Results 51 to 60 of about 363,931 (208)
Integrability of weak distributions on Banach manifolds [PDF]
This paper concerns the problem of integrability of non closed distributions on Banach manifolds. We introduce the notion of weak distribution and we look for conditions under which these distributions admit weak integral submanifolds. We give some applications to Banach Lie algebroid and Banach Lie-Poisson manifold.
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Vitali properties of Banach analytic manifolds [PDF]
29 ...
Nguyen Van Khue +2 more
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Constrained extremal solutions of multi-valued linear inclusions in Banach spaces
Let X and Y be Banach spaces, L be a linear manifold in X × Y $X\times Y$ , or, equivalently, the graph of a multi-valued linear operator from X to Y, and let S be a prescribed hyperplane in X, i.e. S = g + N $S=g+N$ .
Zi Wang, Boying Wu, Yuwen Wang
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Persistence modules, symplectic Banach–Mazur distance and Riemannian metrics [PDF]
We use persistence modules and their corresponding barcodes to quantitatively distinguish between different fiberwise star-shaped domains in the cotangent bundle of a fixed manifold. The distance between two fiberwise star-shaped domains is measured by a
Vukavsin Stojisavljevi'c, Jun Zhang
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Observational Banach Manifolds
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 Automorphism Group of a Banach Principal Bundle with {1}-structure
A {1}-structure on a Banach manifold M (with model space E) is an E-valued 1-form on M that induces on each tangent space an isomorphism onto E. Given a Banach principal bundle P with connected base space and a {1}-structure on P, we show that its ...
Klotz, Michael
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Nonparametric Information Geometry [PDF]
The differential-geometric structure of the set of positive densities on a given measure space has raised the interest of many mathematicians after the discovery by C.R. Rao of the geometric meaning of the Fisher information.
A. Ambrosetti +43 more
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Background. The area formulae are well known for surfaces embedded into a finite-dimensional Euclidean space. However, in the case of an infinite-dimensional Banach manifold, such formulae cannot be used.
Kateryna V. Moravetska
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On the Dirac–Frenkel Variational Principle on Tensor Banach Spaces [PDF]
The main goal of this paper is to extend the so-called Dirac–Frenkel variational principle in the framework of tensor Banach spaces. To this end we observe that a tensor product of normed spaces can be described as a union of disjoint connected ...
A. Falcó, W. Hackbusch, A. Nouy
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