Complex, Contact and Symmetric Manifolds In Honor of L. Vanhecke

This book is focused on the interrelations between the curvature and the geometry of Riemannian manifolds. It contains research and survey articles based on the main talks delivered at the International Congress "Curvature in Geometry", held in Lecce, Italy, June 11-14, 2003. The congress was organized in honor of Lieven Vanhecke, as a tribute to his many contributions to mathematics. The volume describesrecent developments and research trends in several relevant topics related to Riemannian geometry, the field in which the mathematical activity of L. Vanhecke is most fruitful and inspiring. Contributors include: Blair, D.; Borisenko, A.;Calvaruso, G.;Cortes, V.;Djoric, M.;Ferrarotti, M.;Garcia?Rio, E.;Gilkey, P.;Gil?Medrano, O.;Gonzàles Dàvila, C.;Hajkova, V.; Huckleberry, A.;Kowalski, O.;Nagy, P.; Naveira, A.;Okumura, M.; Sekigawa, K.;Terng, C.L.;Tsukada, K.;and Wolf, J. This bookwill appeal to graduate students and researchers in diverse areas of geometry. TOC:Nagy, P.:Totally geodesic decomposition of Lie group * Blair, D.:Curvature of Contact Metric Manifolds * Gilkey, P.: Curvature homogeneous pseudo-Riemannian manifolds of balanced signature (p,p) which are Osserman, Ivanon?Petrova and Szabo but which are not locally homogeneous (tentative title) * Ferrarotti, M.: Lipschits cone-like trivializations of isolated singularities * Borisenko, A.: Rigidity of Hadamard manifolds * Cortes, V.:Pluriharmonic maps, t*t equations and special Kaehler manifolds * Sekigawa, K.: Goldberg conjecture and related topics * Naveira, A.:Two problems in real and complex integral geometry * Terng, C.L.: Geometry of Surfaces and Integrable Systems *Gil?Medrano, O.:Volume and energy of vector fields and distributions: variational approach and examples * Hajkova, V.; Kowalski, O.:3-dimensional Riemannian manifolds with curvature restrictions * Gonzàles Dàvila, C.: Jacobi fields on homogeneous Riemannian manifolds * Tsukada, K.: Symmetric submanifolds of Riemannian symmetric spaces * Garcia?Rio, E.:Total survatures of geodesic spheres * Calvaruso, G.: Semi-Symmetric unit tangent bundles * Wolf, J.;Huckleberry, A.:Schubert fibrations of cycle domains * Djoric, M.;Okumura, M.:On the shape operator of CR submanifolds of maximal CR dimension