Results 11 to 20 of about 363,931 (208)
On real analytic Banach manifolds [PDF]
Journal of the London Mathematical Society, 2009 Let $X$ be a real Banach space with an unconditional basis (e.g., $X=\ell_2$ Hilbert space), $ \subset X$ open, $M\subset $ a closed split real analytic Banach submanifold of $ $, $E\to M$ a real analytic Banach vector bundle, and ${\Cal A}^E\to M$ the sheaf of germs of real analytic sections of $E\to M$.
Imre Patyi, Scott Simon
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On complex Banach manifolds similar to Stein manifolds [PDF]
Comptes Rendus. Mathématique, 2010 5 ...
Patyi, Imre
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An Example of Banach and Hilbert Manifold: The Universal Teichmüller Space
Trends in Mathematics, 2023 Hs-Diffeomorphisms groups of the circle. For s > 3/2, the group Diffs(S1) of Sobolev class Hs diffeomorphisms of the circle is a C∞-manifold modeled on the space of Hs-section of the tangent bundle TS1 ([1]), or equivalently on the space of real Hs ...
A. Tumpach
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FREDHOLM MAPPINGS AND BANACH MANIFOLDS [PDF]
Journal of the Korean Mathematical Society, 2009 Dirección General de Enseñanza ...
Javier Arbizu
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On hypersurfaces in a locally affine Riemannian Banach manifold II [PDF]
International Journal of Mathematics and Mathematical Sciences, 2004 In our previous work (2002), we proved that an essential second-order hypersurface in an infinite-dimensional locally affine Riemannian Banach manifold is a Riemannian manifold of constant nonzero curvature.
El-Said R. Lashin, Tarek F. Mersal
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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 Gutú, Jesús Á. Jaramillo
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The metric projection on C2 manifolds in Banach spaces
Journal of Approximation Theory, 1979 AbstractWe study the best approximation of a point x in a Banach space B from a C2 manifold. We derive a formula for the radius of curvature at points on the manifold and we use it to obtain a formula for the Frechet derivative of the metric projection onto the manifold.
Theagenis J. Abatzoglou
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Bundles of acceleration on Banach manifolds [PDF]
Nonlinear Analysis: Theory, Methods & Applications, 2005 Abstract We consider an infinite-dimensional manifold M modelled on a Banach space E and we construct smooth fiber bundle structures on the tangent bundle of order two T 2 M , which consists of all smooth curves of M that agree up to their acceleration, as well as on the corresponding second-order frame bundle L 2 M ...
C. T. J. Dodson, George Galanis
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On the disc-convexity of complex Banach manifolds [PDF]
Annales Polonici Mathematici, 1998 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Do Duc Thai, Nguyễn Thị Thu Hương
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Symplectic structures on Banach manifolds [PDF]
Bulletin of the American Mathematical Society, 1969 Alan Weinstein
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