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Contact manifolds, contact structures, contact forms, Reeb dynamics, Legendrian knots, contact homology, symplectic field theory
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$S^3$ as a Sasakian Manifold
I will answer your question for $S^{2n+1}$, since there is no difference between the case $n=1$ and the case of general $n$.
Let $(M^{2n+1},g,\theta)$ be a Sasakian manifold. One definition of a Sas …