Caculus of Variation and the $L^{2}$-Bergman Metric on Teichmüller Space

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/102074The canonical metric on a Riemann surface is the pullback from the Euclidean metric on the Jacobian variety via the period map. We study its induced L^2 metric on Teichmuller space via a variational approach.16 pages. A missing reference addedDifferential GeometryComplex Variables32G15; 53C21; 30F60Caculus of Variation and the $L^{2}$-Bergman Metric on Teichmüller Spacetext