메뉴 건너뛰기




Volumn 18, Issue 3, 2008, Pages 870-892

From the Mahler conjecture to Gauss linking integrals

Author keywords

Bourgain Milman theorem; Convex; Gauss linking integral; Mahler conjecture

Indexed keywords


EID: 52449130367     PISSN: 1016443X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00039-008-0669-4     Document Type: Article
Times cited : (168)

References (20)
  • 2
    • 52449095175 scopus 로고    scopus 로고
    • [Bl1] W. BLASCHKE, Über affine Geometry XIV: eine minimum Aufgabe für Legendres trägheits Ellipsoid, Ber. verh. sächs. Akad. d. Wiss. 70 (1918), 72-75.
    • [Bl1] W. BLASCHKE, Über affine Geometry XIV: eine minimum Aufgabe für Legendres trägheits Ellipsoid, Ber. verh. sächs. Akad. d. Wiss. 70 (1918), 72-75.
  • 4
    • 0001740427 scopus 로고
    • On high-dimensional maximal functions associated to convex bodies
    • [Bo] J. BOURGAIN, On high-dimensional maximal functions associated to convex bodies, Amer. J. Math. 108:6 (1986), 1467-1476.
    • (1986) Amer. J. Math , vol.108 , Issue.6 , pp. 1467-1476
    • BOURGAIN, J.1
  • 6
    • 52449085715 scopus 로고    scopus 로고
    • DG1, personal communication
    • [DG1] D. DETURCK, H. GLUCK, personal communication.
    • DETURCK, D.1    GLUCK, H.2
  • 8
    • 33750080480 scopus 로고    scopus 로고
    • Notes on isotropic convex bodies
    • preprint
    • [G] A. GIANNOPOULOS, Notes on isotropic convex bodies, preprint.
    • GIANNOPOULOS, A.1
  • 9
    • 84968521867 scopus 로고
    • Zonoids with minimal volume-product - a new proof
    • [GoMS] Y. GORDON, M. MEYER, S. REISNER, Zonoids with minimal volume-product - a new proof, Proc. Amer. Math. Soc. 104:1 (1988), 273-276.
    • (1988) Proc. Amer. Math. Soc , vol.104 , Issue.1 , pp. 273-276
    • GORDON, Y.1    MEYER, M.2    REISNER, S.3
  • 10
    • 2542563590 scopus 로고
    • Intersections of translates of convex bodies
    • [H] O. HANNER, Intersections of translates of convex bodies, Math. Scand. 4 (1956), 65-87.
    • (1956) Math. Scand , vol.4 , pp. 65-87
    • HANNER, O.1
  • 11
    • 11044236927 scopus 로고    scopus 로고
    • An isomorphic version of the slicing problem
    • [K] B. KLARTAG, An isomorphic version of the slicing problem, J. Funct. Anal. 218:2 (2005), 372-394.
    • (2005) J. Funct. Anal , vol.218 , Issue.2 , pp. 372-394
    • KLARTAG, B.1
  • 12
    • 84963056492 scopus 로고    scopus 로고
    • [Ku1] G. KUPERBERG, A low-technology estimate in convex geometry, Internat. Math. Res. Notices 1992:9 (1992), 181-183; arXiv:math.MG/9211216
    • [Ku1] G. KUPERBERG, A low-technology estimate in convex geometry, Internat. Math. Res. Notices 1992:9 (1992), 181-183; arXiv:math.MG/9211216
  • 13
    • 4243164467 scopus 로고    scopus 로고
    • [Ku2] G. KUPERBERG, The bottleneck conjecture, Geom. Topol. 3 (1999), 119-135;i arXiv:math.MG/9811119
    • [Ku2] G. KUPERBERG, The bottleneck conjecture, Geom. Topol. 3 (1999), 119-135;i arXiv:math.MG/9811119
  • 14
    • 52449083326 scopus 로고    scopus 로고
    • ZHENYANG LI, YUGUANG SHI, Maximal slice in anti-de Sitter space, arXiv:math.DG/0609278.
    • [LS] ZHENYANG LI, YUGUANG SHI, Maximal slice in anti-de Sitter space, arXiv:math.DG/0609278.
  • 15
    • 52449124418 scopus 로고    scopus 로고
    • K. MAHLER, Ein übertragungsprinzip für konvexe körper, Casopis Pêst. Mat. Fys. 68 (1939), 93-102.
    • [M] K. MAHLER, Ein übertragungsprinzip für konvexe körper, Casopis Pêst. Mat. Fys. 68 (1939), 93-102.
  • 16
    • 0003254209 scopus 로고
    • The volume of convex bodies and Banach space geometry
    • Cambridge University Press
    • [P] G. PISIER, The volume of convex bodies and Banach space geometry, Cambridge Tracts in Mathematics 94, Cambridge University Press, 1989.
    • (1989) Cambridge Tracts in Mathematics , vol.94
    • PISIER, G.1
  • 17
    • 0011378485 scopus 로고
    • Zonoids with minimal volume-product
    • [R] S. REISNER, Zonoids with minimal volume-product, Math. Z. 192:3 (1986), 339-346.
    • (1986) Math. Z , vol.192 , Issue.3 , pp. 339-346
    • REISNER, S.1
  • 18
    • 0000227188 scopus 로고
    • The difference body of a convex body
    • [RoS] C.A. ROGERS, G.C. SHEPHARD, The difference body of a convex body, Arch. Math. 8 (1957), 220-233.
    • (1957) Arch. Math , vol.8 , pp. 220-233
    • ROGERS, C.A.1    SHEPHARD, G.C.2
  • 19
    • 52449097950 scopus 로고    scopus 로고
    • J. SAINT-RAYMOND, Sur le des corps convexes symétriques, in Initiation Seminar on Analysis, 20th year: 1980/1981 (G. Choquet, M. Rogalsky, J. Saint-Raymond, eds.), Exp. No. 11, 25, Univ. Paris VI, Paris, 1981.
    • [S] J. SAINT-RAYMOND, Sur le volume des corps convexes symétriques, in "Initiation Seminar on Analysis, 20th year: 1980/1981" (G. Choquet, M. Rogalsky, J. Saint-Raymond, eds.), Exp. No. 11, 25, Univ. Paris VI, Paris, 1981.
  • 20
    • 0001052429 scopus 로고
    • Un invariante afin para los cuerpos convexos del espacio de n dimensiones
    • [Sa] L.A. SANTALÓ, Un invariante afin para los cuerpos convexos del espacio de n dimensiones, Portugaliae Math. 8 (1949), 155-161.
    • (1949) Portugaliae Math , vol.8 , pp. 155-161
    • SANTALÓ, L.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.