Spectral properties of bipolar surfaces to Otsuki tori
Differential Geometry
2014-07-22 v2 Spectral Theory
Abstract
The -th eigenvalue of the Laplace-Beltrami operator on a surface can be considered as a functional on the space of all Riemannian metrics of unit volume on this surface. Surprisingly only few examples of extremal metrics for these functionals are known. In the present paper a new countable family of extremal metrics on the torus is provided.
Keywords
Cite
@article{arxiv.1205.6316,
title = {Spectral properties of bipolar surfaces to Otsuki tori},
author = {Mikhail A. Karpukhin},
journal= {arXiv preprint arXiv:1205.6316},
year = {2014}
}
Comments
arXiv admin note: text overlap with arXiv:1108.5160 by other authors. References added