Global Models of Riemannian Metrics.
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Autores: Fernando Varela García
, J. Fontanillas
- Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 3, Nº 3-4, 1987, págs. 427-445
- Idioma: inglés
- DOI: 10.4171/rmi/57
- Títulos paralelos:
- Modelos globales de métricas riemannianas.
- Enlaces
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Resumen
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.
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