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This volume contains research and survey articles by well known and respected mathematicians on differential geometry and topology that have been collected and dedicated in honor of Lieven Vanhecke, as a tribute to his many fruitful and inspiring contributions to these fields. The papers, all written with the necessary introductory and contextual material, describe recent developments and research trends in spectral geometry, the theory of geodesics and curvature, contact and symplectic geometry, complex geometry, algebraic topology, homogeneous and symmetric spaces, and various applications of partial differential equations and differential systems to geometry. One of the key strengths of these articles is their appeal to non-specialists, as well as researchers and differential geometers. Contributors: D.E. Blair; E. Boeckx; A.A. Borisenko; G. Calvaruso; V. Cortés; P. de Bartolomeis; J.C. Díaz-Ramos; M. Djoric; C. Dunn; M. Fernández; A. Fujiki; E. García-Río; P.B. Gilkey; O. Gil-Medrano; L. Hervella; O. Kowalski; V. Muñoz; M. Pontecorvo; A.M. Naveira; T. Oguro; L. Schäfer; K. Sekigawa; C-L. Terng; K. Tsukada; Z. Vlášek; E. Wang; and J.A. Wolf.

Algebraic topology --- Geometry --- Differential geometry. Global analysis --- Differential topology --- Topological groups. Lie groups --- geometrie --- topologie (wiskunde) --- topologie --- differentiaal geometrie --- Manifolds (Mathematics) --- Riemannian manifolds. --- Geometry, Differential. --- Differential topology. --- Variétés (Mathématiques) --- Riemann, Variétés de --- Géométrie différentielle --- Topologie différentielle --- EPUB-LIV-FT SPRINGER-B LIVMATHE --- Geometry, Differential --- Riemannian manifolds --- 514.7 --- 514.7 Differential geometry. Algebraic and analytic methods in geometry --- Differential geometry. Algebraic and analytic methods in geometry --- Manifolds, Riemannian --- Riemannian space --- Space, Riemannian --- Topology --- Differential geometry --- Geometry. --- Global differential geometry. --- Global analysis (Mathematics) --- Topological Groups. --- Algebraic topology. --- Cell aggregation --- Differential Geometry. --- Global Analysis and Analysis on Manifolds. --- Topological Groups, Lie Groups. --- Algebraic Topology. --- Manifolds and Cell Complexes (incl. Diff.Topology). --- Analysis, Global (Mathematics) --- Functions of complex variables --- Geometry, Algebraic --- Groups, Topological --- Continuous groups --- Aggregation, Cell --- Cell patterning --- Cell interaction --- Microbial aggregation --- Mathematics --- Euclid's Elements --- Mathematics. --- Differential geometry. --- Global analysis (Mathematics). --- Manifolds (Mathematics). --- Topological groups. --- Lie groups. --- Complex manifolds. --- Analytic spaces --- Groups, Lie --- Lie algebras --- Symmetric spaces --- Topological groups