Abstract
We prove a DDVV inequality for submanifolds of warped products of the form $I\times _{a}\mathbb{M}^{n}(c)$, where $I$ is an interval and $\mathbb{M}^{n}(c)$ is a real space form of curvature $c$. As an application, we give a rigidity result for submanifolds of $\mathbb{R}\times _{e^{\unicode[STIX]{x1D706}t}}\mathbb{H}^{n}(c)$.
Publisher
Cambridge University Press (CUP)
Cited by
7 articles.
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