Recursos de colección
Project Euclid (Hosted at Cornell University Library) (198.174 recursos)
Kodai Mathematical Journal
Kodai Mathematical Journal
Huang, Shu Yau; Wang, Lin Feng
We classify (ρ,τ)-quasi Einstein solitons with (a,τ)-concurrent vector fields. We also give a necessary and sufficient condition for a submanifold to be a (ρ,τ)-quasi Einstein soliton in a Riemannian manifold equipped with an (a,τ)-concurrent vector field.
Huang, Shu Yau; Wang, Lin Feng
We classify (ρ,τ)-quasi Einstein solitons with (a,τ)-concurrent vector fields. We also give a necessary and sufficient condition for a submanifold to be a (ρ,τ)-quasi Einstein soliton in a Riemannian manifold equipped with an (a,τ)-concurrent vector field.
Hoshi, Yuichiro; Kinoshita, Ryo; Nakayama, Chikara
We study the Grothendieck conjecture for the moduli spaces of hyperbolic curves of genus one. A consequence of the main results is that the isomorphism class of a certain moduli space of hyperbolic curves of genus one over a sub-p-adic field is completely determined by the isomorphism class of the étale fundamental group of the moduli space over the absolute Galois group of the sub-p-adic field. We also prove related results in absolute anabelian geometry.
Hoshi, Yuichiro; Kinoshita, Ryo; Nakayama, Chikara
We study the Grothendieck conjecture for the moduli spaces of hyperbolic curves of genus one. A consequence of the main results is that the isomorphism class of a certain moduli space of hyperbolic curves of genus one over a sub-p-adic field is completely determined by the isomorphism class of the étale fundamental group of the moduli space over the absolute Galois group of the sub-p-adic field. We also prove related results in absolute anabelian geometry.
Karzhemanov, Ilya
For any prime p ≥ 5, we show that generic hypersurface X_{p} $subset$ P^{p} defined over Q admits a non-trivial rational dominant self-map of degree > 1, defined over $\overline{\mathbb{Q}}$ . A simple arithmetic application of this fact is also given.
Karzhemanov, Ilya
For any prime $p \geq 5$, we show that generic hypersurface $X_{p} \subset \mathbf{P}^{p}$ defined over $\mathbf{Q}$ admits a non-trivial rational dominant self-map of degree $> 1$, defined over ${\mathbf{\bar {Q}}}$. A simple arithmetic application of this fact is also given.
Kurokawa, Nobushige; Tanaka, Hidekazu
Kurokawa, Nobushige; Tanaka, Hidekazu
Seto, Tatsuki
In this note, we prove an index theorem on Galois coverings for Heisenberg elliptic (but not elliptic) differential operators, which is analogous to Atiyah's Γ-index theorem. This note also contains an example of Heisenberg differential operators with non-trivial Γ-index.
Seto, Tatsuki
In this note, we prove an index theorem on Galois coverings for Heisenberg elliptic (but not elliptic) differential operators, which is analogous to Atiyah's Γ-index theorem. This note also contains an example of Heisenberg differential operators with non-trivial Γ-index.
Chen, Sitong; Tang, XianHua; Li, Jianxiong
We consider the following system of coupled nonlinear Schrödinger equations
¶
$$\left\{\begin{array}{ll}-\triangle u+a(x) u=|u|^{p-2}u+\lambda(x) v, x\in \mathbb{R}^N,\\-\triangle v+b(x) v=|v|^{2^*-2}v+\lambda(x) u, x\in \mathbb{R}^N,\\u,v\in H^1(\mathbb{R}^N), \end{array}\right.$$
¶ where N ≥ 3, 2 < p < 2*, 2* = 2N/(N−2) is the Sobolev critical exponent, a, b, λ $\in$ C(R^{N}, R) $\cap$ L^{∞}(R^{N}, R) and a(x), b(x) and λ(x) are asymptotically periodic, and can be sign-changing. By using a new technique, we prove the existence of a ground state of Nehari type solution for the above system under some mild assumptions on a, b and λ. In particular, the common condition that |λ(x)| < $\sqrt{a(x)b(x)}$ for...
