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
Similar Records
Some problems in the theory of approximation of functions on compact homogeneous manifolds
Classification of Ricci-flat metrics on the cotangent bundles of compact rank-one symmetric spaces
Design and convergence analysis of the conforming virtual element method for polyharmonic problems
Journal Article
·
Tue Jun 30 00:00:00 EDT 2009
· Sbornik. Mathematics
·
OSTI ID:22365850
Classification of Ricci-flat metrics on the cotangent bundles of compact rank-one symmetric spaces
Journal Article
·
Mon Feb 28 00:00:00 EST 2011
· Sbornik. Mathematics
·
OSTI ID:22365850
Design and convergence analysis of the conforming virtual element method for polyharmonic problems
Technical Report
·
Wed Sep 26 00:00:00 EDT 2018
·
OSTI ID:22365850