Results 1 to 10 of about 350,128 (170)
Morse theory on Banach manifolds [PDF]
Bulletin of the American Mathematical Society, 1972 AbstractLet ƒ be a C2 function on a C2 Banach manifold. A critical point x of ƒ is said to be weakly nondegenerate if there exists a neighborhood U of x and a hyperbolic linear isomorphism Lx: Tx(M) → Tx(M) such that in the coordinate system of U, dƒx + v(Lxv) > 0 if v ≠ 0.
Karen K. Uhlenbeck
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Rough integrators on Banach manifolds [PDF]
Bulletin des Sciences Mathématiques, 2014 We introduce a notion of p-rough integrator on any Banach manifolds, for any $p\geq 1$, which plays the role of weak geometric Holder p-rough paths in the usual Banach space setting. The awaited results on rough differential equations driven by such objects are proved, and a canonical representation is given if the manifold is equipped with a ...
I. Bailleul
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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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Observational Banach Manifolds [PDF]
, 2014 In this paper, the concept of selective real manifolds is extended. It is proved that the product of two selective Banach manifolds is a selective Banach manifold. The notion of the $ $--level differentiation of the mappings between selective Banach manifolds is presented. Basic properties of $(r, )$--differentiable maps are studied.
Mehrpoya, Mohammad, Molaei, Mohammadreza
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The Banach manifold C(M,N) [PDF]
Differential Geometry and its Applications, 2019 Let $M$ be a closed manifold and let $N$ be a connected manifold without boundary. For each $k\in\mathbb{N}$ the set of $k$ times continuously differentiable maps between $M$ and $N$ has the structure of a smooth Banach manifold where the underlying manifold topology is the compact-open $C^k$ topology.
Johannes Wittmann
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Integrability on Direct Limits of Banach Manifolds [PDF]
Annales de la Faculté des sciences de Toulouse : Mathématiques, 2019 — 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
P. Cabau, F. Pelletier
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Group actions on chains of Banach manifolds and applications to fluid dynamics [PDF]
, 2006 This paper presents the theory of non-smooth Lie group actions on chains of Banach manifolds. The rigorous functional analytic spaces are given to deal with quotients of such actions. A hydrodynamical example is studied in detail.
F. Gay‐Balmaz, T. Ratiu
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Hereditary Ball-Covers for Some Banach Manifolds [PDF]
Proceedings of the American Mathematical Society, 1972 At a problem seminar in Ithaca, New York, during January 1969, James Eells raised the question (numbered 33 on the circulated list) of whether a paracompact Fréchet manifold admits a locally finite cover by open sets, all of whose intersections are contractible.
James E. West
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Regulated curves on a Banach manifold and singularities of endpoint map. I. Banach manifold structure [PDF]
Differential Geometry and its Applications, 2021 26 ...
Goliński, Tomasz, Pelletier, Fernand
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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–Rashevsky Theorem for exact controllability, and give conditions for the existence of a Hamiltonian geodesic flow despite the lack of a ...
S. Arguillère
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