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Results tagged with curvature
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user 26474
Gaussian curvature, mean curvature, sectional curvature, scalar curvature, curvature tensors (Riemann, Ricci, Weyl)
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Strake's splitting theorem for complex sectional curvature
Strake's splitting theorem: Let $(M^n,g)$ be an open manifold with sectional curvature $K\ge 0$ and soul $\Sigma^k$. … Since nonnegative complex sectional curvature $K_\mathbb{C}\ge0$ implies $K\ge0$ but the converse does not hold for $n\ge 4$, my question is:
Does an open manifold with $n\ge 4$, $K_\mathbb{C}\ge0$ and …
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