A MASS REDUCING FLOW FOR INTEGRAL CURRENTS

Authors
CHENG XX
Citation
Xx. Cheng, A MASS REDUCING FLOW FOR INTEGRAL CURRENTS, Indiana University mathematics journal, 42(2), 1993, pp. 425-444
Citations number
20
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Indiana University mathematics journal → ACNP
ISSN journal
00222518
Volume
42
Issue
2
Year of publication
1993
Pages
425 - 444
Database
ISI
SICI code
0022-2518(1993)42:2<425:AMRFFI>2.0.ZU;2-0
Abstract
A mass reducing flow for integral currents is constructed. This flow m oves integral currents according to the maximum mean curvature. The fl ow also has the property that it is Holder continuous under the flat n orm and reduces the mass of the initial current while keeping the boun dary fixed.