Global models of Riemannian metrics.

Fontanillas, Juan, and Varela, Fernando. "Global models of Riemannian metrics.." Revista Matemática Iberoamericana 3.3-4 (1987): 427-445. <http://eudml.org/doc/39363>.

@article{Fontanillas1987,
abstract = {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.},
author = {Fontanillas, Juan, Varela, Fernando},
journal = {Revista Matemática Iberoamericana},
keywords = {Métricas riemannianas; Teoremas; Generalización; diffeomorphisms; Riemannian metric},
language = {eng},
number = {3-4},
pages = {427-445},
title = {Global models of Riemannian metrics.},
url = {http://eudml.org/doc/39363},
volume = {3},
year = {1987},
}

TY - JOUR
AU - Fontanillas, Juan
AU - Varela, Fernando
TI - Global models of Riemannian metrics.
JO - Revista Matemática Iberoamericana
PY - 1987
VL - 3
IS - 3-4
SP - 427
EP - 445
AB - 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.
LA - eng
KW - Métricas riemannianas; Teoremas; Generalización; diffeomorphisms; Riemannian metric
UR - http://eudml.org/doc/39363
ER -