Remarks on manifolds which admit locally free nilpotent Lie group actions
نویسندگان
چکیده
منابع مشابه
3-manifolds Which Admit Finite Group Actions
We prove several results which support the following conjectures: (1) Any smooth action of a finite group on a geometric 3-manifold can be conjugated to preserve the geometric structure. (2) Every irreducible closed 3-manifold M with infinite nx(M) is finitely covered by a Haken 3-manifold.
متن کاملFour-manifolds which admit Zp ×Zp actions
We show that the simply-connected four-manifolds which admit locally linear, homologically trivial Zp ×Zp actions are homeomorphic to connected sums of ±CP 2 and S × S (with one exception: pseudofree Z3 × Z3 actions on the Chern manifold), and also establish an equivariant decomposition theorem. This generalizes results from a 1970 paper by Orlik and Raymond about torus actions, and complements...
متن کاملWhich weakly ramified group actions admit a universal formal deformation?
We determine exactly which formal deformation functors of representations of a finite group as weakly ramified automorphisms of a power series ring over a perfect field of positive characteristic are prorepresentable: only in characteristic two, the weak action of an involution and of the Klein group have non-pro-representable mixedcharacteristic formal deformation functors, and only the first ...
متن کاملAffine Actions on Nilpotent Lie Groups
To any connected and simply connected nilpotent Lie group N , one can associate its group of affine transformations Aff(N). In this paper, we study simply transitive actions of a given nilpotent Lie group G on another nilpotent Lie group N , via such affine transformations. We succeed in translating the existence question of such a simply transitive affine action to a corresponding question on ...
متن کاملTopological Obstructions to Certain Lie Group Actions on Manifolds
Given a smooth closed S1-manifold M , this article studies the extent to which certain numbers of the form (f∗ (x) · P · C) [M ] are determined by the fixed-point set MS 1 , where f : M → K (π1 (M) , 1) classifies the universal cover of M , x ∈ H∗ (π1 (M) ;Q), P is a polynomial in the Pontrjagin classes of M , and C is in the subalgebra of H∗ (M ;Q) generated by H2 (M ;Q). When MS 1 = ∅, variou...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Hokkaido Mathematical Journal
سال: 1988
ISSN: 0385-4035
DOI: 10.14492/hokmj/1381517806