Geodesic
The wave equation with symmetric velocity on the hybrid manifold obtained by gluing a ray to a three-dimensional sphere
Trudy Moskovskogo matematičeskogo obŝestva, Trudy Moskovskogo Matematicheskogo Obshchestva, Tome 82 (2021) no. 2, pp. 369-392 
A. V. Tsvetkova; A. I. Shafarevich. The wave equation with symmetric velocity on the hybrid manifold obtained by gluing a ray to a three-dimensional sphere. Trudy Moskovskogo matematičeskogo obŝestva, Trudy Moskovskogo Matematicheskogo Obshchestva, Tome 82 (2021) no. 2, pp. 369-392. http://geodesic.mathdoc.fr/item/MMO_2021_82_2_a4/
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