Convessità in dimensione finita

Andrea Colesanti

Bollettino dell'Unione Matematica Italiana (1998)

  • Volume: 1-A, Issue: 1S, page 93-96
  • ISSN: 0392-4041

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Colesanti, Andrea. "Convessità in dimensione finita." Bollettino dell'Unione Matematica Italiana 1-A.1S (1998): 93-96. <http://eudml.org/doc/219401>.

@article{Colesanti1998,
author = {Colesanti, Andrea},
journal = {Bollettino dell'Unione Matematica Italiana},
keywords = {Aleksandrov-Busemann-Feller theorem; Hausdorff dimension; convex functions; Lipschitz constant; Steiner type formula; singularity},
language = {ita},
month = {4},
number = {1S},
pages = {93-96},
publisher = {Unione Matematica Italiana},
title = {Convessità in dimensione finita},
url = {http://eudml.org/doc/219401},
volume = {1-A},
year = {1998},
}

TY - JOUR
AU - Colesanti, Andrea
TI - Convessità in dimensione finita
JO - Bollettino dell'Unione Matematica Italiana
DA - 1998/4//
PB - Unione Matematica Italiana
VL - 1-A
IS - 1S
SP - 93
EP - 96
LA - ita
KW - Aleksandrov-Busemann-Feller theorem; Hausdorff dimension; convex functions; Lipschitz constant; Steiner type formula; singularity
UR - http://eudml.org/doc/219401
ER -

References

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  1. ALBERTI, G., AMBROSIO, L. and CANNARSA, P., On the singularities of convex functions, Manuscr. Math., 76 (1992), 421-435. Zbl0784.49011MR1185029DOI10.1007/BF02567770
  2. ALEKSANDROV, A.D., Almost everywhere existence of the second differential of a convex function (in russo) Uchenye Zapinsky Leningrad Gos. Univ. Mat. Ser., 37 (1939), 3-35. Zbl0063.00046
  3. ANZELLOTTI, G. and OSSANNA, E., Singular sets of convex bodies and surfaces with generalized curvature, Manus. Math., 86 (1995), 417-433. Zbl0837.49020MR1324680DOI10.1007/BF02568003
  4. BIANCHI, G., COLESANTI, A. and Pucci, C., On the second differentiability of convex surfaces, Geom. Ded., 60 (1996), 39-48. Zbl0843.26007MR1376479DOI10.1007/BF00150866
  5. BUSEMANN, H. and FELLER, W., Krümmungseigenshaften convexer Flachen, Acta Math., 66 (1935), 1-47. Zbl0012.27404JFM62.0832.02
  6. COLESANTI, A., A Steiner Type formula for convex functions, Mathematika, 44 (1997), 195-214. Zbl0878.52001MR1464386DOI10.1112/S0025579300012067
  7. COLESANTI, A. and Pucci, C., Qualitative and quantitative results for sets of singular points of convex bodies, Forum Math., 9 (1997), 103-125. Zbl0872.52002MR1426456DOI10.1515/form.1997.9.103
  8. COLESANTI, A. and HUG, D., Steiner type formulas and weighted measures of singularities for semiconvex functions, Trans. Amer. Math. Soc. (in corso di stampa). 
  9. ZAJIČEK, L., On the differentiation of convex functions infinite and infinite dimensional spaces, Czech. Math. J., 29 (1979), 340-348. Zbl0429.46007MR536060

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