Riemannian Geometry of Contact and Symplectic Manifolds

This monograph deals with the Riemannian geometry of both symplectic and contact manifolds, with particular emphasis on the latter The text is carefully presented Topics unfold systematically from Chapter 1, which examines the general theory of symplectic manifolds Principal circle bundles (Chapter 2) are then discussed as a prelude to the Boothby--Wang fibration of a compact regular contact manifold in Chapter 3, which deals with the general theory of contact manifolds Chapter 4 focuses on the general setting of Riemannian metrics associated with both symplectic and contact structures, and Chapter 5 is devoted to integral submanifolds of the contact subbundle Topics treated in the subsequent chapters include…