udagawa's paper to give a complete classification of constant-mean-curvature-hypersurfaces of 2-type. We also derive a certain characterization of CMC Hopf hypersurfaces which are of 3-type and mass-symmetric in a naturally-defined hyperquadric containing the image of CQm(4c) via these embeddings. The classification of such hypersurfaces is done in CQ2(4c), under an additional assumption in the hyperbolic case that the mean curvature is not equal to ±2/3. In the process we show that every standard example of class B in CQm(4c) is mass-symmetric and we determine its Chen-type.抄録全体を表示PDF形式でダウンロード (286K) -
Zong-Xuan Chen2011 年 34 巻 2 号 p. 244-256
発行日: 2011年
公開日: 2011/07/02
ジャーナル フリーIn this paper, we investigate properties of finite order transcendental meromorphic solutions and rational solutions of difference Painlevé I and II equations.抄録全体を表示PDF形式でダウンロード (99K) -
Tuya Bao, Toshiaki Adachi2011 年 34 巻 2 号 p. 257-271
発行日: 2011年
公開日: 2011/07/02
ジャーナル フリーWe study trajectories for Sasakian magnetic fields which are also circles of positive geodesic curvature on geodesic spheres in a complex projective space. Investigating their extrinsic shapes we give a condition for them to be closed. By use of information on lengths of circles on a complex projective space, we give their lengths, and estimate the bottom of the length spectrum of circular trajectories.抄録全体を表示PDF形式でダウンロード (137K) -
Zhen-Rong Zhou2011 年 34 巻 2 号 p. 272-290
発行日: 2011年
公開日: 2011/07/02
ジャーナル フリーAn F-stationary map is a critical point of the F-energy with respect to variations in the domain. It is a generalization of F-harmonic maps. In [11, 10], we discuss the theorems of Liouville type and the monotonicity of F-stationary maps. In this paper, we discuss the stabilities of F-stationary maps from submanifolds of spheres and the Euclidean spaces.抄録全体を表示PDF形式でダウンロード (143K) -
Katsumi Oshima2011 年 34 巻 2 号 p. 291-300
発行日: 2011年
公開日: 2011/07/02
ジャーナル フリーWe compute the homotopy groups of the space of self maps of the 3 dimensional projective space.抄録全体を表示PDF形式でダウンロード (117K) -
Hiromasa Tanabe2011 年 34 巻 2 号 p. 301-316
発行日: 2011年
公開日: 2011/07/02
ジャーナル フリーWe investigate parallel isotropic immersions of an open submanifold of either the Cayley projective plane CayP2(α) or its noncompact dual into a real space form $\tilde{M}^n(\tilde{c})$, and give a characterization of the first standard embedding of CayP2(α) into $\tilde{M}^n(\tilde{c})$ in terms of a particular class of Frenet curves of order 2.抄録全体を表示PDF形式でダウンロード (136K) -
Tohru Gotoh2011 年 34 巻 2 号 p. 317-337
発行日: 2011年
公開日: 2011/07/02
ジャーナル フリーPDF形式でダウンロード (168K)
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