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Volumn 152, Issue 2, 2000, Pages 288-313

On the p-affine surface area1

Author keywords

p affine surface area

Indexed keywords


EID: 0034713473     PISSN: 00018708     EISSN: None     Source Type: Journal    
DOI: 10.1006/aima.1999.1902     Document Type: Article
Times cited : (128)

References (29)
  • 1
    • 84976132344 scopus 로고
    • Random polytopes in smooth convex bodies
    • I. Bárány, Random polytopes in smooth convex bodies, Mathematika 39 (1992), 81-92.
    • (1992) Mathematika , vol.39 , pp. 81-92
    • Bárány, I.1
  • 2
    • 0039466654 scopus 로고    scopus 로고
    • Affine perimeter and limit shape
    • I. Bárány, Affine perimeter and limit shape, J. Reine Angew. Math. (1997), 71-84.
    • (1997) J. Reine Angew. Math. , pp. 71-84
    • Bárány, I.1
  • 4
    • 0001182711 scopus 로고
    • Equality of two representations of extended affine surface area
    • G. Dolzmann and D. Hug, Equality of two representations of extended affine surface area, Arch. Math. 65, No. 4 (1995), 352-356.
    • (1995) Arch. Math. , vol.65 , Issue.4 , pp. 352-356
    • Dolzmann, G.1    Hug, D.2
  • 5
    • 0000652215 scopus 로고    scopus 로고
    • Hyperplane sections of convex bodies in isotropic position
    • M. Fradelizi, Hyperplane sections of convex bodies in isotropic position, Beiträge Algebra Geom. 40 (1999), 163-183.
    • (1999) Beiträge Algebra Geom. , vol.40 , pp. 163-183
    • Fradelizi, M.1
  • 6
    • 0031493502 scopus 로고    scopus 로고
    • Asymptotic estimates for best and stepwise approximation of convex bodies, III
    • S. Glasauer and P. M. Gruber, Asymptotic estimates for best and stepwise approximation of convex bodies, III, Forum Math. 9 (1997), 383-404.
    • (1997) Forum Math. , vol.9 , pp. 383-404
    • Glasauer, S.1    Gruber, P.M.2
  • 7
    • 0002722964 scopus 로고
    • Aspects of approximation of convex bodies
    • North-Holland, Amsterdam
    • P. M. Gruber, Aspects of approximation of convex bodies, in "Handbook of Convex Geometry," Vol. A, pp. 321-345, North-Holland, Amsterdam, 1993.
    • (1993) Handbook of Convex Geometry , vol.A , pp. 321-345
    • Gruber, P.M.1
  • 8
    • 3042715214 scopus 로고
    • Asymptotic estimates for best and stepwise approximation of convex bodies, II
    • P. M. Gruber, Asymptotic estimates for best and stepwise approximation of convex bodies, II, Forum Math. 5 (1993), 521-538.
    • (1993) Forum Math. , vol.5 , pp. 521-538
    • Gruber, P.M.1
  • 9
    • 77956559718 scopus 로고    scopus 로고
    • Contributions to affine surface area
    • D. Hug, Contributions to affine surface area, Manuscripta Math. 91, No. 3 (1996), 283-301.
    • (1996) Manuscripta Math. , vol.91 , Issue.3 , pp. 283-301
    • Hug, D.1
  • 10
    • 0000948005 scopus 로고    scopus 로고
    • Curvature relations and affine surface area for a general convex body and its polar
    • D. Hug, Curvature relations and affine surface area for a general convex body and its polar, Results Math. 29 (1996), 233-248.
    • (1996) Results Math. , vol.29 , pp. 233-248
    • Hug, D.1
  • 11
    • 0002273065 scopus 로고
    • Über ein formel blaschkes zur affinoberfläche
    • K. Leichtweiss, Über ein formel blaschkes zur affinoberfläche, Studia Sci. Math. Hungar. 21 (1986), 453-474.
    • (1986) Studia Sci. Math. Hungar. , vol.21 , pp. 453-474
    • Leichtweiss, K.1
  • 12
    • 0001307756 scopus 로고
    • Zur affinoberfläsche konvexer körper
    • K. Leichtweiss, Zur affinoberfläsche konvexer körper, Manuscripta Math. 56 (1986), 429-464.
    • (1986) Manuscripta Math. , vol.56 , pp. 429-464
    • Leichtweiss, K.1
  • 13
    • 84871144950 scopus 로고    scopus 로고
    • Asymptotic approximation of smooth convex bodies by general polytopes
    • in press
    • M. Ludwig, Asymptotic approximation of smooth convex bodies by general polytopes, Mathematika, in press.
    • Mathematika
    • Ludwig, M.1
  • 14
    • 0001874829 scopus 로고
