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Интеллектуальная Система Тематического Исследования НАукометрических данных |
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We present a study of geodesics in two-dimensional pseudo-Riemannian metrics with varying signature. The equation of the geodesic flow has singularities at those points where the metric degenerates. This leads to a curious phenomenon: geodesics cannot pass through such a point in arbitrary tangential directions, but only in certain directions said to be admissible. Generically, the number of admissible directions varies from 1 to 3.