GEMETHNES erc

A stationary varifold with non-unique tangent

Jan Kolar

(Institute of Mathematics of the Academy of Sciences of the Czech Republic)

Event: ERC Workshop on Geometric Measure Theory, Analysis in Metric Spaces and Real Analysis

Date: Oct 10, 2013, time: 09:00

Abstract. An example of a recti able stationary 2-varifold in \( R^4 \) with non-unique (conical and//or non-conical) tangent varifolds at a point. This answers a question of L. Simon
(Lectures on geometric measure theory, 1983, p. 243) and provides a new example for a
related question of W. K. Allard (On the fi rst variation of a varifold, Ann. of Math., 1972,
p. 460).