Results 21 to 30 of about 24,818 (197)
Lie transformation groups of Banach manifolds [PDF]
Journal of Differential Geometry, 1971 Ottmar Loos
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Integrability on Direct Limits of Banach Manifolds [PDF]
Annales de la Faculté des sciences de Toulouse : Mathématiques, 2020 In this paper, we study several objects in the framework of direct limits of anchored Banach bundles over particular convenient manifolds (direct limits of Banach manifolds). 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.
Patrick Cabau, Fernand Pelletier
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Sub-Riemannian Geometry and Geodesics in Banach Manifolds [PDF]
The Journal of Geometric Analysis, 2019 In this paper, we define and study sub-Riemannian structures on Banach manifolds. We obtain extensions of the Chow-Rashevski theorem for exact controllability, and give conditions for the existence of a Hamiltonian geodesic flow despite the lack of a Pontryagin Maximum Principle in the infinite dimensional setting.
Sylvain Arguillère
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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).
Gutú, Olivia, Jaramillo, Jesús A.
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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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On hypersurfaces in a locally affine Riemannian Banach manifold II
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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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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On the generalization of the Darboux theorem
Pracì Mìžnarodnogo Geometričnogo Centru, 2019 Darboux theorem to more general context of Frechet manifolds we face an obstacle: in general vector fields do not have local flows. Recently, Fr\'{e}chet geometry has been developed in terms of projective limit of Banach manifolds.
Kaveh Eftekharinasab
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Conjugacy of a Discrete Semidynamical System in a Neighbourhood of the Nontrivial Invariant Manifold
International Journal of Differential Equations, 2014 The conjugacy of a discrete semidynamical system and its partially decoupled discrete semidynamical system in a Banach space is proved in a neighbourhood of the nontrivial invariant manifold.
Andrejs Reinfelds
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