On the actions of SO(3) on lens space II

Soon-Kyu Kim; Jingyal Pak

Displaying similar documents to “On the actions of SO(3) on lens space II”

On the actions of SO(3) on lens spaces

Soon-Kyu Kim, Jingyal Pak (1976)

Fundamenta Mathematicae

Similarity:

On the semisimple degree of symmetry

Dan Burghelea, Reinhard Schultz (1975)

Bulletin de la Société Mathématique de France

Similarity:

Linear models for reductive group actions on affine quadrics

Michael Doebeli (1994)

Bulletin de la Société Mathématique de France

Similarity:

Fixed points for reductive group actions on acyclic varieties

Martin Fankhauser (1995)

Annales de l'institut Fourier

Similarity:

Let $X$ be a smooth, affine complex variety, which, considered as a complex manifold, has the singular $ℤ$ -cohomology of a point. Suppose that $G$ is a complex algebraic group acting algebraically on $X$ . Our main results are the following: if $G$ is semi-simple, then the generic fiber of the quotient map $π : X \to X / / G$ contains a dense orbit. If $G$ is connected and reductive, then the action has fixed points if $\dim X / / G \leq 3$ .

An introduction to spherical orbit spaces.

McGowan, Jill, Searle, Catherine (2002)

International Journal of Mathematics and Mathematical Sciences

Similarity:

On quasihomogeneous manifolds – via Brion-Luna-Vust theorem

Marco Andreatta, Jarosław A. Wiśniewski (2003)

Bollettino dell'Unione Matematica Italiana

Similarity:

We consider a smooth projective variety $X$ on which a simple algebraic group $G$ acts with an open orbit. We discuss a theorem of Brion-Luna-Vust in order to relate the action of $G$ with the induced action of $G$ on the normal bundle of a closed orbit of the action. We get effective results in case $G = S L (n)$ and $dim X \leq 2 n - 2$ .

Fixed point data of finite groups acting on 3-manifolds.

Frenkel, Péter E. (2003)

Algebraic & Geometric Topology

Similarity:

Near-homogeneous 16-dimensional planes.

Salzmann, Helmut (2001)

Advances in Geometry

Similarity: