One fixed point actions on spheres

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1 Introduction

In 1946, Montgomery and Samelson made a comment [Montgomery&Samelson1946] that when a compact group $G$$<!-- COMMENT: To achieve a unified layout, along with using the template below, please OBSERVE the following: besides, $...$ and $$...$$, you should use two environments: - For statements like Theorem, Lemma, Definition etc., use e.g. {{beginthm|Theorem 1|(Milnor)}} ... ... ... {{endthm}}. - For references, use e.g. {{cite|Milnor1958b}}. END OF COMMENT --> {{Stub}} == Introduction == <wikitex>; In 1946, Montgomery and Samelson made a comment {{cite|Montgomery&Samelson1946}} that when a compact group $G$ acts smoothly on a sphere in such a way as to have one fixed point, it is likely that there must be a second fixed point. </wikitex> == Problem == <wikitex>; ... </wikitex> == Results so far == <wikitex>; ... </wikitex> == Further discussion == <wikitex>; ... </wikitex> == References == {{#RefList:}} [[Category:Problems]]G$ acts smoothly on a sphere in such a way as to have one fixed point, it is likely that there must be a second fixed point.

2 Problem

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3 Results so far

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4 Further discussion

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5 References

• [Montgomery&Samelson1946] D. Montgomery and H. Samelson, Fiberings with singularities, Duke Math. J. 13 (1946), 51–56. MR0015794 (7,471a) Zbl 0060.41501