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Displaying 21 – 36 of 36

On the geometry of the Virasoro-Bott group.

Michor, P.W., Ratiu, T.S. (1998)

Journal of Lie Theory

On the global stable manifold

Alberto Abbondandolo, Pietro Majer (2006)

Studia Mathematica

We give an alternative proof of the stable manifold theorem as an application of the (right and left) inverse mapping theorem on a space of sequences. We investigate the diffeomorphism class of the global stable manifold, a problem which in the general Banach setting gives rise to subtle questions about the possibility of extending germs of diffeomorphisms.

On the homotopical classification of DJ-mappings of infnitely dimensional spheres

Bogdan Przeradzki (1984)

Fundamenta Mathematicae

On the Kähler geometry of the Hilbert-Schmidt Grassmannian.

Osmo Pekonen (1989)

Manuscripta mathematica

On the Lie algebra of holomorphic infinitesimal isometries of some classical complex symmetric Banach manifolds

José Isidro (2007)

Open Mathematics

The Banach-Lie algebras ℌκ of all holomorphic infinitesimal isometries of the classical symmetric complex Banach manifolds of compact type (κ = 1) and non compact type (κ = −1) associated with a complex JB*-triple Z are considered and the Lie ideal structure of ℌκ is studied.

On the problem of classifying simple compact quantum groups

Shuzhou Wang (2012)

Banach Center Publications

We review the notion of simple compact quantum groups and examples, and discuss the problem of construction and classification of simple compact quantum groups.

On the quantum groups and semigroups of maps between noncommutative spaces

Maysam Maysami Sadr (2017)

Czechoslovak Mathematical Journal

We define algebraic families of (all) morphisms which are purely algebraic analogs of quantum families of (all) maps introduced by P. M. Sołtan. Also, algebraic families of (all) isomorphisms are introduced. By using these notions we construct two classes of Hopf-algebras which may be interpreted as the quantum group of all maps from a finite space to a quantum group, and the quantum group of all automorphisms of a finite noncommutative (NC) space. As special cases three classes of NC objects are...

On the radical of J*-triples.

Erhard Neher (1992)

Mathematische Zeitschrift

On the size of the sets of gradients of bump functions and starlike bodies on the Hilbert space

Daniel Azagra, Mar Jiménez-Sevilla (2002)

Bulletin de la Société Mathématique de France

We study the size of the sets of gradients of bump functions on the Hilbert space $ℓ_{2}$ , and the related question as to how small the set of tangent hyperplanes to a smooth bounded starlike body in $ℓ_{2}$ can be. We find that those sets can be quite small. On the one hand, the usual norm of the Hilbert space $ℓ_{2}$ can be uniformly approximated by $C^{1}$ smooth Lipschitz functions $ψ$ so that the cones generated by the ranges of its derivatives $ψ^{'} (ℓ_{2})$ have empty interior. This implies that there are $C^{1}$ smooth Lipschitz bumps...

On the structure of Hilbert cube manifolds

T. A. Chapman (1972)

Compositio Mathematica

On the Structure of Manifolds with positive Scalar Curvature.

S.T. Yau, R. Schoen (1979)

Manuscripta mathematica

On the structure of the set of curves bounding minimal surfaces of prescribed degeneracy.

Anthony J. Tromba, Friedrich Tomi (1980)

Journal für die reine und angewandte Mathematik

On the transverse Scalar Curvature of a Compact Sasaki Manifold

Weiyong He (2014)

Complex Manifolds

We show that the standard picture regarding the notion of stability of constant scalar curvature metrics in Kähler geometry described by S.K. Donaldson [10, 11], which involves the geometry of infinitedimensional groups and spaces, can be applied to the constant scalar curvature metrics in Sasaki geometry with only few modification. We prove that the space of Sasaki metrics is an infinite dimensional symmetric space and that the transverse scalar curvature of a Sasaki metric is a moment map of the...

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