TY - JOUR
T1 - The concept of varifold
AU - Menne, Ulrich
N1 - Publisher Copyright:
© 2017, American Mathematical Society. All rights reserved.
PY - 2017/11
Y1 - 2017/11
N2 - We survey-by means of 20 examples-the concept of varifold, as generalised submanifold, with emphasis on regularity of integral varifolds with mean curvature, while keeping prerequisites to a minimum. Integral varifolds are the natural language for studying the variational theory of the area isntegrand if one considers, for instance, existence or regularity of stationary (or stable) surfaces of dimension at least three or the limiting behaviour of sequences of smooth submanifolds under area and mean curvature bounds.
AB - We survey-by means of 20 examples-the concept of varifold, as generalised submanifold, with emphasis on regularity of integral varifolds with mean curvature, while keeping prerequisites to a minimum. Integral varifolds are the natural language for studying the variational theory of the area isntegrand if one considers, for instance, existence or regularity of stationary (or stable) surfaces of dimension at least three or the limiting behaviour of sequences of smooth submanifolds under area and mean curvature bounds.
UR - https://www.scopus.com/pages/publications/85031921706
UR - https://www.scopus.com/pages/publications/85031921706#tab=citedBy
U2 - 10.1090/noti1589
DO - 10.1090/noti1589
M3 - Article
AN - SCOPUS:85031921706
SN - 0002-9920
VL - 64
SP - 1148
EP - 1152
JO - Notices of the American Mathematical Society
JF - Notices of the American Mathematical Society
IS - 10
ER -