Results 191 to 200 of about 363,931 (208)

Integrability of singular distributions on Banach manifolds

Mathematical Proceedings of the Cambridge Philosophical Society, 1976
One of the key results in the work of the second author ((7), (8)) on integrability of systems of vectorfields is the theorem which relates integrability of a distribution to the concept of homogeneity. In this paper, we show that the homogeneity theorem also applies in an infinite-dimensional context, and this allows us to derive infinite-dimensional ...
Peter Stefan, D. R. J. Chillingworth
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Nijenhuis operators on Banach homogeneous spaces

Rendiconti Lincei - Matematica e Applicazioni
For a Banach–Lie group G and an embedded Lie subgroup K , we consider the homogeneous Banach manifold \mathcal{M}=G/K .
Tomasz Goli'nski, G. Larotonda, Alice Barbora Tumpach   +2 more
semanticscholar   +1 more source

Morse theory on Banach manifolds

Acta Mathematica Sinica, 1989
LetM be aC2-Finsler manifold modeled on a Banach space, and letf be aC2-real-valued function defined onM. Using theA-gradient vector field which was introduced in [31] we give a suitable definition for nondegenegacy of critical points off, then generalize the Morse handle-body decomposition theorem and the Morse inequalities to a kind of Banach ...
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Integral stable manifolds in Banach spaces

Journal of the London Mathematical Society, 2008
AbstractWe establish the existence of smooth integral stable manifolds for sufficiently small perturbations of nonuniform exponential dichotomies in Banach spaces. We also consider the case of a nonautonomous dynamics given by a sequence of C1 maps.
Luis Barreira, César M. Silva, Claudia Valls   +2 more
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A Cartan–Hadamard Theorem for Banach–Finsler Manifolds

Geometriae Dedicata, 2002
This paper is concerned with the studies of a Banach-Finsler manifold \(( M, b, F)\) modelled over the Banach manifold \(M\), equipped with a compatible tangent norm \(b\) and a spray \(F\), which have a seminegative curvature in the sense that corresponding exponential map has a surjective expansive differential in every point [see \textit{S.
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On Quasicenter Manifolds of Semilinear Equations in Banach Spaces

Mathematische Nachrichten, 1985
In the usual proof of the existence of a center manifold through an equilibrium point of an autonomous semilinear differential equation one needs a \(C^ 1\) bump function on a subspace of the Banach space (called property \(P_ 1\) here). Not every Banach space admits a \(C^ 1\) bump function.
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Differentiable Closed Embeddings of Banach Manifolds

1970
In this paper a manifold X is a C k -manifold which is paracompact, normal, separable, and of differentiability class k, modelled on a separable Banach space B, whose norm is a k-times continuously differentiable function outside 0∈B, k≦ ∞. B with that norm is called a C k -Banach space.
Besseline Terpstra-Keppler, Nicolaas H. Kuiper   +1 more
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Conic Sub-Hilbert–Finsler Structure on a Banach Manifold

Trends in Mathematics, 2019
F. Pelletier
semanticscholar   +1 more source

A criterion for Banach manifolds to be finite-dimensional

Ukrainian Mathematical Journal, 1995
We extend the results obtained in [1] to the case of arbitrary Banach spaces and manifolds. We give an example of a continuous bijective mapping with discontinuous inverse which acts in a Banach space and differs from the identical mapping only in an open unit ball.
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Embeddings of non-Archimedean Banach manifolds in non-Archimedean Banach spaces

Russian Mathematical Surveys, 1998
Let \(H\) be a Banach space over a non-Archimedean field \(K\). An ultrametrizable space \(M\) is called a manifold modelled on \(H\) if an atlas \(At(M)= \{(U_b, f_b): b\in A\}\) is chosen for \(M\) with charts \((U_b,f_b)\) such that \(f_b: U_b\to V_b\) are homeomorphisms, \(U_b\) are open in \(M\), \(V_b\) are open in \(H\) and \(\bigcup_b U_b= M\).
openaire   +3 more sources