## Recursos de colección

#### Project Euclid (Hosted at Cornell University Library) (202.106 recursos)

Kodai Mathematical Journal

1. #### Classification results of quasi Einstein solitons

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.

2. #### Classification results of quasi Einstein solitons

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.

3. #### Classification results of quasi Einstein solitons

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.

4. #### The Grothendieck conjecture for the moduli spaces of hyperbolic curves of genus one

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.

5. #### The Grothendieck conjecture for the moduli spaces of hyperbolic curves of genus one

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.

6. #### The Grothendieck conjecture for the moduli spaces of hyperbolic curves of genus one

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.

7. #### On endomorphisms of hypersurfaces

Karzhemanov, Ilya
For any prime p ≥ 5, we show that generic hypersurface Xp $subset$ Pp 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.

8. #### On endomorphisms of hypersurfaces

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.

9. #### On endomorphisms of hypersurfaces

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.

10. #### Absolute zeta functions and the automorphy

Kurokawa, Nobushige; Tanaka, Hidekazu

11. #### Absolute zeta functions and the automorphy

Kurokawa, Nobushige; Tanaka, Hidekazu

12. #### Absolute zeta functions and the automorphy

Kurokawa, Nobushige; Tanaka, Hidekazu

13. #### A note on Atiyah's Γ-index theorem in Heisenberg calculus

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.

14. #### A note on Atiyah's Γ-index theorem in Heisenberg calculus

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.

15. #### A note on Atiyah's $Γ$-index theorem in Heisenberg calculus

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.

16. #### Ground state solutions for asymptotically periodic linearly coupled Schrödinger equations with critical exponent

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(RN, R) $\cap$ L(RN, 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...

17. #### Ground state solutions for asymptotically periodic linearly coupled Schrödinger equations with critical exponent

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...

18. #### Ground state solutions for asymptotically periodic linearly coupled Schrödinger equations with critical exponent

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...

19. #### On infinitesimal Strebel points

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 μ1 $\in$ [μ]T so that [μ1]B is an infinitesimal Strebel point.

20. #### On infinitesimal Strebel points

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.

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