Results 11 to 20 of about 350,150 (192)

Symplectic structures on Banach manifolds [PDF]

Bulletin of the American Mathematical Society, 1969
1. Normal form. Let M be a Banach manifold. A symplectic structure on M is a closed 2-form Q such that the associated mapping S: T(M)->T*(M) defined by Q(X) = X _ ] 0 is a bundle isomorphism.
A. Weinstein
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Fibrations on Banach manifolds [PDF]

Pacific Journal of Mathematics, 2004
The paper gives conditions for a submersion \(f:M\to N\) between paracompact Banach manifolds (with \(N\) connected) to be a fiber bundle. A direct connection is made between the fiber bundle structure and suitable path-lifting properties, providing criteria of topological nature (such as \(f\) being a proper or a closed map or of metric nature).
Olivia Gut'u, J. Jaramillo
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Integrability on Direct Limit Banach manifolds [PDF]

, 2014
This paper is devoted to the framework of direct limit of anchored Banach bundles over a convenient manifold which is a direct limit of Banach manifold. In particular we give a criterion of integrability for distributions on such convenient manifolds which are locally direct limits of particular sequences of Banach anchor ranges.
Cabau, Patrick, Pelletier, Fernand
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Vitali properties of Banach analytic manifolds [PDF]

ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, 2019
29 ...
Van Khue, Nguyen, Dieu, Nguyen Quang, Van Khiem, Nguyen   +2 more
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Aron–Berner–type extension in complex Banach manifolds [PDF]

Transactions of the American Mathematical Society, 2023
Let S S be a compact Hausdorff space and X X a complex manifold. We consider the space C ( S , X ) C(S,X) of continuous maps S → X S\to X , and prove that any bounded holomorphic function on this space can be ...
László Lempert
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FREDHOLM MAPPINGS AND BANACH MANIFOLDS [PDF]

Journal of the Korean Mathematical Society, 2009
Two C 1 -mappings, whose domain is a connected compact C 1 -Banach manifold modelled over a Banach space X over K = R or C and whose range is a Banach space Y over K; are introduced. Su-cient conditions are given to assert they share only a value. The proof of the result, which is based upon continuation methods, is constructive. 1.
Javier Arbizu
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Lusternik-Schnirelman theory on Banach manifolds

Topology, 1966
SEVERAL years ago the author, and independently Smale, generalized the Morse theory of critical points to cover certain functions on hilbert manifolds [5,6 and 91. Shortly thereafter J. Schwartz showed how the same techniques allowed one also to extend the LusternikSchnirelman theory of critical points to functions on hilbert manifolds [7].
R. Palais
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The Stacey-Roberts Lemma for Banach Manifolds [PDF]

Symmetry, Integrability and Geometry: Methods and Applications
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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Bundles of acceleration on Banach manifolds [PDF]

Nonlinear Analysis: Theory, Methods & Applications, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
C. Dodson, G. Galanis
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Induction for weak symplectic Banach manifolds

Journal of Geometry and Physics, 2008
This paper extends the symplectic induction procedure to the case of weak symplectic Banach manifolds. On weak symplectic manifolds not all smooth functions admit a Hamiltonian vector field. The authors first introduce the Poisson subalgebra of smooth functions that admit Hamiltonian vector fields.
A. Odzijewicz, T. Ratiu
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