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Volumn 120, Issue 1, 1998, Pages 103-116

On stable complete minimal hypersurfaces in Rn+1

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EID: 0009311978     PISSN: 00029327     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (64)

References (22)
  • 2
    • 0041069652 scopus 로고
    • Local estimates for minimal submanifolds in dimensions greater than two
    • Amer. Math. Soc., Providence, RI
    • _, Local estimates for minimal submanifolds in dimensions greater than two Proc. Sympos. Pure Math., vol. 44, Amer. Math. Soc., Providence, RI, 1986, pp. 131-137.
    • (1986) Proc. Sympos. Pure Math. , vol.44 , pp. 131-137
  • 3
    • 84968468726 scopus 로고
    • Ricci curvature bounds and Einstein metrics on compact manifolds
    • _, Ricci curvature bounds and Einstein metrics on compact manifolds, J. Amer. Math. Soc. 2 (1989), 455-490.
    • (1989) J. Amer. Math. Soc. , vol.2 , pp. 455-490
  • 6
    • 84972535477 scopus 로고
    • Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds
    • J. Cheeger, M. Gromov, and M. Tayler, Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds, J. Differential Geom. 17 (1982), 15-53.
    • (1982) J. Differential Geom. , vol.17 , pp. 15-53
    • Cheeger, J.1    Gromov, M.2    Tayler, M.3
  • 7
    • 0000755701 scopus 로고
    • The space of minimal embeddings of a surface into a three dimensional manifold of positive Ricci curvature
    • H. I. Choi and R. Schoen, The space of minimal embeddings of a surface into a three dimensional manifold of positive Ricci curvature, Invent. Math. 81 (1985), 387-394.
    • (1985) Invent. Math. , vol.81 , pp. 387-394
    • Choi, H.I.1    Schoen, R.2
  • 10
    • 0000362154 scopus 로고
    • On complete minimal surfaces with finite Morse index in three manifolds
    • D. Fischer-Colbrie, On complete minimal surfaces with finite Morse index in three manifolds. Invent. Math. 82 (1985), 121-132.
    • (1985) Invent. Math. , vol.82 , pp. 121-132
    • Fischer-Colbrie, D.1
  • 11
    • 84980187204 scopus 로고
    • The structure of complete stable minimal surfaces in 3-manifolds of nonnegative scalar curvature
    • D. Fischer-Colbrie and R. Schoen, The structure of complete stable minimal surfaces in 3-manifolds of nonnegative scalar curvature, Comm. Pure Appl. Math. 33 (1980), 199-211.
    • (1980) Comm. Pure Appl. Math. , vol.33 , pp. 199-211
    • Fischer-Colbrie, D.1    Schoen, R.2
  • 12
    • 84972568148 scopus 로고
    • Lipschitz convergence of Riemannian manifolds
    • R. Greene and H. Wu, Lipschitz convergence of Riemannian manifolds, Pacific J. Math. 131 (1988), pp. 119-141.
    • (1988) Pacific J. Math. , vol.131 , pp. 119-141
    • Greene, R.1    Wu, H.2
  • 14
    • 84980186088 scopus 로고
    • Sobolev and isoperimetric inequalities for Riemannian submanifolds
    • D. Hoffman and J. Spruck, Sobolev and isoperimetric inequalities for Riemannian submanifolds, Comm. Pure Appl. Math. 27 (1975), 715-727.
    • (1975) Comm. Pure Appl. Math. , vol.27 , pp. 715-727
    • Hoffman, D.1    Spruck, J.2
  • 15
    • 84972545489 scopus 로고
    • Uniqueness, symmerty, and embeddedness of minimal surfaces
    • R. Schoen, Uniqueness, symmerty, and embeddedness of minimal surfaces, J. Differential Geom. 18 (1983), 791-809.
    • (1983) J. Differential Geom. , vol.18 , pp. 791-809
    • Schoen, R.1
  • 16
    • 84980170110 scopus 로고
    • Regularity of stable minimal hypersurfaces
    • R. Schoen and L. Simon, Regularity of stable minimal hypersurfaces, Comm. Pure Appl. Math. 34 (1981), 741-797.
    • (1981) Comm. Pure Appl. Math. , vol.34 , pp. 741-797
    • Schoen, R.1    Simon, L.2
  • 17
    • 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
  • 18
    • 0002460686 scopus 로고
    • Minimal varieties in Riemannian manifolds
    • J. Simons, Minimal varieties in Riemannian manifolds, Ann. of Math. 88 (1968), 62-105.
    • (1968) Ann. of Math. , vol.88 , pp. 62-105
    • Simons, J.1
  • 19
    • 0001984784 scopus 로고
    • On Calabi's conjecture for complex surfaces with positive first Chern class
    • G. Tian, On Calabi's conjecture for complex surfaces with positive first Chern class, Invent. Math. 101 (1990), 101-172.
    • (1990) