Analytic and Geometric Study of Stratified Spaces - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Analytic and Geometric Study of Stratified Spaces write by Markus J. Pflaum. This book was released on 2003-07-01. Analytic and Geometric Study of Stratified Spaces available in PDF, EPUB and Kindle. The book provides an introduction to stratification theory leading the reader up to modern research topics in the field. The first part presents the basics of stratification theory, in particular the Whitney conditions and Mather's control theory, and introduces the notion of a smooth structure. Moreover, it explains how one can use smooth structures to transfer differential geometric and analytic methods from the arena of manifolds to stratified spaces. In the second part the methods established in the first part are applied to particular classes of stratified spaces like for example orbit spaces. Then a new de Rham theory for stratified spaces is established and finally the Hochschild (co)homology theory of smooth functions on certain classes of stratified spaces is studied. The book should be accessible to readers acquainted with the basics of topology, analysis and differential geometry.
Analytic and Geometric Study of Stratified Spaces
Analytic and Geometric Study of Stratified Spaces - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Analytic and Geometric Study of Stratified Spaces write by Markus J. Pflaum. This book was released on 2014-01-15. Analytic and Geometric Study of Stratified Spaces available in PDF, EPUB and Kindle.
Means of Hilbert Space Operators
Means of Hilbert Space Operators - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Means of Hilbert Space Operators write by Fumio Hiai. This book was released on 2002. Means of Hilbert Space Operators available in PDF, EPUB and Kindle.
Hamiltonian Reduction by Stages
Hamiltonian Reduction by Stages - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Hamiltonian Reduction by Stages write by Jerrold E. Marsden. This book was released on 2007-06-05. Hamiltonian Reduction by Stages available in PDF, EPUB and Kindle. This volume provides a detailed account of the theory of symplectic reduction by stages, along with numerous illustrations of the theory. It gives special emphasis to group extensions, including a detailed discussion of the Euclidean group, the oscillator group, the Bott-Virasoro group and other groups of matrices. The volume also provides ample background theory on symplectic reduction and cotangent bundle reduction.
Uniqueness Theorems for Variational Problems by the Method of Transformation Groups
Uniqueness Theorems for Variational Problems by the Method of Transformation Groups - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Uniqueness Theorems for Variational Problems by the Method of Transformation Groups write by Wolfgang Reichel. This book was released on 2004-05-13. Uniqueness Theorems for Variational Problems by the Method of Transformation Groups available in PDF, EPUB and Kindle. A classical problem in the calculus of variations is the investigation of critical points of functionals {\cal L} on normed spaces V. The present work addresses the question: Under what conditions on the functional {\cal L} and the underlying space V does {\cal L} have at most one critical point? A sufficient condition for uniqueness is given: the presence of a "variational sub-symmetry", i.e., a one-parameter group G of transformations of V, which strictly reduces the values of {\cal L}. The "method of transformation groups" is applied to second-order elliptic boundary value problems on Riemannian manifolds. Further applications include problems of geometric analysis and elasticity.