Chen, Sitong; Tang, XianHua; Li, Jianxiong
We consider the following system of coupled nonlinear Schrödinger equations $$\left\{ \begin{array}\\-\Delta u + a(x)u = \vert u \vert^{p-2}u + \lambda(x)v, \quad x \in \mathbf{R}^{N},\\ -\Delta v + b(x)v = \vert v \vert^{2^{*}-2}v + \lambda(x)u, \quad x \in \mathbf{R}^{N},\\ u, v \in H^{1} (\mathbf{R}^{N}), \end{array} \right.$$ where $N \geq 3, 2 \lt p \lt 2^{*}, 2^{*} = 2N / (N - 2)$ is the Sobolev critical exponent, $a, b, \lambda \in C(\mathbf{R}^{N}, \mathbf{R}) \cap L^{\infty} (\mathbf{R}^{N}, \mathbf{R})$ and $a(x)$, $b(x)$ and $\lambda(x)$ are asymptotically periodic, and can be sign-changing. By using a new technique, we prove the existence of a...
Fletcher, Alastair
In this paper, we prove that if X is a Riemann surface of infinite analytic type and [μ]_{T} is any element of Teichmüller space, then there exists μ_{1} $\in$ [μ]_{T} so that [μ_{1}]_{B} is an infinitesimal Strebel point.
Fletcher, Alastair
In this paper, we prove that if $X$ is a Riemann surface of infinite analytic type and $[\mu]_T$ is any element of Teichmüller space, then there exists $\mu _{1} \in [\mu]_{T}$ so that $[\mu_1]_{B}$ is an infinitesimal Strebel point.
Yagita, Nobuaki
Let G be an algebraic group over C corresponding a compact simply connected Lie group. When H*(G) has p-torsion, we see ρ*_{CH}: CH*(BG) → CH*(BT)^{WG(T)} is always not surjective. We also study the algebraic cobordism version ρ*_{Ω}. In particular when G = Spin(7) and p = 2, we see each Griffiths element in CH*(BG) is detected by an element in Ω*(BT).
Yagita, Nobuaki
Let G be an algebraic group over C corresponding a compact simply connected Lie group. When H*(G) has p-torsion, we see ρ*_{CH}: CH*(BG) → CH*(BT)^{WG(T)} is always not surjective. We also study the algebraic cobordism version ρ*_{Ω}. In particular when G = Spin(7) and p = 2, we see each Griffiths element in CH*(BG) is detected by an element in Ω*(BT).
Han, Yingbo; Zhang, Qianyu; Liang, Mingheng
In this paper, we obtain some vanishing and finiteness theorems for L^{p} p-harmonic 1-forms on a locally conformally flat Riemmannian manifolds which satisfies an integral pinching condition on the traceless Ricci tensor, and for which the scalar curvature satisfies pinching curvature conditions or the first eigenvalue of the Laplace-Beltrami operator of M is bounded by a suitable constant.
Han, Yingbo; Zhang, Qianyu; Liang, Mingheng
In this paper, we obtain some vanishing and finiteness theorems for L^{p} p-harmonic 1-forms on a locally conformally flat Riemmannian manifolds which satisfies an integral pinching condition on the traceless Ricci tensor, and for which the scalar curvature satisfies pinching curvature conditions or the first eigenvalue of the Laplace-Beltrami operator of M is bounded by a suitable constant.
Xia, Zhinan
In this paper, we investigate the existence, uniqueness of almost automorphic in one-dimensional distribution mild solution for semilinear stochastic differential equations driven by Lévy noise. The semigroup theory, fixed point theorem and stochastic analysis technique are the main tools in carrying out proof. Finally, we give one example to illustrate the main findings.
Xia, Zhinan
In this paper, we investigate the existence, uniqueness of almost automorphic in one-dimensional distribution mild solution for semilinear stochastic differential equations driven by Lévy noise. The semigroup theory, fixed point theorem and stochastic analysis technique are the main tools in carrying out proof. Finally, we give one example to illustrate the main findings.