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Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2007, том 3 за датою випуску

Репозиторій DSpace/Manakin

Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2007, том 3 за датою випуску

Сортувати за: Порядок: Результатів:

  • Alternative Method for Determining the Feynman Propagator of a Non-Relativistic Quantum Mechanical Problem 
    Moshinsky, M.; Sadurní, E.; del Campo, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    A direct procedure for determining the propagator associated with a quantum mechanical problem was given by the Path Integration Procedure of Feynman. The Green function, which is the Fourier Transform with respect to the ...
  • Curved Casimir Operators and the BGG Machinery 
    Cap, A.; Soucek, V. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We prove that the Casimir operator acting on sections of a homogeneous vector bundle over a generalized flag manifold naturally extends to an invariant differential operator on arbitrary parabolic geometries. We study some ...
  • Exact Solutions of the Equations of Relativistic Hydrodynamics Representing Potential Flows 
    Borshch, M.S.; Zhdanov, V.I. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We use a connection between relativistic hydrodynamics and scalar field theory to generate exact analytic solutions describing non-stationary inhomogeneous flows of the perfect fluid with one-parametric equation of state ...
  • Second-Order Approximate Symmetries of the Geodesic Equations for the Reissner-Nordström Metric and Re-Scaling of Energy of a Test Particle 
    Hussain, I.; Mahomed, F.M.; Qadir, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    Following the use of approximate symmetries for the Schwarzschild spacetime by A.H. Kara, F.M. Mahomed and A. Qadir (Nonlinear Dynam., to appear), we have investigated the exact and approximate symmetries of the system 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 ...
  • Biorthogonal Expansion of Non-Symmetric Jack Functions 
    Sahi, S.; Zhang, G. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We find a biorthogonal expansion of the Cayley transform of the non-symmetric Jack functions in terms of the non-symmetric Jack polynomials, the coefficients being Meixner-Pollaczek type polynomials. This is done by computing ...
  • Translation to Bundle Operators 
    Branson, T.P.; Hong, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We give explicit formulas for conformally invariant operators with leading term an m-th power of Laplacian on the product of spheres with the natural pseudo-Riemannian product metric for all m.
  • Some Conformal Invariants from the Noncommutative Residue for Manifolds with Boundary 
    Ugalde, W.J. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We review previous work of Alain Connes, and its extension by the author, on some conformal invariants obtained from the noncommutative residue on even dimensional compact manifolds without boundary. Inspired by recent ...
  • 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 ...
  • The Symmetric Tensor Lichnerowicz Algebra and a Novel Associative Fourier-Jacobi Algebra 
    Hallowell, K.; Waldron, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    Lichnerowicz's algebra of differential geometric operators acting on symmetric tensors can be obtained from generalized geodesic motion of an observer carrying a complex tangent vector. This relation is based upon quantizing ...
  • Integrability and Diffeomorphisms on Target Space 
    Adam, C.; Sanchez-Guillen, J.; Wereszczynski, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We briefly review the concepts of generalized zero curvature conditions and integrability in higher dimensions, where integrability in this context is related to the existence of infinitely many conservation laws. Under ...
  • Branson's Q-curvature in Riemannian and Spin Geometry 
    Hijazi, O.; Raulot, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    On a closed n-dimensional manifold, n ≥ 5, we compare the three basic conformally covariant operators: the Paneitz-Branson, the Yamabe and the Dirac operator (if the manifold is spin) through their first eigenvalues. On a ...
  • Future Directions of Research in Geometry: A Summary of the Panel Discussion at the 2007 Midwest Geometry Conference 
    Peterson, L.G. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    The 2007 Midwest Geometry Conference included a panel discussion devoted to open problems and the general direction of future research in fields related to the main themes of the conference. This paper summarizes the ...
  • Heat Trace Asymptotics on Noncommutative Spaces 
    Vassilevich, D.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    This is a mini-review of the heat kernel expansion for generalized Laplacians on various noncommutative spaces. Applications to the spectral action principle, renormalization of noncommutative theories and anomalies are ...
  • Stanilov-Tsankov-Videv Theory 
    Brozos-Vázquez, M.; Fiedler, B.; García-Río, E.; Gilkey, P.; Nikcevic, S.; Stanilov, G.; Tsankov, Y.; Vázquez-Lorenzo, R.; Videv, V. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We survey some recent results concerning Stanilov-Tsankov-Videv theory, conformal Osserman geometry, and Walker geometry which relate algebraic properties of the curvature operator to the underlying geometry of the manifold.
  • Vacuum Energy as Spectral Geometry 
    Fulling, S.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    Quantum vacuum energy (Casimir energy) is reviewed for a mathematical audience as a topic in spectral theory. Then some one-dimensional systems are solved exactly, in terms of closed classical paths and periodic orbits. ...
  • On Gauss-Bonnet Curvatures 
    Labbi, M.L. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    The (2k)-th Gauss-Bonnet curvature is a generalization to higher dimensions of the (2k)-dimensional Gauss-Bonnet integrand, it coincides with the usual scalar curvature for k =1. The Gauss-Bonnet curvatures are used in ...
  • Some Sharp L² Inequalities for Dirac Type Operators 
    Balinsky, A.; Ryan, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    We use the spectra of Dirac type operators on the sphere Sn to produce sharp L² inequalities on the sphere. These operators include the Dirac operator on Sn, the conformal Laplacian and Paenitz operator. We use the Cayley ...
  • Self-Localized Quasi-Particle Excitation in Quantum Electrodynamics and Its Physical Interpretation 
    Feranchuk, I.D.; Feranchuk, S.I. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    The self-localized quasi-particle excitation of the electron-positron field (EPF) is found for the first time in the framework of a standard form of the quantum electrodynamics. This state is interpreted as the ''physical'' ...
  • On 1-Harmonic Functions 
    Wei, S.W. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    Characterizations of entire subsolutions for the 1-harmonic equation of a constant 1-tension field are given with applications in geometry via transformation group theory. In particular, we prove that every level hypersurface ...

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