Friday, May 16, 2025 3:30 pm
-
4:30 pm
EDT (GMT -04:00)
Cy Maor, Hebrew University of Jerusalem
Stability of isometric immersions and applications
An isometric immersion f:M→N between two Riemannian manifolds of the same dimension is very rigid—the values of f(p) and Df(p) at one point p∈M completely determine f. But what can be said about maps that are "almost" isometries (in a precise sense)—must they be close to true isometries? In this talk, I will survey this question from its origins in the 1960s to recent developments, and discuss its applications to non-Euclidean elasticity, where one seeks the “most isometric” immersion even when exact isometric immersions do not exist. Based on joint works with Raz Kupferman.
MC 5417