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Перегляд Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) за назвою

Репозиторій DSpace/Manakin

Перегляд Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) за назвою

Сортувати за: Порядок: Результатів:

  • Completely Integrable Contact Hamiltonian Systems and Toric Contact Structures on S²×S³ 
    Boyer, C.P. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    I begin by giving a general discussion of completely integrable Hamiltonian systems in the setting of contact geometry. We then pass to the particular case of toric contact structures on the manifold S²×S³. In particular ...
  • Completely Integrable Systems Associated with Classical Root Systems 
    Oshima, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We study integrals of completely integrable quantum systems associated with classical root systems. We review integrals of the systems invariant under the corresponding Weyl group and as their limits we construct enough ...
  • Complex Projection of Quasianti-Hermitian Quaternionic Hamiltonian Dynamics 
    Scolarici, G. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We characterize the subclass of quasianti-Hermitian quaternionic Hamiltonian dynamics such that their complex projections are one-parameter semigroup dynamics in the space of complex quasi-Hermitian density matrices. As ...
  • Complex SUSY Transformations and the Painlevé IV Equation 
    Bermúdez, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    In this paper we will explicitly work out the complex first-order SUSY transformation for the harmonic oscillator in order to obtain both real and complex new exactly-solvable potentials. Furthermore, we will show that ...
  • Computation of Composition Functions and Invariant Vector Fields in Terms of Structure Constants of Associated Lie Algebras 
    Magazev, A.A.; Mikheyev, V.V.; Shirokov, I.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    Methods of construction of the composition function, left- and right-invariant vector fields and differential 1-forms of a Lie group from the structure constants of the associated Lie algebra are proposed. It is shown that ...
  • Configurations of an Articulated Arm and Singularities of Special Multi-Flags 
    Pelletier, F.; Slayman, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    P. Mormul has classified the singularities of special multi-flags in terms of “EKR class'' encoded by sequences j1,…,jk of integers (see [Singularity Theory Seminar, Warsaw University of Technology, Vol. 8, 2003, 87-100] ...
  • Configurations of points and the symplectic Berry-Robbins problem 
    Malkoun, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    We present a new problem on configurations of points, which is a new version of a similar problem by Atiyah and Sutcliffe, except it is related to the Lie group Sp(n), instead of the Lie group U(n). Denote by h a Cartan ...
  • Confluent Chains of DBT: Enlarged Shape Invariance and New Orthogonal Polynomials 
    Grandati, Y.; Quesne, C. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    We construct rational extensions of the Darboux-Pöschl-Teller and isotonic potentials via two-step confluent Darboux transformations. The former are strictly isospectral to the initial potential, whereas the latter are ...
  • Conformal Dirichlet-Neumann Maps and Poincaré-Einstein Manifolds 
    Gover, A.R. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    A conformal description of Poincaré-Einstein manifolds is developed: these structures are seen to be a special case of a natural weakening of the Einstein condition termed an almost Einstein structure. This is used for two ...
  • Conformal Killing-Yano Tensors on Manifolds with Mixed 3-Structures 
    Ianus, S.; Visinescu, M.; Vîlcu, G.E. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We show the existence of conformal Killing-Yano tensors on a manifold endowed with a mixed 3-Sasakian structure.
  • Conformally Equivariant Quantization - a Complete Classification 
    Michel, Jean-Philippe (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    Conformally equivariant quantization is a peculiar map between symbols of real weight δ and differential operators acting on tensor densities, whose real weights are designed by λ and λ+δ. The existence and uniqueness of ...
  • Conformal Metrics with Constant Q-Curvature 
    Malchiodi, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We consider the problem of varying conformally the metric of a four dimensional manifold in order to obtain constant Q-curvature. The problem is variational, and solutions are in general found as critical points of saddle ...
  • Conformal Powers of the Laplacian via Stereographic Projection 
    Graham, C.R. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    A new derivation is given of Branson's factorization formula for the conformally invariant operator on the sphere whose principal part is the k-th power of the scalar Laplacian. The derivation deduces Branson's formula ...
  • Conformal Structures Associated to Generic Rank 2 Distributions on 5-Manifolds – Characterization and Killing-Field Decomposition 
    Hammerl, M.; Sagerschnig, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    Given a maximally non-integrable 2-distribution D on a 5-manifold M, it was discovered by P. Nurowski that one can naturally associate a conformal structure [g]D of signature (2,3) on M. We show that those conformal ...
  • 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 ...
  • Consequences of Symmetries on the Analysis and Construction of Turbulence Models 
    Razafindralandy, D.; Hamdouni, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    Since they represent fundamental physical properties in turbulence (conservation laws, wall laws, Kolmogorov energy spectrum, ...), symmetries are used to analyse common turbulence models. A class of symmetry preserving ...
  • Conservation Laws, Hodograph Transformation and Boundary Value Problems of Plane Plasticity 
    Senashov, S.I.; Yakhno, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    For the hyperbolic system of quasilinear first-order partial differential equations, linearizable by hodograph transformation, the conservation laws are used to solve the Cauchy problem. The equivalence of the initial ...
  • Constructing Involutive Tableaux with Guillemin Normal Form 
    Smith, A.D. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    Involutivity is the algebraic property that guarantees solutions to an analytic and torsion-free exterior differential system or partial differential equation via the Cartan-Kähler theorem. Guillemin normal form establishes ...
  • Constructing Soliton and Kink Solutions of PDE Models in Transport and Biology 
    Vladimirov, V.A.; Kutafina, E.V.; Pudelko, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    We present a review of our recent works directed towards discovery of a periodic, kink-like and soliton-like travelling wave solutions within the models of transport phenomena and the mathematical biology. Analytical ...
  • Construction of a Lax Pair for the E₆⁽¹⁾ q-Painlevé System 
    Witte, N.S.; Ormerod, C.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    We construct a Lax pair for the E₆⁽¹⁾ q-Painlevé system from first principles by employing the general theory of semi-classical orthogonal polynomial systems characterised by divided-difference operators on discrete, ...

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