Marta Lewicka

activity

20182026

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3 papers · 1 filter

math.DG2025

Full flexibility of isometric immersions of metrics with low Hölder regularity in Poznyak theorem's dimension

Marta Lewicka

A classical result by Poznyak asserts that any smooth $2$ -dimensional Riemannian metric $g$ , posed on the closure of a simply connected domain $ω \subset R^{2}$ , has a smooth…

math.AP2025

The Monge-Ampère system in dimension two is fully flexible in codimension two

Dominik Inauen, Marta Lewicka

We prove that every $C^{1} (ω ˉ)$ -regular subsolution of the Monge-Ampère system posed on a $2$ -dimensional domain $ω$ and with target codimension $2$ , can be uniformly ap…

math.AP2025

The Monge-Ampere system in dimension two and codimension three

Dominik Inauen, Marta Lewicka

We revisit the convex integration constructions for the Monge-Ampère system and prove its flexibility in dimension $d = 2$ and codimension $k = 3$ , up to $C^{1, 1 - 1/ 5}$ …