메뉴 건너뛰기




Volumn 4, Issue 13, 1998, Pages 91-100

Crofton formulas in projective finsler spaces

Author keywords

Crofton formulas; Finsler geometry; Hilbert's fourth problem

Indexed keywords


EID: 0002139754     PISSN: None     EISSN: 10796762     Source Type: Journal    
DOI: 10.1090/S1079-6762-98-00053-5     Document Type: Article
Times cited : (37)

References (15)
  • 3
    • 0012945207 scopus 로고    scopus 로고
    • Crofton densities, symplectic geometry, and Hilbert's fourth problem
    • V.I. Arnold, I.M. Gelfand, and V.S. Retakh (eds.), Birkhäuser, Boston, MR 98a:52005
    • J.C. Álvarez Paiva, I.M. Gelfand, and M. Smirnov, Crofton densities, symplectic geometry, and Hilbert's fourth problem, in "Arnold-Gelfand Mathematical Seminars, Geometry and Singularity Theory", V.I. Arnold, I.M. Gelfand, and V.S. Retakh (eds.), Birkhäuser, Boston, 1997, pp. 77-92. MR 98a:52005
    • (1997) Arnold-Gelfand Mathematical Seminars, Geometry and Singularity Theory , pp. 77-92
    • Álvarez Paiva, J.C.1    Gelfand, I.M.2    Smirnov, M.3
  • 4
    • 33645897003 scopus 로고
    • Symplectic geometry
    • V.I. Arnold and S.P. Novikov (Eds.), Springer- Verlag, Berlin, Heidelberg, New York, MR 88b:58044
    • V.I. Arnold and A.B. Givental, Symplectic geometry, in "Dynamical Systems IV", Encyclopaedia of Mathematical Sciences, Vol. 4, V.I. Arnold and S.P. Novikov (Eds.), Springer- Verlag, Berlin, Heidelberg, New York, 1990. MR 88b:58044
    • (1990) "Dynamical Systems IV", Encyclopaedia of Mathematical Sciences , vol.4
    • Arnold, V.I.1    Givental, A.B.2
  • 7
    • 0000167448 scopus 로고
    • Areas in affine spaces III. The integral geometry of affine area
    • MR 25:171
    • H. Busemann, Areas in affine spaces III. The integral geometry of affine area, Rend. Circ. Mat. Palermo (2) 9 (1960), 226-242. MR 25:171
    • (1960) Rend. Circ. Mat. Palermo (2) , vol.9 , pp. 226-242
    • Busemann, H.1
  • 8
    • 0007163242 scopus 로고
    • Geometries in which the planes minimize area
    • MR 26:715
    • H. Busemann, Geometries in which the planes minimize area, Ann. Mat. Pura Appl. (4) 55 (1961), 171-190. MR 26:715
    • (1961) Ann. Mat. Pura Appl. (4) , vol.55 , pp. 171-190
    • Busemann, H.1
  • 9
    • 0012820411 scopus 로고
    • Lagrangians satisfying Crofton formulas, Radon transforms, and nonlocal diérentials
    • MR 96a:53092
    • I.M. Gelfand and M. Smirnov, Lagrangians satisfying Crofton formulas, Radon transforms, and nonlocal diérentials, Adv. in Math. 109 (1994), 188-227. MR 96a:53092
    • (1994) Adv. In Math. , vol.109 , pp. 188-227
    • Gelfand, I.M.1    Smirnov, M.2
  • 11
    • 84972545941 scopus 로고
    • N-dimensional area and content in Minkowski spaces
    • MR 81k:52023
    • R.D. Holmes and A.C. Thompson, N-dimensional area and content in Minkowski spaces, Pacific J. Math. 85 (1979), 77-110. MR 81k:52023
    • (1979) Pacific J. Math , vol.85 , pp. 77-110
    • Holmes, R.D.1    Thompson, A.C.2
  • 12
    • 0003871189 scopus 로고
    • Scripta Series in Mathematics, Winston and Sons, MR 80j:53066
    • A.V. Pogorelov, "Hilbert's Fourth Problem", Scripta Series in Mathematics, Winston and Sons, 1979. MR 80j:53066
    • (1979) Hilbert's Fourth Problem
    • Pogorelov, A.V.1
  • 13
    • 0031563280 scopus 로고    scopus 로고
    • Integral geometry in Minkowski spaces
    • MR 98k:52015
    • R. Schneider and J.A. Wieacker, Integral geometry in Minkowski spaces, Adv. in Math. 129 (1997), 222-260. MR 98k:52015
    • (1997) Adv. In Math. , vol.129 , pp. 222-260
    • Schneider, R.1    Wieacker, J.A.2
  • 14
    • 38249043202 scopus 로고
    • Hilbert's fourth problem, I
    • MR 88f:53113
    • Z.I. Szabo, Hilbert's fourth problem, I, Adv. in Math. 59 (1986), 185-301. MR 88f:53113
    • (1986) Adv. In Math. , vol.59 , pp. 185-301
    • Szabo, Z.I.1
  • 15
    • 0003312776 scopus 로고    scopus 로고
    • Minkowski Geometry
    • Cambridge Univ. Press, Cambridge, MR 97f:52001
    • A.C. Thompson, "Minkowski Geometry", Encyclopedia of Math. and Its Applications, Vol. 63, Cambridge Univ. Press, Cambridge, 1996. MR 97f:52001
    • (1996) Encyclopedia of Math. And Its Applications , vol.63
    • Thompson, A.C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.