Fixed points of periodic maps
نویسندگان
چکیده
منابع مشابه
Fixed Points and Periodic Points of Semiflows of Holomorphic Maps
Let φ be a semiflow of holomorphic maps of a bounded domain D in a complex Banach space. The general question arises under which conditions the existence of a periodic orbit of φ implies that φ itself is periodic. An answer is provided, in the first part of this paper, in the case in which D is the open unit ball of a J∗-algebra and φ acts isometrically. More precise results are provided when t...
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The study of fixed points is a classical subject in geometry and dynamics. If the circle acts in a Hamiltonian fashion on a compact symplectic manifoldM , then it is classically known that there are at least dim M 2 +1 fixed points; this follows fromMorse theory for the momentum map of the action. In this paper we use Atiyah-Bott-Berline-Vergne (ABBV) localization in equivariant cohomology to p...
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ژورنال
عنوان ژورنال: Proceedings of the National Academy of Sciences
سال: 1980
ISSN: 0027-8424,1091-6490
DOI: 10.1073/pnas.77.9.5052