Borah, Diganta and Haridas, Pranav and Verma, Kaushal (2018) Comments on the Green's function of a planar domain. In: ANALYSIS AND MATHEMATICAL PHYSICS, 8 (3). pp. 383-414.
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Official URL: http://dx.doi.org/10.1007/s13324-017-0177-5
Abstract
We study several quantities associated to the Green's function of a multiply connected domain in the complex plane. Among them are some intrinsic properties such as geodesics, curvature, and -cohomology of the capacity metric and critical points of the Green's function. The principal idea used is an affine scaling of the domain that furnishes quantitative boundary behaviour of the Green's function and related objects.
Item Type: | Journal Article |
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Publication: | ANALYSIS AND MATHEMATICAL PHYSICS |
Publisher: | SPRINGER BASEL AG, PICASSOPLATZ 4, BASEL, 4052, SWITZERLAND |
Additional Information: | Copy right for this article belong to SPRINGER BASEL AG, PICASSOPLATZ 4, BASEL, 4052, SWITZERLAND |
Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
Date Deposited: | 28 Aug 2018 15:20 |
Last Modified: | 28 Aug 2018 15:20 |
URI: | http://eprints.iisc.ac.in/id/eprint/60506 |
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