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With development in communication and information technology and fast distribution of personal computers, the use of technology in training has improved. The foundation of mathematics educational fiel...
Under weak regularity assumptions, only, we develop a fully geometric theory of vacuum Einstein spacetimes with T2–symmetry, establish the global well-posedness of the initial value problem for Eins...
Under weak regularity assumptions, only, we develop a fully geometric theory of vacuum Einstein spacetimes with T2–symmetry, establish the global well-posedness of the initial value problem for Eins...
In the paper, we obtain the Virial Theorem and Hypervirial Theorem in a spherical geometry. The Hypervirial Theorem and Hellmann-Feynman Theorem are used to formulate a perturbation theorem without ...
This note collects a number of standard statements in Riemannian geometry and in Sobolevspace theory that play a prominent role in analytic approaches to symplectic topology. These include relations...
The Convex Geometry of Linear Inverse Problems     The Convex Geometry  Linear Inverse Problems       font style='font-size:12px;'> 2011/1/4
In applications throughout science and engineering one is often faced with the challenge of solving an ill-posed inverse problem, where the number of available measurements is smaller than the dimensi...
We consider the radial transport of test particles due to the E×B drift motion in the guiding center approximation. In a configuration where the magnetic field is constant and uniform in linear device...
By using variational calculus and exterior derivative formalism, we proposed in [30] and [11] a new geometric approach to electromagnetism in pseudo-Finsler spaces.
An analysis of the work of Mira Fernandes on unitary theories is presented.
In this paper we examine the relevance of the signature of the metric of space-time on constructing the product of the pseudo-Riemannian spectral triple with a finite triple describing the internal ge...
Using mathematical formalism borrowed from dynamical systems theory, a complete analytical investigation of the critical behaviour of the stationary flow configuration for the low angular momentum axi...
Noncommutative Geometry and Supergravity     Noncommutative Geometry  Supergravity       font style='font-size:12px;'> 2010/12/23
A spectral action associated with an Einstein-Cartan formulation of supergravity is proposed. To construct this action we make use of the Seeley-DeWitt coefficients in a Riemann-Cartan space. For con...
We study various aspects of the matrix models calculating free energies and Wilson loop observables in supersymmetric Chern-Simons-matter theories on the three-sphere. We first develop techniques to e...
We study dynamics of a membrane and its matrix regularisation. We present the matrix regularisation for a membrane propagating in a curved space-time geometry in the presence of an arbitrary 3-form fi...
Gravitating magnetic monopole in Vaidya geometry     Gravitating magnetic monopole  Vaidya geometry       font style='font-size:12px;'> 2010/12/27
A magnetic-monopole solution of a non-Abelian gauge theory as proposed by 't Hooft-Polyakov is studied in the Vaidya space-time. We find that the solutions of Einstein equations generates a geometry ...

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