TY  - JOUR
A1  - Metzger, Jan
T1  - Refined position estimates for surfaces of Willmore type in Riemannian manifolds
JF  - Communications in analysis and geometry
N2  - In this paper we consider surfaces which are critical points of the Willmore functional subject to constrained area. 
In the case of small area we calculate the corrections to the intrinsic geometry induced by the ambient curvature. 
These estimates together with the choice of an adapted geometric center of mass lead to refined position estimates in relation to the scalar curvature of the ambient manifold.
Y1  - 2023
U6  - https://doi.org/10.4310/CAG.2022.v30.n10.a5
SN  - 1019-8385
SN  - 1944-9992
VL  - 30
IS  - 10
SP  - 2315
EP  - 2346
PB  - International Press of Boston
CY  - Somerville, Mass.
ER  -