A geometrical proof of the persistence of normally hyperbolic submanifolds

We will establish here that, in the presence of generic additional assumptions, the resonant arc Γ 1 is contained in a forcing class, which implies the conclusion of Theorem 1.2,

A compact strongly invariant manifold is called normally hyperbolic if it is eventually absolutely 1-normally hyperbolic for the time-one flow in the sense of [12], Definition

How- ever, these lower dimensional tori are contained in normally hyperbolic invariant annuli and cylinders which have their own stable and unstable manifolds (which, in turn,

Our result suggests public health implications that may have been previously overlooked, as it is unexpected that northward shifts in host species range may result in the

Besides the dimension and the volume of the sub- manifold and the order of the eigenvalue, these bounds depend on either the maximal number of intersection points of M with a p-

theorem of Cheng [2] gives a computable sharp upper bound in terms of the diameter, and lower bound of the Ricci curvature; while Yau ([8]).. derived a computable

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Previous research work has developed tools that provide users with more effective notice and choice [9, 18, 19, 31]. With increasing concerns about privacy because of AI, some