Non-unique conical and non-conical tangents to rectifiable stationary varifolds in R-4

0448479 - MÚ 2016 RIV DE eng J - Journal Article
Kolář, Jan
Non-unique conical and non-conical tangents to rectifiable stationary varifolds in R-4.
Calculus of Variations and Partial Differential Equations. Roč. 54, č. 2 (2015), s. 1875-1909. ISSN 0944-2669. E-ISSN 1432-0835
R&D Projects: GA AV ČR IAA100190903; GA ČR(CZ) GAP201/12/0290
Institutional support: RVO:67985840
Keywords : minimal surfaces * cones * uniqueness
Subject RIV: BA - General Mathematics
Impact factor: 1.555, year: 2015
http://link.springer.com/article/10.1007%2Fs00526-015-0847-9

We construct a rectifiable stationary 2-varifold in ... with non-conical, and hence non-unique, tangent varifold at a point. This answers a question of Simon (Lectures on geometric measure theory, p 243, 1983) and provides a new example for a related question of Allard (Ann Math (2) 95(3):417–491, 1972, p 460). There is also a (rectifiable) stationary 2-varifold in ... that has more than one conical tangent varifold at a point.
Permanent Link: http://hdl.handle.net/11104/0250165