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Volumn 29, Issue 3-4, 1996, Pages 233-248

Curvature Relations and Affine Surface Area for a General Convex Body and its Polar

Author keywords

52A20; 52A40; 53A15; affine surface area; equiaffine support function; Generalized Gau Kronecker curvature; generalized principal radii of curvature; polar body

Indexed keywords


EID: 0000948005     PISSN: 14226383     EISSN: 14209012     Source Type: Journal    
DOI: 10.1007/BF03322221     Document Type: Article
Times cited : (46)

References (19)
  • 1
    • 0002867833 scopus 로고
    • Almost everywhere existence of the second differential of a convex function and some properties of convex surfaces connected with it (in Russian)
    • A. D. Aleksandrov, Almost everywhere existence of the second differential of a convex function and some properties of convex surfaces connected with it (in Russian), Uchenye Zapiski Leningrad. Gos. Univ., Math. Ser. 6 (1939), 3–35
    • (1939) Uchenye Zapiski Leningrad. Gos. Univ., Math. Ser. , vol.6 , pp. 3-35
    • Aleksandrov, A.D.1
  • 2
    • 84941449805 scopus 로고
    • Analytische Eigenschaften konvexer Funktionen auf Riemannschen Mannigfaltigkeiten
    • V. Bangert, Analytische Eigenschaften konvexer Funktionen auf Riemannschen Mannigfaltigkeiten, J. reine angew. Math. 307/308 (1979), 309–324
    • (1979) J. reine angew. Math , vol.307-308 , pp. 309-324
    • Bangert, V.1
  • 5
    • 84955849808 scopus 로고
    • Asymptotic estimates for best and stepwise approximation of convex bodies I
    • P. M. Gruber, Asymptotic estimates for best and stepwise approximation of convex bodies I, Forum Mathematicum 5 (1993), 281–297
    • (1993) Forum Mathematicum , vol.5 , pp. 281-297
    • Gruber, P.M.1
  • 10
    • 0001307756 scopus 로고
    • Zur Affinoberfläche konvexer Körper
    • K. Leichtweiß, Zur Affinoberfläche konvexer Körper, Manuscripta Math. 56 (1986), 429–464
    • (1986) Manuscripta Math. , vol.56 , pp. 429-464
    • Leichtweiß, K.1
  • 13
    • 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
  • 14
    • 85053817929 scopus 로고
    • BI Verlag Mannheim, B. Fuchssteiner & W. A. J. Luxemburg (eds): “Analysis and Geometry”
    • V. Oliker and U. Simon, Affine Geometry and Polar Hypersurfaces, pp. 87-112, BI Verlag Mannheim (1992), B. Fuchssteiner & W. A. J. Luxemburg (eds): “Analysis and Geometry”
    • (1992) Affine Geometry and Polar Hypersurfaces , pp. 87-112
    • Oliker, V.1    Simon, U.2
  • 17
    • 51249182447 scopus 로고
    • Bestimmung konvexer Körper durch Krümmungsmaße
    • R. Schneider, Bestimmung konvexer Körper durch Krümmungsmaße, Comment. Math. Helvetici 54 (1979), 42–60
    • (1979) Comment. Math. Helvetici , vol.54 , pp. 42-60
    • Schneider, R.1
  • 19
    • 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


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.