A path-integral quantization on a homogeneous space G/H is proposed based on the guiding principle ‘first lift to G and then project to G/H’. It is then shown that this principle gives a simple procedure to obtain the inequivalent quantizations (superselection sectors) along with the holonomy factor (induced gauge field) found earlier by algebraic approaches. We also prove that the resulting ma...

in this paper, we have dened and studied a generalized form of topological vectorspaces called s-topological vector spaces. s-topological vector spaces are dened by using semi-open sets and semi-continuity in the sense of levine. along with other results, it is provedthat every s-topological vector space is generalized homogeneous space. every open subspaceof an s-topological vector space is ...

‎in this paper‎, ‎we obtain exact solutions involving parameters of some nonlinear pdes in mathmatical physics; namely the one-‎dimensional modified complex ginzburg-landau equation by using the $ (g^{'}/g) $ expansion method‎, homogeneous balance method, extended f-expansion method‎. ‎by ‎using homogeneous balance principle and the extended f-expansion, more periodic wave solutions expres...

In this paper, we study the fluctuations of observables metric measure spaces which are random discrete approximations Xn a fixed arbitrary (complete, separable) space X=(X,d,μ). These Φ(Xn) polynomials in sense Greven–Pfaffelhuber–Winter, and show that for generic model X, they yield asymptotically normal variables. However, if X is compact homogeneous space, then much smaller, after an adequa...

We consider a homogeneous space X = (X, d,m) of dimension ν ≥ 1 and a local regular Dirichlet form in L2 (X,m) . We prove that if a Poincaré inequality of exponent 1 ≤ p < ν holds on every pseudo-ball B (x,R) of X, with local characteristic constant c0 (x) and c1 (r), then a Green’s function estimate from above and below is obtained. A Saint-Venant-like principle is recovered in terms of the En...

Were all authors at both of their affiliations when the paper was written or are any of these present addresses? In this paper we study a non-homogeneous Neumann-type problem which involves a nonlinearity satisfying a non-standard growth condition. By using a recent Change OK? variational principle of Ricceri, we establish the existence of at least two non-trivial solutions in an appropriate Or...

Optical space differs from physical space. The structure of optical space has generally been assumed to be metrical. In contradistinction, we do not assume any metric, but only incidence relations (i.e., we assume that optical points and lines exist and that two points define a unique line, and two lines a unique point). (The incidence relations have generally been assumed implicitly by earlier...