Minimizer of an isoperimetric ratio on a metric on $${\mathbb {R}}^2$$ R2 with finite total area
Abstract Let $$g=(g_{ij})$$ g=(gij) be a complete Riemmanian metric on $${\mathbb {R}}^2$$ R2 with finite total area and let $$I_g$$ Ig be the infimum of the quotient of the length of any closed simple curve $$\gamma $$ γ in $${\mathbb {R}}^2$$ R2 and the sum of the reciprocal of the areas of the re...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
World Scientific Publishing
2018-09-01
|
| Series: | Bulletin of Mathematical Sciences |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/s13373-018-0131-3 |