On Jacobi field splitting theorems

https://doi.org/10.1016/j.difgeo.2014.10.003Get rights and content
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Abstract

We formulate extensions of Wilking's Jacobi field splitting theorem to uniformly positive sectional curvature and also to positive and nonnegative intermediate Ricci curvatures.

MSC

53C20

Keywords

Jacobi fields
Splitting theorems

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