    • On some affine isoperimetric inequalities
    • E. Lutwak, On some affine isoperimetric inequalities, J. Differential Geom. 23 (1986), 1-13.
    • (1986) J. Differential Geom. , vol.23 , pp. 1-13
    • Lutwak, E.1
  • 15
    • 44949275584 scopus 로고
    • Extended affine surface area
    • E. Lutwak, Extended affine surface area, Adv. Math. 85 (1991), 39-68.
    • (1991) Adv. Math. , vol.85 , pp. 39-68
    • Lutwak, E.1
  • 16
    • 0030600832 scopus 로고    scopus 로고
    • The Brunn-Minkowski-Firey theory, II. Affine and geominimal surface areas
    • E. Lutwak, The Brunn-Minkowski-Firey theory, II. Affine and geominimal surface areas, Adv. Math. 118 (1996), 244-294.
    • (1996) Adv. Math. , vol.118 , pp. 244-294
    • Lutwak, E.1
  • 17
    • 84972497535 scopus 로고    scopus 로고
    • On the regularity of the solution of a generalization of the Minkowski problem
    • E. Lutwak and V. Oliker, On the regularity of the solution of a generalization of the Minkowski problem, J. Differential Geom. 41, 227-246.
    • J. Differential Geom. , vol.41 , pp. 227-246
    • Lutwak, E.1    Oliker, V.2
  • 18
    • 0002241880 scopus 로고
    • A geometric property of the boundary of symmetric convex bodies and convexity of flotation surfaces
    • M. Meyer and S. Reisner, A geometric property of the boundary of symmetric convex bodies and convexity of flotation surfaces, Geom. Dedicata 37 (1991), 327-337.
    • (1991) Geom. Dedicata , vol.37 , pp. 327-337
    • Meyer, M.1    Reisner, S.2
  • 19
    • 22444453008 scopus 로고    scopus 로고
    • The Santaló-regions of a convex body
    • M. Meyer and E. Werner, The Santaló-regions of a convex body, Trans. Amer. Math. Soc. 350, No. 11 (1998), 4569-4591.
    • (1998) Trans. Amer. Math. Soc. , vol.350 , Issue.11 , pp. 4569-4591
    • Meyer, M.1    Werner, E.2
  • 20
    • 0002904748 scopus 로고
    • Isotropic position and inertia ellipsoids and zonoids of the unit ball of a normed n-dimensional space
    • (J. Lindenstrauss and V. D. Milman, Eds.), Lecture Notes in Math., Springer-Verlag, Berlin
    • V. D. Milman and A. Pajor, Isotropic position and inertia ellipsoids and zonoids of the unit ball of a normed n-dimensional space, in "GAFA" (J. Lindenstrauss and V. D. Milman, Eds.), Lecture Notes in Math., Vol. 1376, pp. 64-104, Springer-Verlag, Berlin, 1989.
    • (1989) GAFA , vol.1376 , pp. 64-104
    • Milman, V.D.1    Pajor, A.2
  • 21
  • 24
    • 84986685654 scopus 로고
    • Random approximation of convex sets
    • R. Schneider, Random approximation of convex sets, J. Microscopy 151 (1988), 211-227.
    • (1988) J. Microscopy , vol.151 , pp. 211-227
    • Schneider, R.1
  • 25
    • 84966239356 scopus 로고
    • On the affine surface area
    • C. Schütt, On the affine surface area, Proc. Amer. Math. Soc. 118 (1993), 1213-1218.
    • (1993) Proc. Amer. Math. Soc. , vol.118 , pp. 1213-1218
    • Schütt, C.1
  • 26
    • 84985402677 scopus 로고
    • Random polytopes and affine surface area
    • C. Schütt, Random polytopes and affine surface area, Math. Nachr. 170 (1994), 227-249.
    • (1994) Math. Nachr. , vol.170 , pp. 227-249
    • Schütt, C.1
  • 27
    • 0001709834 scopus 로고
    • The convex floating body
    • C. Schütt and E. Werner, The convex floating body, Math. Scand. 66 (1990), 275-290.
    • (1990) Math. Scand. , vol.66 , pp. 275-290
    • Schütt, C.1    Werner, E.2
  • 28
    • 0002238931 scopus 로고
    • Illumination bodies and affine surface area
    • E. Werner, Illumination bodies and affine surface area, Studia Math. 110 (1994), 257-269.
    • (1994) Studia Math. , vol.110 , pp. 257-269
    • Werner, E.1
  • 29
    • 0002099777 scopus 로고    scopus 로고
    • A general geometric construction of affine surface area
    • E. Werner, A general geometric construction of affine surface area, Studia Math. 132, No. 3 (1999), 227-238.
    • (1999) Studia Math. , vol.132 , Issue.3 , pp. 227-238
    • Werner, E.1


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