메뉴 건너뛰기




Volumn 138, Issue 1, 1999, Pages 151-161

Gauss curvature flow: The fate of the rolling stones

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0033239066     PISSN: 00209910     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002220050344     Document Type: Article
Times cited : (281)

References (14)
  • 1
    • 33751506755 scopus 로고
    • Contraction of convex hypersurfaces in Euclidean space
    • [A1] B. Andrews, Contraction of convex hypersurfaces in Euclidean space, Calc. Var. 2 (1994), 151-171
    • (1994) Calc. Var. , vol.2 , pp. 151-171
    • Andrews, B.1
  • 2
    • 0039066881 scopus 로고    scopus 로고
    • Preprint MRR 009-98, Centre for Mathematics and its Applications, Australian National University
    • [A2] B. Andrews, Motion of hypersurfaces by Gauss Curvature, Preprint MRR 009-98, Centre for Mathematics and its Applications, Australian National University, 1998
    • (1998) Motion of Hypersurfaces by Gauss Curvature
    • Andrews, B.1
  • 3
    • 84972529405 scopus 로고
    • Deforming convex hypersurfaces by the nth root of the Gaussian curvature
    • [Ch1] B. Chow, Deforming convex hypersurfaces by the nth root of the Gaussian curvature, J. Differential Geometry 23 (1985), 117-138
    • (1985) J. Differential Geometry , vol.23 , pp. 117-138
    • Chow, B.1
  • 4
    • 84990555321 scopus 로고
    • On Harnack's inequality and entropy for the Gaussian curvature flow
    • [Ch2] B. Chow, On Harnack's inequality and entropy for the Gaussian curvature flow, Comm. Pure Appl. Math. 44 (1991), 469-483
    • (1991) Comm. Pure Appl. Math. , vol.44 , pp. 469-483
    • Chow, B.1
  • 5
    • 84966244873 scopus 로고
    • On the shapes of worn stones
    • [F] W.J. Firey, On the shapes of worn stones, Mathematika 21 (1974), 1-11
    • (1974) Mathematika , vol.21 , pp. 1-11
    • Firey, W.J.1
  • 6
    • 84972555746 scopus 로고
    • Four-manifolds with positive curvature operator
    • [Ha1] R.S. Hamilton, Four-manifolds with positive curvature operator, J. Differential Geometry 24 (1986), 153-179
    • (1986) J. Differential Geometry , vol.24 , pp. 153-179
    • Hamilton, R.S.1
  • 7
    • 0002828523 scopus 로고
    • Worn stones with flat sides
    • "A tribute to Ilya Bakelman" (College Station, TX 1993)
    • [Ha2] R.S. Hamilton, Worn stones with flat sides, in "A tribute to Ilya Bakelman" (College Station, TX 1993), Discourses Math. Appl. 3 (1994), 69-78
    • (1994) Discourses Math. Appl. , vol.3 , pp. 69-78
    • Hamilton, R.S.1
  • 8
    • 0009195523 scopus 로고
    • Remarks on the entropy and Harnack estimates for the Gauss curvature flow
    • [Ha3] R.S. Hamilton, Remarks on the entropy and Harnack estimates for the Gauss curvature flow, Comm. Analysis and Geometry 2 (1994), 155-165
    • (1994) Comm. Analysis and Geometry , vol.2 , pp. 155-165
    • Hamilton, R.S.1
  • 9
    • 0032118608 scopus 로고    scopus 로고
    • Self-similar solutions for the Gauss curvature evolution of rotationally symmetric surfaces
    • [I] N. Ishimura, Self-similar solutions for the Gauss curvature evolution of rotationally symmetric surfaces, Nonlinear Anal. 33 (1998), 97-104
    • (1998) Nonlinear Anal. , vol.33 , pp. 97-104
    • Ishimura, N.1
  • 10
    • 0009201525 scopus 로고
    • On a problem of W.J. Firey in connection with the characterisation of spheres
    • [L] K. Leichtweiss, On a problem of W.J. Firey in connection with the characterisation of spheres, Mathematika Pannonica 6 (1995), 67-75
    • (1995) Mathematika Pannonica , vol.6 , pp. 67-75
    • Leichtweiss, K.1
  • 11
    • 84972497535 scopus 로고
    • On the regularity of solutions to a generalisation of the Minkowski problem
    • [LO] E. Lutwak & V. Oliker, On the regularity of solutions to a generalisation of the Minkowski problem, J. Differential Geometry 41 (1995), 227-246
    • (1995) J. Differential Geometry , vol.41 , pp. 227-246
    • Lutwak, E.1    Oliker, V.2
  • 12
    • 0001659748 scopus 로고
    • Evolution of nonparametric surfaces with speed depending on curvature, I. The Gauss curvature case
    • [O1] V. Oliker, Evolution of nonparametric surfaces with speed depending on curvature, I. The Gauss curvature case, Indiana Math. J. 40 (1991), 237-258
    • (1991) Indiana Math. J. , vol.40 , pp. 237-258
    • Oliker, V.1
  • 13
    • 0009195524 scopus 로고
    • Self-similar solutions and asymptotic behaviour of flows of nonparametric surfaces driven by Gauss or mean curvature
    • [O2] V. Oliker, Self-similar solutions and asymptotic behaviour of flows of nonparametric surfaces driven by Gauss or mean curvature, Proc. Symp. Pure Math. 54 (1993), 389-402
    • (1993) Proc. Symp. Pure Math. , vol.54 , pp. 389-402
    • Oliker, V.1
  • 14
    • 84990622731 scopus 로고
    • Deforming a hypersurface by its Gauss-Kronecker curvature
    • [T] K.S. Chou (Kaiseng Tso), Deforming a hypersurface by its Gauss-Kronecker curvature, Comm. Pure Math. Appl. 38 (1985), 867-882
    • (1985) Comm. Pure Math. Appl. , vol.38 , pp. 867-882
    • Chou, K.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.