CONFORMALLY FLAT MANIFOLDS WITH POSITIVE RICCI CURVATURE

CONFORMALLY FLAT MANIFOLDS WITH POSITIVE RICCI CURVATURE

In this paper by using Ros's method we prove the following result which has been obtained by Tani M. [1]: An n dimensional (n ≥ 3) compact conformally flat manifold with positive Ricci curvature and constant scalar curvature must be of constant sectional curvature.

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Veröffentlicht in:Tsukuba journal of mathematics 1999-06, Vol.23 (1), p.91-95
1. Verfasser: Bingye, Wu
Format: Artikel
Sprache:eng
Schlagworte:
Curvature
Mathematical constants
Mathematical theorems
Riemann manifold
Scalars
Sine function
Tensors
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Zusammenfassung:In this paper by using Ros's method we prove the following result which has been obtained by Tani M. [1]: An n dimensional (n ≥ 3) compact conformally flat manifold with positive Ricci curvature and constant scalar curvature must be of constant sectional curvature.
ISSN:0387-4982
DOI:10.21099/tkbjm/1496163777