Math Seminars
S. Ivanov
Tangents and area of surfaces in L^\infty spaces
Some inverse boundary problems for Riemannian manifolds
can be reformulated in terms of area minimality of
Lipschitz surfaces in L^\infty-type Banach spaces.
However, due to the lack of Rademacher's Theorem,
it is not trivial to define what is the area of such a surface.
I will talk about one possible definition, which plays well
with both intrinsic and extrinsic geometry of a surface.