Isometries of a function space

Nonlinear realization of supersymmetric AdS space isometries

The Group of Isometries of a Banach Space and Duality

We construct an example of a real Banach space whose group of surjective isometries has no uniformly continuous one-parameter semigroups, but the group of surjective isometries of its dual contains infinitely many of them. Other examples concerning numerical index, hermitian operators and dissipative operators are also shown.

2 00 4 Isometries of a D 3 - brane space

We obtain the Killing equations and the corresponding infinitesimal isometries for the ten dimensional space generated by a large number of coincident D3-branes. In a convenient limit this space becomes an AdS5 × S 5 which is relevant for the AdS/CFT correspondence. In this case, using Poincaré coordinates, we also write down the Killing equations and infinitesimal isometries. Then we obtain a ...

Harmonic Rough Isometries into Hadamard Space

§0 Introduction. In a paper of Wan [W], he proved that for each holomorphic quadratic differential defined on the Euclidean 2-disk, D, there exists a harmonic diffeomorphism from the real hyperbolic plane H R into itself, such that its Hopf differential is the given holomorphic quadratic differential after representing H R by the Poincaré model. In addition, he also proved that this corresponde...

On Intrinsic Isometries to Euclidean Space

Compact metric spaces that admit intrinsic isometries to the Euclidean d-space are considered. Roughly, the main result states that the class of such spaces coincides with the class of inverse limits of Euclidean d-polyhedra. §