Geodesic
Dense orbits with two ends
Izvestiya. Mathematics , Tome 11 (1977) no. 2, pp. 293-307.

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In this paper almost transitive actions of linear algebraic groups $G$ are studied on complete normal manifolds $X$ defined over the field of complex numbers. Such actions are completely described in cases when the complement in $X$ of an open orbit is disconnected or contains an isolated point. As a preliminary, all homogeneous spaces of $G$ having two Freudenthal ends are found. Bibliography: 16 titles. 
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D. N. Akhiezer. Dense orbits with two ends. Izvestiya. Mathematics , Tome 11 (1977) no. 2, pp. 293-307. http://geodesic.mathdoc.fr/item/IM2_1977_11_2_a3/

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