Displaying similar documents to “Abelian surfaces and Kowalewski's top”

Geodesic flow on , Kac-Moody Lie algebra and singularities in the complex t-plane.

Ahmed Lesfari (1999)

Publicacions Matemàtiques

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The article studies geometrically the Euler-Arnold equations associatedto geodesic flow on for a left invariant diagonal metric. Such metric were first introduced by Manakov [17] and extensively studied by Mishchenko-Fomenko [18] and Dikii [6]. An essential contribution into the integrability of this problem was also made by Adler-van Moerbeke [4] and Haine [8]. In this problem there are four invariants of the motion defining in C = Lie( ⊗ C) an affine Abelian surface as complete intersection...

Complete minimal surfaces in ℝ 3 with type Enneper end

Nedir Do Espirito Santo (1994)

Annales de l'institut Fourier

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We show that there exists a complete minimal surface immersed into ℝ 3 which is conformally equivalent to a compact hyperelliptic Riemann surface of genus three minus one point. The end of the surface is of Enneper type and its total curvature is - 16 π .

Remarks on the equatorial shallow water system

Chloé Mullaert (2010)

Annales de la faculté des sciences de Toulouse Mathématiques

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This article recalls the results given by A. Dutrifoy, A. Majda and S. Schochet in [1] in which they prove an uniform estimate of the system as well as the convergence to a global solution of the long wave equations as the Froud number tends to zero. Then, we will prove the convergence with weaker hypothesis and show that the life span of the solutions tends to infinity as the Froud number tends to zero.