A Li-Yau inequality for the 1-dimensional Willmore energy 01

Fabian Rupp

Tue Jul 6, 13:00-13:30 (3 weeks from now)

Abstract: By the classical Li--Yau inequality, an immersion of a closed surface in $\mathbb{R}^n$ with Willmore energy below $8\pi$ has to be embedded. We discuss analogous results for curves in $\mathbb{R}^2$, involving Euler’s elastic energy and other possible curvature functionals. Additionally, we provide applications to associated gradient flows. This is based on a joint work with Marius M\"uller (Albert-Ludwigs-Universit\"at Freiburg).

differential geometry

Audience: researchers in the topic

( video )


The 2nd Geometric Analysis Festival

Series comments: The recorded lecture videos are available on www.youtube.com/channel/UC2gHzqcv7CT1G3fa4a7sx-Q/playlists

If you would like to ask questions to speakers, please visit here: forms.gle/gdkKLtsuK9fKLik76

Video Abstracts: youtu.be/uMBqmW4r8GE

For more details, please visit the webpage (will be updated later) at cosmogeometer.wordpress.com/geometric-analysis

Organizer: Hojoo Lee*
*contact for this listing

Export talk to