| Autor: |
Brooks, Thomas G. |
| Předmět: |
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| Zdroj: |
Annals of Global Analysis & Geometry; Oct2019, Vol. 56 Issue 3, p555-566, 12p |
| Abstrakt: |
The conullity of a curvature tensor is the codimension of its kernel. We consider the cases of conullity two in any dimension and conullity 3 in dimension four. We show that these conditions are compatible with nonnegative sectional curvature only if either the manifold is diffeomorphic to R n or the universal cover is an isometric product with a Euclidean factor. Moreover, we show that finite volume manifolds with conullity 3 are locally products. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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