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Energy distribution of harmonic 1-forms and Jacobians of Riemann surfaces with a short closed geodesic. (arXiv:1810.05259v1 [math.DG])
来源于:arXiv
We study the energy distribution of harmonic 1-forms on a compact hyperbolic
Riemann surface $S$ that has a small separating closed geodesic. The result is
applied to the question how close the Jacobian torus of $S$ comes to a torus
that splits. The aim is to answer this and related questions in terms of
geometric data of $S$ such as its injectivity radius and the lengths of
geodesics that form a homology basis. This is version 1 of an extended paper in
which also non separating small geodesics are considered. 查看全文>>