The deformation theorem for flat chains

Acta Mathematica

Volumn 183, Issue 2, 1999, Pages 255-271

  White, Brian ^a  

^a STANFORD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0038853408     PISSN: 00015962     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02392829     Document Type: Article

References (13)

1. ALMGREN, F. J., JR., Deformations and multiple-valued functions. Proc. Sympos. Pure Math., 44 (1986), 29-130.
2. FEDERER, H., Geometric Measure Theory. Grundlehren Math. Wiss., 153. Springer-Verlag, New York, 1969.
3. _ Flat chains with positive densities. Indiana Univ. Math. J., 35 (1986), 413-424.
4. FEDERER, H. & FLEMING, W., Normal and integral currents. Ann. of Math., 72 (1960), 458-520.
5. FLEMING, W., Flat chains over a coefficient group. Trans. Amer. Math. Soc., 121 (1966), 160-186.
6. LAWLOR, G. & MORGAN, F., Paired calibrations applied to soap films, immiscible fluids, and surfaces or networks minimizing other norms. Pacific J. Math., 166 (1994), 55-83.
7. MATTILA, P., Geometry of Sets and Measures in Euclidean Spaces: Fractals and Rectifiability. Cambridge Stud. Adv. Math., 44. Cambridge Univ. Press, Cambridge, 1995.
8. MORGAN, F., Geometric Measure Theory. A Beginner's Guide, 2nd edition. Academic Press, San Diego, CA, 1995.
9. SIMON, L., Lectures on Geometric Measure Theory. Proceedings of the Centre for Mathematical Analysis, Australian National University, 3. Austral. Nat. Univ., Canberra, 1983.
10. WHITE, B., Existence of least-energy configurations of immiscible fluids. J. Geom. Anal., 6 (1996), 151-161.
11. _ Rectifiability of flat chains. Ann. of Math., 150 (1999), 165-184.
12. n. J. Amer. Math. Soc., 11 (1998), 693-701.
13. _ Regularity of area-minimizing hypersurfaces at boundaries with multiplicity, in Seminar on Minimal Submanifolds, pp. 293-301. Ann. of Math. Stud., 103. Princeton Univ. Press, Princeton, NJ, 1983.