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Some recent work in Frechet geometry
Some recent work in Frechet geometry is briefly reviewed. In particular an earlier result on the structure of second tangent bundles in the finite dimensional case was extended to infinite dimensional Banach manifolds and Frechet manifolds that could be ...
Dodson, C. T. J.
core
The Stacey-Roberts Lemma for Banach Manifolds
The Stacey-Roberts lemma states that a surjective submersion between finite-dimensional manifolds gives rise to a submersion on infinite-dimensional manifolds of smooth mappings by pushforward. This result is foundational for many constructions in infinite-dimensional differential geometry such as the construction of Lie groupoids of smooth mappings ...
Kristel, Peter, Schmeding, Alexander
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The Semi-simplicity Manifold on Arbitrary Banach Spaces
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Delaubenfels, R., Kantorovitz, S.
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The Euler characteristic of vector fields on Banach manifolds and the problem of Plateau [PDF]
Antony Tromba
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Goliński, Tomasz, Pelletier, Fernand
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Compensated Compactness in Banach Spaces and Weak Rigidity of Isometric Immersions of Manifolds [PDF]
Gui‐Qiang Chen, Siran Li
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A characterization of Walrasian economies of infinity dimension [PDF]
We consider a pure exchange economy, where agent's consumption spaces are Banach spaces, goods are contingent in time of states of the world, the utility function of each agent is not necessarily a separable function, but increasing, quasiconcave, and ...
Elvio Accinelli, Martín Puchet
core
A general center manifold theorem on fields of Banach spaces [PDF]
Mazyar Ghani Varzaneh, Sebastian Riedel
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Biseparating maps between smooth vector-valued functions on Banach manifolds [PDF]
Ching-Jou Liao, Ya-Shu Wang
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