A fixed point theorem
Copyright policy )A fixed point theorem
We prove a fixed point theorem for the action of a Lie group \(G\) acting isometrically on a non-negatively curved Riemannian manifold with principal orbits which are isotropy irreducible homogeneous spaces. We refine our result when the curvature is positive and give a possible application to the study of immersions of homogeneous spaces into spheres.
- University of Parma Italy
- University of Florence Italy
Compact Lie groups of differentiable transformations, Differential geometry of homogeneous manifolds, homogeneous spaces, immersions of homogeneous spaces into spheres, fixed point theorem, Methods of global Riemannian geometry, including PDE methods; curvature restrictions, non-negatively curved Riemannian manifold
Compact Lie groups of differentiable transformations, Differential geometry of homogeneous manifolds, homogeneous spaces, immersions of homogeneous spaces into spheres, fixed point theorem, Methods of global Riemannian geometry, including PDE methods; curvature restrictions, non-negatively curved Riemannian manifold
citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).2 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!