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Generalized Minkowski space with changing shape

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Abstract

In earlier papers we changed the concept of the inner product to a more general one, to the so-called Minkowski product. This product changes on the tangent space hence we could investigate a more general structure than a Riemannian manifold. Particularly interesting such a model is when the negative direct component has dimension one and the model shows a certain space-time character. We will discuss this case here. We give a deterministic and a non-deterministic (random) variant of such a model. As we showed, the deterministic model can be defined also with a “shape function”.

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  1. Department of Geometry, Mathematical Institute, Budapest University of Technology and Economics, 1521, Budapest, Hungary

    Á. G. Horváth

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  1. Á. G. Horváth
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Horváth, Á.G. Generalized Minkowski space with changing shape. Aequat. Math. 87, 337–377 (2014). https://doi.org/10.1007/s00010-013-0250-6

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  • DOI: https://doi.org/10.1007/s00010-013-0250-6

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