Título inglés | Global models of Riemannian metrics. |
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Título español | Modelos globales de métricas riemannianas. |
Autor/es | Fontanillas, Juan ; Varela, Fernando |
Organización | Dep. Mat. Univ. Autón. Madrid, Madrid, España |
Revista | 0213-2230 |
Publicación | 1987, 3 (3-4): 427-445, 4 Ref. |
Tipo de documento | articulo |
Idioma | Inglés |
Resumen inglés | In this paper we give certain Riemannian metrics on the manifolds Sn-1 x S1 and Sn (n ≥ 2), which have the property to determine these manifolds, up to diffeomorphisms. The global expressions used for Riemannian metrics are based on the global expression for exterior forms studied in [4]. In [3] one finds certain metrics using global expressions that differ from the type we propose. To some extent, Theorem 3 is a generalization for metrics in an arbitrary dimension, of a theorem proved in [2] for certain volume forms on surfaces. |
Clasificación UNESCO | 121005 |
Palabras clave español | Métricas riemannianas ; Teoremas ; Generalización |
Código MathReviews | MR0996825 |
Código Z-Math | Zbl 0675.53040 |
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