Zoltán Muzsnay

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Both the Bianchi and the serial transverse enteroplasty (STEP) procedure have been reported to be successful in short bowel syndrome, but both have their limitations. The Bianchi technique is surgically challenging and can only tailor the diameter to half and double the length. The STEP procedure is easy, adjustable, but it changes the orientation of the(More)
In this paper we investigate the following question: under what conditions can a second-order homogeneous ordinary differential equation (spray) be the geodesic equation of a Finsler space. We show that the EulerLagrange partial differential system on the energy function can be reduced to a first order system on this same function. In this way we are able(More)
The projective metrizability problem can be formulated as follows: under what conditions the geodesics of a given spray coincide with the geodesics of some Finsler space, as oriented curves. In Theorem 3.8 we reformulate the projective metrizability problem for a spray in terms of a first-order partial differential operator P1 and a set of algebraic(More)
The geodesic graph of Riemannian spaces all geodesics of which are orbits of 1-parameter isometry groups is constructed by J. Szenthe in 1976 and it became a basic tool for studying such spaces, called g.o. spaces. This infinitesimal structure corresponds to the reductive complement m in the case of naturally reductive spaces. The systematic study of(More)
In this paper we study the linearizability problem for 3-webs on a 2-dimensional manifold. With an explicit computation based on the theory developed in [9], we examine a 3-web whose linearizability was claimed in [9]. We show that, contrary to the statement of [6] and [7], this particular web is linearizable. We compute explicitly the affine deformation(More)
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