科研之友
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摘要
Let F := {f(x): x epsilon X} be a family of functionals defined on a Hilbert manifold (E) over tilde and smoothly parameterized by a compact connected orientable n-dimensional manifold X, and let sigma : X -> (E) over tilde be a smooth section of critical points of F. The aim of this paper is to give a sufficient topological condition on the parameter space X which detects bifurcation of critical points for F from the trivial branch. Finally we are able to give some quantitative properties of the bifurcation set for perturbed geodesics on semi-Riemannian manifolds.
- 出版日期2011-5-15
