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Volumn 68, Issue 3, 2000, Pages 285-300

Contracting spacelike hypersurfaces by their inverse mean curvature

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EID: 0039179691     PISSN: 14467887     EISSN: None     Source Type: Journal    
DOI: 10.1017/s1446788700001385     Document Type: Article
Times cited : (7)

References (23)
  • 1
    • 0000624702 scopus 로고
    • Existence of maximal surfaces in asymptotically flat spacetimes
    • R. Bartnik, 'Existence of maximal surfaces in asymptotically flat spacetimes', Comm. Math. Phys. 94 (1984), 155-175.
    • (1984) Comm. Math. Phys. , vol.94 , pp. 155-175
    • Bartnik, R.1
  • 2
    • 34250086700 scopus 로고
    • Remarks on cosmological spacetimes and constant mean curvature surfaces
    • _, 'Remarks on cosmological spacetimes and constant mean curvature surfaces', Comm. Math. Phys. 117 (1988), 615-624.
    • (1988) Comm. Math. Phys. , vol.117 , pp. 615-624
  • 3
    • 0000884852 scopus 로고
    • Maximal space-like hypersurfaces in the Lorentz-Minkowski spaces
    • S.-Y. Cheng and S.-T. Yau, 'Maximal space-like hypersurfaces in the Lorentz-Minkowski spaces', Ann. of Math. 104 (1976), 405-419.
    • (1976) Ann. of Math. , vol.104 , pp. 405-419
    • Cheng, S.-Y.1    Yau, S.-T.2
  • 4
    • 0011373712 scopus 로고
    • Maximal submanifolds and submanifolds with constant mean extrinsic curvature of a Lorentzian manifold
    • Y. Choquet-Bruhat, 'Maximal submanifolds and submanifolds with constant mean extrinsic curvature of a Lorentzian manifold', Ann. Scuola Norm. Sup. Pisa 3 (1976), 361-376.
    • (1976) Ann. Scuola Norm. Sup. Pisa , vol.3 , pp. 361-376
    • Choquet-Bruhat, Y.1
  • 5
    • 0001673425 scopus 로고
    • Interior estimates for hypersurfaces moving by mean curvature
    • K. Ecker and G. Huisken, 'Interior estimates for hypersurfaces moving by mean curvature', Invent. Math. 105 (1991), 547-569.
    • (1991) Invent. Math. , vol.105 , pp. 547-569
    • Ecker, K.1    Huisken, G.2
  • 6
    • 0001556478 scopus 로고
    • Parabolic methods for the construction of spacelike slices of prescribed mean curvature in cosmological spacetimes
    • _, 'Parabolic methods for the construction of spacelike slices of prescribed mean curvature in cosmological spacetimes', Comm. Math. Phys. 35 (1991), 595-613.
    • (1991) Comm. Math. Phys. , vol.35 , pp. 595-613
  • 7
    • 22544445636 scopus 로고
    • Topics in the dynamics of general relativity, in isolated gravitating systems in general relativity
    • A. Fischer and J. Marsden, 'Topics in the dynamics of general relativity, in isolated gravitating systems in general relativity', Italian Phys. Soc. (1979), 322-395.
    • (1979) Italian Phys. Soc. , pp. 322-395
    • Fischer, A.1    Marsden, J.2
  • 8
    • 0001301252 scopus 로고
    • H-surfaces in Lorentzian manifolds
    • C. Gerhardt, 'H-surfaces in Lorentzian manifolds', Comm. Math. Phys. 89 (1983), 523-553.
    • (1983) Comm. Math. Phys. , vol.89 , pp. 523-553
    • Gerhardt, C.1
  • 9
    • 84972495800 scopus 로고
    • Flow of nonconvex hypersurfaces into spheres
    • _, 'Flow of nonconvex hypersurfaces into spheres', J. Differential Geom. 32 (1990), 299-314.
    • (1990) J. Differential Geom. , vol.32 , pp. 299-314
  • 10
    • 84972513449 scopus 로고
    • Three-manifolds with positive Ricci curvature
    • R. S. Hamilton, 'Three-manifolds with positive Ricci curvature', J. Differential Geom. 17 (1982), 255-306.
    • (1982) J. Differential Geom. , vol.17 , pp. 255-306
    • Hamilton, R.S.1
  • 11
    • 84972555746 scopus 로고
    • Four-manifolds with positive curvature operator
    • _, 'Four-manifolds with positive curvature operator', J. Differential Geom. 24 (1986), 153-179.
    • (1986) J. Differential Geom. , vol.24 , pp. 153-179
  • 12
    • 0039164620 scopus 로고
    • Hawaii
    • _, Lecture notes (Hawaii, 1989).
    • (1989) Lecture Notes
  • 14
    • 84972507688 scopus 로고
    • Flow by mean curvature of convex surfaces into spheres
    • G. Huisken, 'Flow by mean curvature of convex surfaces into spheres', J. Differential Geom. 10 (1984), 237-266.
    • (1984) J. Differential Geom. , vol.10 , pp. 237-266
    • Huisken, G.1
  • 15
    • 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
  • 16
    • 0039164619 scopus 로고
    • Deforming hypersurfaces of the sphere by their mean curvature
    • _, 'Deforming hypersurfaces of the sphere by their mean curvature', Math. Z. 195 (1987), 205-219.
    • (1987) Math. Z. , vol.195 , pp. 205-219
  • 20
    • 84972494584 scopus 로고
    • On maximal space-like hypersurfaces in a Lorentzian manifold
    • S. Nishikawa, 'On maximal space-like hypersurfaces in a Lorentzian manifold', Nagoya Math. J. 95 (1984), 117-124.
    • (1984) Nagoya Math. J. , vol.95 , pp. 117-124
    • Nishikawa, S.1
  • 22
    • 0001114041 scopus 로고
    • Curvature estimates for minimal hypersurfaces
    • R. Schoen, L. Simon and S.-T. Yau, 'Curvature estimates for minimal hypersurfaces', Acta Math. 134 (1975), 275-288.
    • (1975) Acta Math. , vol.134 , pp. 275-288
    • Schoen, R.1    Simon, L.2    Yau, S.-T.3
  • 23
    • 51249178113 scopus 로고
    • On the expansion of starshaped hypersurfaces by symmetric functions of their principal curvatures
    • J. I. E. Urbas, 'On the expansion of starshaped hypersurfaces by symmetric functions of their principal curvatures', Math. Z. 205 (1990), 355-372.
    • (1990) Math. Z. , vol.205 , pp. 355-372
    • Urbas, J.I.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.