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Speaker:

Zhichao Wang
Affiliation:

Peking University/MPIM
Date:

Thu, 2018-11-29 16:30 - 17:30
Location:

MPIM Lecture Hall
Parent event:

Oberseminar Differentialgeometrie In this talk, I will present a joint work with Q. Guang and X.

Zhou where we prove the existence of least area free boundary minimal

hypersurfaces in compact manifolds with boundary. Moreover, we characterize

the orientation and index of such minimal hypersurface. As a consequence,

it is exactly the min-max one corresponding to the fundamental class if the

ambient manifold has non-negative Ricci curvature and convex boundary.

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