Comparison between the generalized mean curvature according to Allard and Federer's mean curvature measure

E. Ossanna

Rendiconti del Seminario Matematico della Università di Padova (1992)

  • Volume: 88, page 221-227
  • ISSN: 0041-8994

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Ossanna, E.. "Comparison between the generalized mean curvature according to Allard and Federer's mean curvature measure." Rendiconti del Seminario Matematico della Università di Padova 88 (1992): 221-227. <http://eudml.org/doc/108271>.

@article{Ossanna1992,
author = {Ossanna, E.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {mean curvature; convex body; Euclidean -space; curvature measure},
language = {eng},
pages = {221-227},
publisher = {Seminario Matematico of the University of Padua},
title = {Comparison between the generalized mean curvature according to Allard and Federer's mean curvature measure},
url = {http://eudml.org/doc/108271},
volume = {88},
year = {1992},
}

TY - JOUR
AU - Ossanna, E.
TI - Comparison between the generalized mean curvature according to Allard and Federer's mean curvature measure
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1992
PB - Seminario Matematico of the University of Padua
VL - 88
SP - 221
EP - 227
LA - eng
KW - mean curvature; convex body; Euclidean -space; curvature measure
UR - http://eudml.org/doc/108271
ER -

References

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  1. [FU] J.H.G. Fu, private communication (1991). 
  2. [HAL] P.R. Halmos, Measure Theory, Springer-Verlag, New York-Berlin (1974). Zbl0283.28001MR453532
  3. [HUT] J.E. Hutchinson, Second fundamental form for varifolds and the existence of surfaces minimizing curvature, Indiana Univ. Math. J., 35 (1986), pp. 45-71. Zbl0561.53008MR825628
  4. [RES] Yu. G. Reshetnyak, Weak convergence of completely additive vector functions on a set, Sibirsk. Mat. Z., 9 (1968), pp. 1386-1394. Zbl0169.18301MR240274
  5. [SCH1] R. Schneider, Curvature measures of convex bodies, Ann. Mat. Pura Appl., (4) 116 (1978), pp. 101-134. Zbl0389.52006MR506976
  6. [SCH2] R. Schneider, Bestimmung konvexer Körper durch Krümmungmaße, Comment. Math. Helvetici, 54 (1979), pp. 42-60. Zbl0392.52004MR522031
  7. [SIM] L. Simon, Lectures on geometric measure theory, Proceedings of the Centre for Mathematical Analysis, Australian Nat. Univ. Canberra, Australia, vol. 3 (1984), p. 230. Zbl0546.49019MR756417

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