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Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2017, том 13 за датою випуску

Репозиторій DSpace/Manakin

Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2017, том 13 за датою випуску

Сортувати за: Порядок: Результатів:

  • A Projective-to-Conformal Fefferman-Type Construction 
    Hammerl, M.; Sagerschnig, K.; Šilhan, J.; Taghavi-Chabert, A.; Zádník, V. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We study a Fefferman-type construction based on the inclusion of Lie groups SL(n+1) into Spin(n+1,n+1). The construction associates a split-signature (n,n)-conformal spin structure to a projective structure of dimension ...
  • The Chazy XII Equation and Schwarz Triangle Functions 
    Bihun, O.; Chakravarty, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    Dubrovin [Lecture Notes in Math., Vol. 1620, Springer, Berlin, 1996, 120-348] showed that the Chazy XII equation y′′′−2yy′′+3y′²=K(6y′−y²)², K∈C, is equivalent to a projective-invariant equation for an affine connection ...
  • The Geometry of Almost Einstein (2,3,5) Distributions 
    Sagerschnig, K.; Willse, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We analyze the classic problem of existence of Einstein metrics in a given conformal structure for the class of conformal structures inducedf Nurowski's construction by (oriented) (2,3,5) distributions. We characterize in ...
  • Equivariant Gromov-Witten Invariants of Algebraic GKM Manifolds 
    Liu, Chiu-Chu Melissa; Sheshmani, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    An algebraic GKM manifold is a non-singular algebraic variety equipped with an algebraic action of an algebraic torus, with only finitely many torus fixed points and finitely many 1-dimensional orbits. In this expository ...
  • Hodge Numbers from Picard-Fuchs Equations 
    Doran, C.F.; Harder, A.; Thompson, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    Given a variation of Hodge structure over P¹ with Hodge numbers (1,1,…,1), we show how to compute the degrees of the Deligne extension of its Hodge bundles, following Eskin-Kontsevich-Möller-Zorich, by using the local ...
  • Multi-Poisson Approach to the Painlevé Equations: from the Isospectral Deformation to the Isomonodromic Deformation 
    Chiba, H. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    A multi-Poisson structure on a Lie algebra g provides a systematic way to construct completely integrable Hamiltonian systems on g expressed in Lax form ∂Xλ/∂t=[Xλ,Aλ] in the sense of the isospectral deformation, where ...
  • Integrable Deformations of Sine-Liouville Conformal Field Theory and Duality 
    Fateev, V.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We study integrable deformations of sine-Liouville conformal field theory. Every integrable perturbation of this model is related to the series of quantum integrals of motion (hierarchy). We construct the factorized ...
  • Connected Lie Groupoids are Internally Connected and Integral Complete in Synthetic Differential Geometry 
    Burke, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We extend some fundamental definitions and constructions in the established generalisation of Lie theory involving Lie groupoids by reformulating them in terms of groupoids internal to a well-adapted model of synthetic ...
  • Twistor Geometry of Null Foliations in Complex Euclidean Space 
    Taghavi-Chabert, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We give a detailed account of the geometric correspondence between a smooth complex projective quadric hypersurface Qⁿ of dimension n≥3, and its twistor space PT, defined to be the space of all linear subspaces of maximal ...
  • Self-Dual Systems, their Symmetries and Reductions to the Bogoyavlensky Lattice 
    Fordy, A.P.; Xenitidis, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We recently introduced a class of ZN graded discrete Lax pairs and studied the associated discrete integrable systems (lattice equations). In particular, we introduced a subclass, which we called ''self-dual''. In this ...
  • Lagrangian Mechanics and Reduction on Fibered Manifolds 
    Li, S.; Stern, A.; Tang, X. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    This paper develops a generalized formulation of Lagrangian mechanics on fibered manifolds, together with a reduction theory for symmetries corresponding to Lie groupoid actions. As special cases, this theory includes not ...
  • The Profinite Dimensional Manifold Structure of Formal Solution Spaces of Formally Integrable PDEs 
    Güneysu, B.; Pflaum, M.J. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    In this paper, we study the formal solution space of a nonlinear PDE in a fiber bundle. To this end, we start with foundational material and introduce the notion of a pfd structure to build up a new concept of profinite ...
  • Symmetries of the Hirota Difference Equation 
    Pogrebkov, A.K. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    Continuous symmetries of the Hirota difference equation, commuting with shifts of independent variables, are derived by means of the dressing procedure. Action of these symmetries on the dependent variables of the equation ...
  • Spacetime-Free Approach to Quantum Theory and Effective Spacetime Structure 
    Raasakka, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    Motivated by hints of the effective emergent nature of spacetime structure, we formulate a spacetime-free algebraic framework for quantum theory, in which no a priori background geometric structure is required. Such a ...
  • Another Approach to Juhl's Conformally Covariant Differential Operators from Sⁿ to Sⁿ⁻¹ 
    Clerc, Jean-Louis (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    A family (Dλ)λ∈C of differential operators on the sphere Sⁿ is constructed. The operators are conformally covariant for the action of the subgroup of conformal transformations of Sⁿ which preserve the smaller sphere Sⁿ⁻¹ ...
  • On the Spectra of Real and Complex Lamé Operators 
    Haese-Hill, W.A.; Hallnäs, M.A.; Veselov, A.P. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We study Lamé operators of the form L=−d²/dx²+m(m+1)ω²℘(ωx+z₀), with m∈N and ω a half-period of ℘(z). For rectangular period lattices, we can choose ω and z0 such that the potential is real, periodic and regular. It ...
  • Global Existence of Bi-Hamiltonian Structures on Orientable Three-Dimensional Manifolds 
    Işim Efe, M.; Abadoğlu, E. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    In this work, we show that an autonomous dynamical system defined by a nonvanishing vector field on an orientable three-dimensional manifold is globally bi-Hamiltonian if and only if the first Chern class of the normal ...
  • Klein's Fundamental 2-Form of Second Kind for the Cab Curves 
    Suzuki, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    In this paper, we derive the exact formula of Klein's fundamental 2-form of second kind for the so-called Cab curves. The problem was initially solved by Klein in the 19th century for the hyper-elliptic curves, but little ...
  • Simplified Expressions of the Multi-Indexed Laguerre and Jacobi Polynomials 
    Odake, S.; Sasaki, R. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    The multi-indexed Laguerre and Jacobi polynomials form a complete set of orthogonal polynomials. They satisfy second-order differential equations but not three term recurrence relations, because of the 'holes' in their ...
  • Orthogonal Rational Functions on the Unit Circle with Prescribed Poles not on the Unit Circle 
    Bultheel, A.; Cruz-Barroso, R.; Lasarow, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    Orthogonal rational functions (ORF) on the unit circle generalize orthogonal polynomials (poles at infinity) and Laurent polynomials (poles at zero and infinity). In this paper we investigate the properties of and the ...

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