Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Global differential geometry --- Géométrie différentielle globale --- Symmetric spaces --- Espaces symétriques --- Géométrie différentielle globale --- Espaces symétriques

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Global differential geometry --- Géométrie différentielle globale --- Symmetric spaces --- Espaces symétriques --- Géométrie différentielle globale --- Espaces symétriques

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

"Manifolds with fibered cusps are a class of complete non-compact Riemannian manifolds including many examples of locally symmetric spaces of rank one. We study the spectrum of the Hodge Laplacian with coefficients in a flat bundle on a closed manifold undergoing degeneration to a manifold with fibered cusps. We obtain precise asymptotics for the resolvent, the heat kernel, and the determinant of the Laplacian. Using these asymptotics we obtain a topological description of the analytic torsion on a manifold with fibered cusps in terms of the R-torsion of the underlying manifold with boundary"--

Riemannian manifolds. --- Symmetric spaces. --- Torsion theory (Algebra) --- Riemann, Variétés de --- Espaces symétriques --- Torsion, Théorie de la (algèbre) --- Resolvents (Mathematics) --- Heat equation. --- Kernel functions. --- Surfaces, Algebraic --- Surgery (Topology) --- Degenerations.

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Ordered algebraic structures --- Exceptional Lie algebras --- Hermitian symmetric spaces --- Spaces, Hermitian symmetric --- Symmetric Hermitian spaces --- Symmetric spaces, Hermitian --- Complex manifolds --- Lie algebras, Exceptional --- Lie algebras --- Exceptional Lie algebras. --- Lie, Algèbres de. --- Hermitian symmetric spaces. --- Espaces symétriques hermitiens.

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This monograph treats an extensively developed field in modern mathematical physics - the theory of generalized coherent states and their applications to various physical problems. Coherent states, introduced originally by Schrodinger and von Neumann, were later employed by Glauber for a quantal description of laser light beams. The concept was generalized by the author for an arbitrary Lie group. In the last decade the formalism has been widely applied to various domains of theoretical physics and mathematics. The area of applications of generalized coherent states is very wide, and a comprehensive exposition of the results in the field would be helpful. This monograph is the first attempt toward this aim. My purpose was to compile and expound systematically the vast amount of material dealing with the coherent states and available through numerous journal articles. The book is based on a number of undergraduate and postgraduate courses I delivered at the Moscow Physico-Technical Institute. In its present form it is intended for professional mathematicians and theoretical physicists; it may also be useful for university students of mathematics and physics. In Part I the formalism is elaborated and explained for some of the simplest typical groups. Part II contains more sophisticated material; arbitrary Lie groups and symmetrical spaces are considered. A number of examples from various areas of theoretical and mathematical physics illustrate advantages of this approach, in Part III.

Coherent states --- Lie groups --- Symmetric spaces --- Mathematical physics --- Groupes de Lie --- Espaces symétriques --- Physique mathématique --- Coherent states. --- Lie groups. --- Mathematical physics. --- Symmetric spaces. --- Espaces symétriques --- Physique mathématique --- Cohérence (physique nucléaire) --- Lie, Groupes de --- Cohérence (physique nucléaire)