Totally geodesic submanifolds in Riemannian geometry

Start: 03/08/2017 - 4:15pm
End  : 03/08/2017 - 5:15pm


Thomas Murphy (CSU Fullerton)


One of the main avenues of research in Riemannian geometry has been submanifold geometry, which studies how one manifold "sits" (embeds)  inside another. It is analogous to studying subgroups of a given group. Totally geodesic embeddings are the simplest cases to study, but the problem is fiendishly difficult. I will explain carefully the objects mentioned in the title of talk, outline  the history and importance of the classification problem, and explain some  work in progress with Fred Wilhelm (UCR) concerning their existence in generic settings.

Shanahan B460, Harvey Mudd

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