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The only smooth tight immersions of simply connected 4-manifolds which are known are spheres as convex hypersurfaces in 5-space, the Veronese- type embedding of C P 2 into 8-space
Abstract. In this article we expose a proof of the Canonical Decomposi- tion Theorem of irreducible 3-manifolds along tori and annuli, also known as JSJ Theorem. This proof will
The method of fundamental solution, see section 3.3, is used to solve the direct problem (5)-(8) and to evaluate the objective function (9) for a given boundary γ.. In all the
Using the well-known regularization theorems [6], from these results we easily obtain the existence of classical solutions for suffi- ciently smooth S and boundary data.. In
Applying the potential method and the theory of singular integral equations, the normality of singular integral equations corresponding to the boundary value problems
We provide an existence result for a Neumann nonlinear boundary value problem posed on the half-line.. If kernel L is nontrivial then the equation is called resonant and one can
It generalizes the well-known Referendum Paradox to the non-dichotomous choice case, and shows that all Condorcet choice rules are sensitive to the design of the apportionment of
An algorithm has been developed for the numerical solution of the incompressible Navier–Stokes with central dierences in primitive variables and the Neumann boundary condition for