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Abstract The angular geometry of asymptotic Teichmuller spaces is studied. Although it has been proved that the angles between any two geodesic rays from the base point of A T… Click to show full abstract
Abstract The angular geometry of asymptotic Teichmuller spaces is studied. Although it has been proved that the angles between any two geodesic rays from the base point of A T ( X ) always exist, it is shown in this paper that there are infinitely many pairs of intersecting geodesic segments such that the angles between them do not exist. The sums of inner angles of geodesic triangles are also studied. It is proved that for any number from 0 to 3π there exists a geodesic triangle in A T ( X ) such that the sum of its inner angles is equal to such a number.
Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2017
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