A common fixed point theorem for commuting expanding maps on nilmanifolds.
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Tauraso, Roberto (2005)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Alexander Kushkuley, Zalman Balanov (1994)
Manuscripta mathematica
Tammo Tom Dieck (1977)
Compositio Mathematica
Stefan Bauer (1989)
Commentarii mathematici Helvetici
Peter Symonds (1991)
Commentarii mathematici Helvetici
Eldar Straume, Wu-yi Hsiang (1986)
Journal für die reine und angewandte Mathematik
Volker Hauschild (1985)
Mathematische Zeitschrift
Henning Hauschild (1975)
Mathematische Zeitschrift
Akio Hattori (1998)
Banach Center Publications
Alan Weinstein (2000)
Journal of the European Mathematical Society
We define a distance between submanifolds of a riemannian manifold and show that, if a compact submanifold is not moved too much under the isometric action of a compact group , there is a -invariant submanifold -close to . The proof involves a procedure of averaging nearby submanifolds of riemannian manifolds in a symmetric way. The procedure combines averaging techniques of Cartan, Grove/Karcher, and de la Harpe/Karoubi with Whitney’s idea of realizing submanifolds as zeros of sections...
McGowan, Jill, Searle, Catherine (2002)
International Journal of Mathematics and Mathematical Sciences
Grzegorz Dylawerski, Kazimierz Gęba, Jerzy Jodel, Wacław Marzantowicz (1991)
Annales Polonici Mathematici
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