TY - JOUR
T1 - Index characterization for free boundary minimal surfaces
AU - Tran, Hung
N1 - Publisher Copyright:
© 2020 International Press of Boston, Inc.. All rights reserved.
PY - 2020
Y1 - 2020
N2 - In this paper, we compute the Morse index of a free boundary minimal submanifold from data of two simpler problems. The first is the fixed boundary problem and the second is concered with the Dirichlet-to-Neumann map associated with the Jacobi operator. As an application, we show that the Morse index of a free boundary minimal annulus is equal to 4 if and only if it is the critical catenoid.
AB - In this paper, we compute the Morse index of a free boundary minimal submanifold from data of two simpler problems. The first is the fixed boundary problem and the second is concered with the Dirichlet-to-Neumann map associated with the Jacobi operator. As an application, we show that the Morse index of a free boundary minimal annulus is equal to 4 if and only if it is the critical catenoid.
UR - http://www.scopus.com/inward/record.url?scp=85086384875&partnerID=8YFLogxK
U2 - 10.4310/CAG.2020.V28.N1.A6
DO - 10.4310/CAG.2020.V28.N1.A6
M3 - Article
AN - SCOPUS:85086384875
SN - 1019-8385
VL - 28
SP - 189
EP - 222
JO - Communications in Analysis and Geometry
JF - Communications in Analysis and Geometry
IS - 1
ER -