메뉴 건너뛰기
Acta Mathematica
Volumn 183, Issue 1, 1999, Pages 45-70
Convexity estimates for mean curvature flow and singularities of mean convex surfaces
Author keywords

[No Author keywords available]
Indexed keywords

EID: 0003375517     PISSN: 00015962     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02392946     Document Type: Article
Times cited : (343)
References (14)
  • 1
    • 33751506755 scopus 로고
    • Contraction of convex hypersurfaces in euclidean space
    • ANDREWS, B., Contraction of convex hypersurfaces in Euclidean space. Calc. Var. Partial Differential Equations, 2 (1994), 151-171.
    • (1994) Calc. Var. Partial Differential Equations , vol.2 , pp. 151-171
    • Andrews, B.1
  • 2
    • 0000658663 scopus 로고
    • The Dirichlet problem for nonlinear second order elliptic equations, III: Functions of the eigenvalues of the Hessian
    • CAFFARELLI, L., NIRENBERG, L. & SPRUCK, J., The Dirichlet problem for nonlinear second order elliptic equations, III: Functions of the eigenvalues of the Hessian. Acta Math., 155 (1985), 261-301.
    • (1985) Acta Math. , vol.155 , pp. 261-301
    • Caffarelli, L.1    Nirenberg, L.2    Spruck, J.3
  • 3
    • 0000078158 scopus 로고
    • An inequality for hyperbolic polynomials
    • CÅRDING, L., An inequality for hyperbolic polynomials. J. Math. Mech., 8 (1959), 957-965.
    • (1959) J. Math. Mech. , vol.8 , pp. 957-965
    • Cårding, L.1
  • 4
    • 84972555746 scopus 로고
    • Four-manifolds with positive curvature operator
    • HAMILTON, R. S., Four-manifolds with positive curvature operator. J. Differential Geom., 24 (1986), 153-179.
    • (1986) J. Differential Geom. , vol.24 , pp. 153-179
    • Hamilton, R.S.1
  • 5
    • 0001825291 scopus 로고
    • The formation of singularities in the Ricci flow
    • Cambridge, MA, Internat. Press, Cambridge, MA, 1993
    • _ The formation of singularities in the Ricci flow, in Surveys in Differential Geometry, Vol. II (Cambridge, MA, 1993), pp. 7-136. Internat. Press, Cambridge, MA, 1993.
    • (1993) Surveys in Differential Geometry , vol.2 , pp. 7-136
  • 6
    • 84972487960 scopus 로고
    • Harnack estimate for the mean curvature flow
    • _ Harnack estimate for the mean curvature flow. J. Differential Geom., 41 (1995), 215-226.
    • (1995) J. Differential Geom. , vol.41 , pp. 215-226
  • 8
    • 84972507688 scopus 로고
    • Flow by mean curvature of convex surfaces into spheres
    • HUISKEN, G., Flow by mean curvature of convex surfaces into spheres. J. Differential Geom., 20 (1984), 237-266.
    • (1984) J. Differential Geom. , vol.20 , pp. 237-266
    • Huisken, G.1
  • 9
    • 0000045591 scopus 로고
    • Contracting convex hypersurfaces in riemannian manifolds by their mean curvature
    • _ Contracting convex hypersurfaces in Riemannian manifolds by their mean curvature. Invent. Math., 84 (1986), 463-480.
    • (1986) Invent. Math. , vol.84 , pp. 463-480
  • 10
    • 84972527004 scopus 로고
    • Asymptotic behaviour for singularities of the mean curvature flow
    • _ Asymptotic behaviour for singularities of the mean curvature flow. J. Differential Geom., 31 (1990), 285-299.
    • (1990) J. Differential Geom. , vol.31 , pp. 285-299
  • 11
    • 0002977655 scopus 로고
    • Local and global behaviour of hypersurfaces moving by mean curvature
    • _ Local and global behaviour of hypersurfaces moving by mean curvature. Proc. Sympos. Pure Math., 54 (1993), 175-191.
    • (1993) Proc. Sympos. Pure Math. , vol.54 , pp. 175-191
  • 13
    • 0040175888 scopus 로고
    • Inequalities for symmetric functions and hermitian matrices
    • MARCUS, M. & LOPES, L., Inequalities for symmetric functions and Hermitian matrices. Canad. J. Math., 9 (1957), 305-312.
    • (1957) Canad. J. Math. , vol.9 , pp. 305-312
    • Marcus, M.1    Lopes, L.2
  • 14
    • 0031987423 scopus 로고    scopus 로고
    • Starshaped hypersurfaces and the mean curvature flow
    • SMOCZYK, K., Starshaped hypersurfaces and the mean curvature flow. Manuscripta Math., 95 (1998), 225-236.
    • (1998) Manuscripta Math. , vol.95 , pp. 225-236
    • Smoczyk, K.1

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.