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JOURNALS // Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya // Archive

Izv. Akad. Nauk SSSR Ser. Mat., 1977 Volume 41, Issue 2, Pages 308–324 (Mi im1803)

This article is cited in 13 papers

Dense orbits with two ends

D. N. Akhiezer


Abstract: 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.

UDC: 513.6

MSC: 20G20, 57E25

Received: 24.10.1975


 English version:
Mathematics of the USSR-Izvestiya, 1977, 11:2, 293–307

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