Mostrando recursos 1 - 20 de 42

  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.

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.