Riemannian Geometry of Contact and Symplectic Manifolds (eBook, PDF)
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Monograph dealing with the Riemannian geometry of both symplectic and contact manifolds, with particular emphasis on the latter. Carefully presented topics unfold systematically from Chapter 1, which examines the general theory of symplectic manifolds. Main topics covered include: principal circle bundles, the general theory of contact manifolds, the general setting of Riemannian metrics associated with both symplectic and contact structures, integral submanifolds of the contact subbundle. Serves both as a general reference for mathematicians, and as an excellent resource for graduate students...
Monograph dealing with the Riemannian geometry of both symplectic and contact manifolds, with particular emphasis on the latter. Carefully presented topics unfold systematically from Chapter 1, which examines the general theory of symplectic manifolds. Main topics covered include: principal circle bundles, the general theory of contact manifolds, the general setting of Riemannian metrics associated with both symplectic and contact structures, integral submanifolds of the contact subbundle. Serves both as a general reference for mathematicians, and as an excellent resource for graduate students in the Riemannian geometric arena.
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