On perturbations of the DN map of a disk causing changes of surface topology
Dmitrii Korikov
Abstract
We establish the degeneration of the Schottky double of a genus 1 Riemann surface with boundary as its DN map tends to the DN map of the unit disk.
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On perturbations of the DN map of a disk causing changes of surface topology
Authors
Abstract
We establish the degeneration of the Schottky double of a genus 1 Riemann surface with boundary as its DN map tends to the DN map of the unit disk.
Paper Structure
This paper contains 1 theorem, 32 equations, 1 figure.
Key Result
Proposition 1
Let ${\rm gen}(M)=1$. Then $l_1(X)\to 0$ as $\Lambda\to|\partial_\varphi|$ in $\mathbb{B}$.
Figures (1)
- Figure 1: Different types of degeneration of $(X,{\rm h})$.
Theorems & Definitions (2)
- Proposition 1
- proof