Two-dimensional manifolds with metrics of revolution
Journal Article
·
· Sbornik. Mathematics
- M.V. Lomonosov Moscow State University, Moscow (Russian Federation)
This is a study of the topological and metric structure of two-dimensional manifolds with a metric that is locally a metric of revolution. In the case of compact manifolds this problem can be thoroughly investigated, and in particular it is explained why there are no closed analytic surfaces of revolution in R{sup 3} other than a sphere and a torus (moreover, in the smoothness class C{sup {infinity}} such surfaces, understood in a certain generalized sense, exist in any topological class)
- OSTI ID:
- 21202960
- Journal Information:
- Sbornik. Mathematics, Vol. 191, Issue 10; Other Information: DOI: 10.1070/SM2000v191n10ABEH000517; Country of input: International Atomic Energy Agency (IAEA); ISSN 1064-5616
- Country of Publication:
- United States
- Language:
- English
Similar Records
Infinitesimal and global rigidity and inflexibility of surfaces of revolution with flattening at the poles
Deformation of Kahler metrics to Kahler-Einstein metrics on compact Kahler manifolds
Five-dimensional metric f(R) gravity and the accelerated universe
Journal Article
·
Thu Oct 31 00:00:00 EDT 2013
· Sbornik. Mathematics
·
OSTI ID:21202960
Deformation of Kahler metrics to Kahler-Einstein metrics on compact Kahler manifolds
Thesis/Dissertation
·
Wed Jan 01 00:00:00 EST 1986
·
OSTI ID:21202960
Five-dimensional metric f(R) gravity and the accelerated universe
Journal Article
·
Mon Mar 15 00:00:00 EDT 2010
· Physical Review. D, Particles Fields
·
OSTI ID:21202960