Every covering of a compact Riemann surface of genus greater than one carries a nontrivial L2 harmonic differential
Open Access
- 1 January 1984
- journal article
- Published by International Press of Boston in Acta Mathematica
- Vol. 152 (1) , 49-56
- https://doi.org/10.1007/bf02392190
Abstract
Research supported in part by the National Science Foundation Grant No. MCS8024276 and by the Sloan Fellowship.Keywords
This publication has 9 references indexed in Scilit:
- The structure of complete stable minimal surfaces in 3‐manifolds of non‐negative scalar curvatureCommunications on Pure and Applied Mathematics, 1980
- On the Hodge theory of Riemannian pseudomanifoldsPublished by American Mathematical Society (AMS) ,1980
- Prolongements analytiques au sens de RiemannBulletin de la Société Mathématiques de France, 1979
- Behavior of diffusion semi-groups at infinityBulletin de la Société Mathématiques de France, 1974
- The Conformal Group of a Plane DomainAmerican Journal of Mathematics, 1968
- Riemann SurfacesPublished by Walter de Gruyter GmbH ,1960
- Open Riemann surfaces and extremal problems on compact subregionsCommentarii Mathematici Helvetici, 1950
- On a Metric Property of Fuchsian GroupsProceedings of the National Academy of Sciences, 1935
- Zur Theorie der ÜberlagerungsflächenActa Mathematica, 1935