Results 11 to 20 of about 361,418 (224)
Differential Geometry and its Applications, 2021 26 ...
Tomasz Goliński, Fernand Pelletier
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The Banach manifold C(M,N) [PDF]
Differential Geometry and its Applications, 2018 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.
J. Wittmann
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The Banach manifold structure of the space of metrics on noncompact manifolds
Differential Geometry and its Applications, 1991 AbstractWe study the Ck-structure of the space of Riemannian metrics of bouded geometry on open manifolds, the group of bounded diffeomorphisms, its action and the factor space. Each component of the space of metrics has a natural Banach manifold structure and the group of bounded diffeomorphisms is a completely metrizable topological group.
J. Eichhorn
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On real analytic Banach manifolds [PDF]
Journal of the London Mathematical Society, 2008 Let $X$ be a real Banach space with an unconditional basis (e.g., $X=\ell_2$ Hilbert space), $\Omega\subset X$ open, $M\subset\Omega$ a closed split real analytic Banach submanifold of $\Omega$, $E\to M$ a real analytic Banach vector bundle, and ${\Cal A}
Patyi, Imre, Simon, Scott
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Morse theory on Banach manifolds [PDF]
Bulletin of the American Mathematical Society, 1970 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 Uhlenbeck
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The Semi-simplicity Manifold on Arbitrary Banach Spaces
Journal of Functional Analysis, 1995 For an arbitrary linear (possibly unbounded) operator A on a Banach space, with real spectrum, we construct a maximal continuously embedded Banach subspace on which this operator has a C l ( R ) functional calculus.
R. Delaubenfels, S. Kantorovitz
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A Deformed Exponential Statistical Manifold
Entropy, 2019 Consider μ a probability measure and P μ the set of μ -equivalent strictly positive probability densities. To endow P μ with a structure of a C ∞ -Banach manifold we use the φ ...
Francisca Leidmar Josué Vieira +3 more
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Symplectic structures on Banach manifolds [PDF]
Bulletin of the American Mathematical Society, 1969 Alan Weinstein
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A class of Hamilton-Jacobi equations on Banach-Finsler manifolds [PDF]
Nonlinear Analysis: Theory, Methods & Applications, 2014 The concept of subdifferentiability is studied in the context of $C^1$ Finsler manifolds (modeled on a Banach space with a Lipschitz $C^1$ bump function).
Jaramillo, J. A. +3 more
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On analytic manifolds belonging to a Banach algebra
Indagationes Mathematicae (Proceedings), 1969 AbstractA certain kind of analytic manifold belonging to a Banach algebra is introduced. These manifolds can always be embedded in principal extensions of Riemann surfaces.
S.T.M. Ackermans
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