Results 1 to 10 of about 361,418 (224)
Finite-dimensional complex manifolds on commutative Banach algebras and continuous families of compact complex manifolds [PDF]
Complex Manifolds, 2019 Let Γ(M) be the set of all global continuous cross sections of a continuous family M of compact complex manifolds on a compact Hausdorff space X. In this paper, we introduce a C(X)-manifold structure on Γ(M).
Yagisita Hiroki
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On hypersurfaces in a locally affine Riemannian Banach manifold [PDF]
International Journal of Mathematics and Mathematical Sciences, 2002 We prove that an essential hypersurface of second order 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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On complex Banach manifolds similar to Stein manifolds [PDF]
Comptes Rendus. Mathématique, 2010 We give an abstract definition, similar to the axioms of a Stein manifold, of a class of complex Banach manifolds in such a way that a manifold belongs to the class if and only if it is biholomorphic to a closed split complex Banach submanifold of a ...
Patyi, Imre
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Chaos and shadowing around a homoclinic tube [PDF]
Abstract and Applied Analysis, 2003 Let F be a C3 diffeomorphism on a Banach space B. F has a homoclinic tube asymptotic to an invariant manifold. Around the homoclinic tube, Bernoulli shift dynamics of submanifolds is established through a shadowing lemma. This work removes an uncheckable
Yanguang (Charles) Li
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On Sussmann theorem for orbits of sets of vector fields on Banach manifolds [PDF]
, 2011 The purpose of this paper is to give some generalizations, in the context of Banach mani- folds, of Sussmann's results about the orbits of families of vector fields ([Su]).
Arnauld Lathuille, Fernand Pelletier
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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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Journal of Inequalities and Applications, 2021 This article aims to introduce and analyze the viscosity method for hierarchical variational inequalities involving a ϕ-contraction mapping defined over a common solution set of variational inclusion and fixed points of a nonexpansive mapping on Hadamard
Doaa Filali +4 more
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Nonautonomous Dynamical Systems, 2021 The purpose of this informal paper is three-fold: First, filling a gap in the literature, we provide a (necessary and sufficient) principle of linearized stability for nonautonomous difference equations in Banach spaces based on the dichotomy spectrum ...
Pötzsche Christian, Russ Evamaria
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A construction of a nonparametric quantum information manifold [PDF]
, 2005 We present a construction of a Banach manifold on the set of faithful normal states of a von Neumann algebra, where the underlying Banach space is a quantum analogue of an Orlicz space.
Jencova, Anna
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Stability and Persistence of Synchronization in a System with a Diffusive-Time-Lag Coupling
Sultan Qaboos University Journal for Science, 2008 We study synchronization in the framework of invariant manifold theory for systems with a time lag. Normal hyperbolicity and its persistence in infinite dimensional dynamical systems in Banach spaces is applied to give general results on synchronization
Adu A.M. Wasike
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