Spectral Properties of a Family of Minimal Tori of Revolution in the Five-dimensional Sphere
Canadian mathematical bulletin, Tome 58 (2015) no. 2, pp. 285-296
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The normalized eigenvalues ${{\Lambda }_{i}}\left( M,\,g \right)$ of the Laplace–Beltrami operator can be considered as functionals on the space of all Riemannian metrics $g$ on a fixed surface $M$ . In recent papers several explicit examples of extremal metrics were provided. These metrics are induced by minimal immersions of surfaces in ${{\mathbb{S}}^{3}}$ or ${{\mathbb{S}}^{4}}$ . In this paper a family of extremal metrics induced by minimal immersions in ${{\mathbb{S}}^{5}}$ is investigated.
Karpukhin, Mikhail. Spectral Properties of a Family of Minimal Tori of Revolution in the Five-dimensional Sphere. Canadian mathematical bulletin, Tome 58 (2015) no. 2, pp. 285-296. doi: 10.4153/CMB-2015-006-0
@article{10_4153_CMB_2015_006_0,
author = {Karpukhin, Mikhail},
title = {Spectral {Properties} of a {Family} of {Minimal} {Tori} of {Revolution} in the {Five-dimensional} {Sphere}},
journal = {Canadian mathematical bulletin},
pages = {285--296},
year = {2015},
volume = {58},
number = {2},
doi = {10.4153/CMB-2015-006-0},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2015-006-0/}
}
TY - JOUR AU - Karpukhin, Mikhail TI - Spectral Properties of a Family of Minimal Tori of Revolution in the Five-dimensional Sphere JO - Canadian mathematical bulletin PY - 2015 SP - 285 EP - 296 VL - 58 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2015-006-0/ DO - 10.4153/CMB-2015-006-0 ID - 10_4153_CMB_2015_006_0 ER -
%0 Journal Article %A Karpukhin, Mikhail %T Spectral Properties of a Family of Minimal Tori of Revolution in the Five-dimensional Sphere %J Canadian mathematical bulletin %D 2015 %P 285-296 %V 58 %N 2 %U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2015-006-0/ %R 10.4153/CMB-2015-006-0 %F 10_4153_CMB_2015_006_0
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