Nonmaximality of known extremal metrics on torus and Klein bottle
Journal Article
·
· Sbornik. Mathematics
- M. V. Lomonosov Moscow State University, Moscow (Russian Federation)
The El Soufi-Ilias theorem establishes a connection between minimal submanifolds of spheres and extremal metrics for eigenvalues of the Laplace-Beltrami operator. Recently, this connection was used to provide several explicit examples of extremal metrics. We investigate the properties of these metrics and prove that none of them is maximal. Bibliography: 24 titles.
- OSTI ID:
- 22365850
- Journal Information:
- Sbornik. Mathematics, Vol. 204, Issue 12; Other Information: Country of input: International Atomic Energy Agency (IAEA); ISSN 1064-5616
- Country of Publication:
- United States
- Language:
- English
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