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Full Description
* Contains research and survey articles by well known and respected mathematicians on recent developments and research trends in differential geometry and topology * Dedicated in honor of Lieven Vanhecke, as a tribute to his many fruitful and inspiring contributions to these fields * Papers include all necessary introductory and contextual material to appeal to non-specialists, as well as researchers and differential geometers
Contents
Curvature of Contact Metric Manifolds.- A Case for Curvature: the Unit Tangent Bundle.- Convex Hypersurfaces in Hadamard Manifolds.- Contact Metric Geometry of the Unit Tangent Sphere Bundle.- Topological-antitopological Fusion Equations, Pluriharmonic Maps and Special Kähler Manifolds.- ?2 and ?-Deformation Theory for Holomorphic and Symplectic Manifolds.- Commutative Condition on the Second Fundamental Form of CR-submanifolds of Maximal CR-dimension of a Kähler Manifold.- The Geography of Non-Formal Manifolds.- Total Scalar Curvatures of Geodesic Spheres and of Boundaries of Geodesic Disks.- Curvature Homogeneous Pseudo-Riemannian Manifolds which are not Locally Homogeneous.- On Hermitian Geometry of Complex Surfaces.- Unit Vector Fields that are Critical Points of the Volume and of the Energy: Characterization and Examples.- On 3D-Riemannian Manifolds with Prescribed Ricci Eigenvalues.- Two Problems in Real and Complex Integral Geometry.- Notes on the Goldberg Conjecture in Dimension Four.- Curved Flats, Exterior Differential Systems, and Conservation Laws.- Symmetric Submanifolds of Riemannian Symmetric Spaces and Symmetric R-spaces.- Complex Forms of Quaternionic Symmetric Spaces.
