Inverse spectral theory and the Minkowski problem for the surface of revolution
Mathematical Physics
2016-05-18 v1 math.MP
Spectral Theory
Abstract
We solve the inverse spectral problem for rotationally symmetric manifolds, which include the class of surfaces of revolution, by giving an analytic isomorphism from the space of spectral data onto the space of functions describing the radius of rotation. An analogue of the Minkowski problem is also solved.
Keywords
Cite
@article{arxiv.1605.05031,
title = {Inverse spectral theory and the Minkowski problem for the surface of revolution},
author = {Hiroshi Isozaki and Evgeny L. Korotyaev},
journal= {arXiv preprint arXiv:1605.05031},
year = {2016}
}
Comments
22 pages, 2 figures