共查询到20条相似文献,搜索用时 93 毫秒
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Dedicated to the memory of Ed Floyd with admiration and friendship 相似文献
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We prove a criterion for an isometric action of a Lie group on a Riemannian manifold to be polar. From this criterion, it follows that an action with a fixed point is polar if and only if the slice representation at the fixed point is polar and the section is the tangent space of an embedded totally geodesic submanifold. We apply this to obtain a classification of polar actions with a fixed point on symmetric spaces. 相似文献
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Masaharu Morimoto 《K-Theory》1991,4(3):289-302
This paper proves that all standard spheresS
n of dimension n=6 orn 9 have smooth one fixed point actions of the alternating groupA
5 on five letters.Partially supported by the Yukawa Foundation, and also by Grant-in-Aid for Scientific Research 01740048. 相似文献
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Pavel Shumyatsky 《Israel Journal of Mathematics》1994,87(1-3):111-116
Letp be a prime,G a periodic solvablep′-group acted on by an elementary groupV of orderp
2. We show that ifC
G(v) is abelian for eachv ∈V
# thenG has nilpotent derived group, and ifp=2 andC
G(v) is nilpotent for eachv ∈V
# thenG is metanilpotent. Earlier results of this kind were known only for finite groups. 相似文献
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Matthias Hamann 《Abhandlungen aus dem Mathematischen Seminar der Universit?t Hamburg》2017,87(2):245-263
We look at group actions on graphs and other metric spaces, e. g., at group actions on geodesic hyperbolic spaces. We classify the types of automorphisms on these spaces and prove several results about the density of the hyperbolic limit set of the group in the whole limit set of the group. 相似文献
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Archiv der Mathematik - For arbitrary $$S^{1}$$ -actions on $$S^{m}_{{\mathbb {Q}}}$$ , $$S^{n}_{{\mathbb {Q}}}$$ , and $$S^{m}_{{\mathbb {Q}}}\times S^{n}_{{\mathbb {Q}}}$$ , we show the... 相似文献
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In this paper, when G is the circle S1 and M is a G-space, we study the rational homotopy type of the fixed point set MG, the homotopy fixed point set MhG, and the natural injection MG→MhG. 相似文献
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Jang Hyun Jo 《Journal of Fixed Point Theory and Applications》2018,20(4):144
We present some fixed point theorems and common fixed point theorems which generalize and unify previous known results. 相似文献
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