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Riemannian manifolds --- Global differential geometry. --- Lie groups. --- Riemannian manifolds.

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Infinite dimensional Lie algebras --- Riemannian manifolds --- Representations of algebras --- Flows (Differentiable dynamical systems) --- Low-dimensional topology

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Cartes harmoniques --- Harmonic maps --- Harmonische kaarten --- Inégalités variables (Mathématiques) --- Menigvuldigheden van Riemann --- Riemannian manifolds --- Variational inequalities (Mathematics) --- Variétés de Riemann --- Veranderlijke ongelijkheden (Wiskunde) --- Applications harmoniques --- Riemann, Variétés de --- Inégalités variationnelles --- 514.75 --- 517.97 --- Differential geometry in spaces with fundamental groups --- Calculus of variations. Mathematical theory of control --- Harmonic maps. --- Riemannian manifolds. --- Variational inequalities (Mathematics). --- 517.97 Calculus of variations. Mathematical theory of control --- 514.75 Differential geometry in spaces with fundamental groups --- Riemann, Variétés de --- Inégalités variationnelles

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Differential geometry. Global analysis --- Riemannian manifolds --- Monge-Ampère equations --- Riemann, Variétés de --- Monge-Ampère, Equations de --- Monge-Ampère equations --- Monge-Ampere equations --- Manifolds, Riemannian --- Riemannian space --- Space, Riemannian --- Geometry, Differential --- Manifolds (Mathematics) --- Equations, Monge-Ampère --- Differential equations, Partial --- Riemann, Variétés de --- Monge-Ampère, Equations de

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In algebraic topology some classical invariants - such as Betti numbers and Reidemeister torsion - are defined for compact spaces and finite group actions. They can be generalized using von Neumann algebras and their traces, and applied also to non-compact spaces and infinite groups. These new L2-invariants contain very interesting and novel information and can be applied to problems arising in topology, K-Theory, differential geometry, non-commutative geometry and spectral theory. It is particularly these interactions with different fields that make L2-invariants very powerful and exciting. The book presents a comprehensive introduction to this area of research, as well as its most recent results and developments. It is written in a way which enables the reader to pick out a favourite topic and to find the result she or he is interested in quickly and without being forced to go through other material

Invarianten --- Invariants --- Menigvuldigheden van Riemann --- Operators [Selfadjoint ] --- Riemannian manifolds --- Selfadjoint operators --- Variétés de Riemann --- Riemann, Variétés de --- Analyse multidimensionnelle --- Opérateurs auto-adjoints --- 512.7 --- Algebraic geometry. Commutative rings and algebras --- 512.7 Algebraic geometry. Commutative rings and algebras --- Riemann, Variétés de --- Opérateurs auto-adjoints --- Operators, Selfadjoint --- Self-adjoint operators --- Linear operators --- Manifolds, Riemannian --- Riemannian space --- Space, Riemannian --- Geometry, Differential --- Manifolds (Mathematics) --- Algebraic topology. --- Geometry. --- K-theory. --- Topology. --- Algebraic Topology. --- K-Theory. --- Analysis situs --- Position analysis --- Rubber-sheet geometry --- Geometry --- Polyhedra --- Set theory --- Algebras, Linear --- Algebraic topology --- Homology theory --- Mathematics --- Euclid's Elements --- Topology --- k-theory