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On the role played by the work of Ulisse Dini on implicit function theory in the modern differential geometry foundations:the case of the structure of a differentiable manifold,1
differentiable manifold implicit function immersion theorems
2016/5/30
In this first paper we outline what possible historic-epistemological role might have played the work of Ulisse Dini on implicit function theory in formulating the structure of differentiable manifold...
A generalization of the implicit function theorem
Implicit Function Theorem convex subsets Banach spaces
2010/9/25
In this work, we generalize the classical theorem of the implicit function, for functions whose domains are open subset of Banach spaces in to a Banach space, to the case of functions whose domains ar...
On the equivariant implicit function theorem with low regularity and applications to geometric variational problems
equivariant implicit function theorem low regularity and applications variational problems
2010/12/14
We prove an implicit function theorem for functions on infinite dimensional Banach manifolds, invariant under the (local) action of a finite dimensional Lie group. Motivated by some geometric variatio...
A Note on Global Implicit Function Theorem
Global implicit function Boundary behaviour of a maximal implicit function
2008/7/3
A Note on Global Implicit Function Theorem.
The Analytic Domain in the Implicit Function Theorem
Implicit Function Theorem Analytic Functions
2008/6/26
The Implicit Function Theorem asserts that there exists a ball of nonzero radius within which one can express a certain subset of variables, in a system of analytic equations, as analytic functions of...