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Showing 1 to 3 of 3 for “"isometry groups"”.
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Geometric aspects of gauge and spacetime symmetries
… role; in all cases geometric properties of Lie groups and their quotients are related to physical effects. The first part is concerned with symmetries in gravity. We apply the theory of Lie group deformations to isometry groups of exact solutions in general relativity, relating the algebraic …
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Dynamics of Polish groups
… our result, we give a characterization of Polish groups of isometries of locally compact separable metric spaces which may be of independent interest. The solution to Hilbert’s fifth problem plays an important role in establishing this characterization. This work is joint with Sławomir Solecki. …
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Homogeneous spaces with the cohomology of sphere products and compact quadrangles
… proof for the structure of compact connected Lie groups acting transitively on spaces with the rational homotopy of a product of a 1-sphere and a (m+1)-sphere. Since a quotient of a homogeneous space with the same rational homotopy or cohomology as a product of a 1-sphere and a (m+1)-sphere is not …