PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
2005 | 186 | 2 | 97-109
Tytuł artykułu

$Z₂^{k}$-actions with a special fixed point set

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Let Fⁿ be a connected, smooth and closed n-dimensional manifold satisfying the following property: if $N^{m}$ is any smooth and closed m-dimensional manifold with m > n and $T:N^{m} → N^{m}$ is a smooth involution whose fixed point set is Fⁿ, then m = 2n. We describe the equivariant cobordism classification of smooth actions $(M^{m};Φ)$ of the group $G = Z₂^{k}$ on closed smooth m-dimensional manifolds $M^{m}$ for which the fixed point set of the action is a submanifold Fⁿ with the above property. This generalizes a result of F. L. Capobianco, who obtained this classification for $Fⁿ = ℝP^{2r}$ (P. E. Conner and E. E. Floyd had previously shown that $ℝP^{2r}$ has the property in question). In addition, we establish some properties concerning these Fⁿ and give some new examples of these special manifolds.
Słowa kluczowe
Rocznik
Tom
186
Numer
2
Strony
97-109
Opis fizyczny
Daty
wydano
2005
Twórcy
  • Centro de Ciências Exatas e Tecnologia, Departamento de Matemática, Universidade Federal de São Carlos, Caixa Postal 676; CEP 13.565-905, São Carlos, SP, Brazil
  • Departamento de Ciências Exatas, Campus Universitário de Três Lagoas, Universidade Federal de Mato Grosso do Sul, Caixa Postal 210; CEP 79603-011, Três Lagoas, MS, Brazil
Bibliografia
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-doi-10_4064-fm186-2-1
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.