This paper describes the intrinsic geometry of a leaf A(L) of the absolute period foliation of the Hodge bundle Omega(M) over bar (g) : its singular Euclidean structure, its natural foliations, and its discretized Teichmuller dynamics. We establish metric completeness of A(L) for general g and then turn to a study of the case g = 2. In this case the Euclidean structure comes from a canonical meromorphic quadratic differential on A(L) congruent to H whose zeros, poles, and exotic trajectories are analyzed in detail.
展开▼
