cvgmt: An example in dimension four of a Riemannian manifold such that its sectional curvature is positive and its curvature operator is not nonnegative

Calculus of Variations and Geometric Measure Theory

F. Oronzio

An example in dimension four of a Riemannian manifold such that its sectional curvature is positive and its curvature operator is not nonnegative

created by oronzio on 13 Nov 2022

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Short Note

Inserted: 13 nov 2022
Last Updated: 13 nov 2022

Year: 2022

Abstract:

In this short note we exhibit a manifold of dimension 4 such that its section curvature is positive and its curvature operator is not nonnegative. This example is based on a discussion in mathoverflow, therefore the author thanks all participants in this discussion. Not meant for publication and the comments are welcome.

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