Complex, contact and symmetric manifolds

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This volume explores the interrelations between curvature and geometry in Riemannian manifolds, featuring research and survey articles from the International Congress "Curvature in Geometry," held in Lecce, Italy, in June 2003, honoring Lieven Vanhecke for his contributions to mathematics. It highlights recent developments and research trends in Riemannian geometry, a field where Vanhecke's influence is significant. Contributors include notable researchers such as Blair, Borisenko, Calvaruso, Cortes, Djoric, Ferrarotti, Garcia-Rio, Gilkey, Gil-Medrano, Gonzàles Dàvila, Hajkova, Huckleberry, Kowalski, Nagy, Naveira, Okumura, Sekigawa, Terng, Tsukada, and Wolf. The book appeals to graduate students and researchers in various geometry disciplines. Topics covered include totally geodesic decomposition of Lie groups, curvature of contact metric manifolds, rigidity of Hadamard manifolds, pluriharmonic maps, Goldberg conjecture, Jacobi fields on homogeneous Riemannian manifolds, and the geometry of surfaces and integrable systems. It also addresses the shape operator of CR submanifolds and the total curvatures of geodesic spheres, among others, providing a comprehensive overview of current research in the field.