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math.DG2018★ 3 cited
On the generalization of the Darboux theorem
Kaveh Eftekharinasab
We provide sufficient conditions for the existence of Darboux charts on weakly symplectic bounded Fréchet manifolds by using the Moser's trick.
math.DG2018
On the existence of a global diffeomorphism between Fréchet spaces
Kaveh Eftekharinasab
We provide sufficient conditions for the existence of a global diffeomorphism between tame Fréchet spaces. We prove a version of the Mountain Pass Theorem which is a key ingredient…