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Riemannian Hilbert Manifolds (Q4609947)

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scientific article; zbMATH DE number 6853338

Language	Label	Description	Also known as
English	Riemannian Hilbert Manifolds	scientific article; zbMATH DE number 6853338

Statements

scholarly article

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Riemannian Hilbert Manifolds (English)

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Leonardo Biliotti

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Francesco Mercuri

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Springer Proceedings in Mathematics & Statistics

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publication date

27 March 2018

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full work available at URL

https://arxiv.org/abs/1610.01527

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zbMATH Keywords

Riemannian Hilbert manifold

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Hopf-Rinow manifold

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Jacobi fields

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conjugate points

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MaRDI profile type

MaRDI publication profile

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The Hopf-Rinow Theorem is false in infinite Dimensions

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Properly discontinuous isometric actions on the unit sphere of infinite dimensional Hilbert spaces

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The exponential map of a weak Riemannian Hilbert manifold

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Properly discontinuous actions on Hilbert manifolds

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On the singularities of the exponential map in infinite dimensional Riemannian manifolds

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A note on tensor fields in Hilbert spaces

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Locally Symmetric Homogeneous Finsler Spaces

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Infinite dimensional Riemannian symmetric spaces with fixed-sign curvature operator

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The Hopf-Rinow theorem in infinite dimension

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Hilbert Manifolds Without Epiconjugate Points

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Geodesics in infinite dimensional Stiefel and Grassmann manifolds

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Riemannian center of mass and mollifier smoothing

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Curvatures of Sobolev metrics on diffeomorphism groups

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Geometry of diffeomorphism groups, complete integrability and geometric statistics

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Riemannian geometry

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Banach Symmetric Spaces

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The automorphism group of a Banach principal bundle with \{1\}-structure

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Approximation methods by regular functions

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Conjugate points in $\mathcal {D}_{\mu }(T^2)$

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The exponential map on the free loop space is Fredholm

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Exponential maps of Sobolev metrics on loop groups

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The exponential map near conjugate points in 2D hydrodynamics

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Fredholm properties of Riemannian exponential maps on diffeomorphism groups

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The Existence of Complete Riemannian Metrics

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Clifford Translations of Symmetric Spaces

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Morse theory on Hilbert manifolds

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Locally symmetric homogeneous spaces

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Homogeneity and bounded isometries in manifolds of negative curvature

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Identifiers

zbMATH Open document ID

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10.1007/978-981-10-5556-0_22

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:4609947

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