TY - JOUR
T1 - Second order rectifiability of integral varifolds of locally bounded first variation
AU - Menne, Ulrich
N1 - Funding Information:
The author acknowledges financial support via the DFG Forschergruppe 469. The major part of this work was accomplished while the author was at the University of Tübingen. Some parts were done at the ETH Zürich and the work was put in its final form at the AEI Golm. AEI publication number AEI-2008-065.
PY - 2013/4
Y1 - 2013/4
N2 - It is shown that every integral varifold in an open subset of Euclidean space whose first variation with respect to area is representable by integration can be covered by a countable collection of submanifolds of the same dimension of class 2 and that their mean curvature agrees almost everywhere with the variationally defined generalized mean curvature of the varifold.
AB - It is shown that every integral varifold in an open subset of Euclidean space whose first variation with respect to area is representable by integration can be covered by a countable collection of submanifolds of the same dimension of class 2 and that their mean curvature agrees almost everywhere with the variationally defined generalized mean curvature of the varifold.
KW - Integral varifold
KW - Locally bounded first variation
KW - Second fundamental form
KW - Second order rectifiability
UR - https://www.scopus.com/pages/publications/84878546160
UR - https://www.scopus.com/pages/publications/84878546160#tab=citedBy
U2 - 10.1007/s12220-011-9261-5
DO - 10.1007/s12220-011-9261-5
M3 - Article
AN - SCOPUS:84878546160
SN - 1050-6926
VL - 23
SP - 709
EP - 763
JO - Journal of Geometric Analysis
JF - Journal of Geometric Analysis
IS - 2
ER -