Genericity of nondegenerate critical points and Morse geodesic functionals
Genericity of nondegenerate critical points and Morse geodesic functionals
We consider a family of variational problems on a Hilbert manifold parameterized by an open subset of a Banach manifold, and we discuss the genericity of the nondegeneracy condition for the critical points. Using classical techniques, we prove an abstract genericity result that employs the infinite dimensional Sard―Smale theorem, along …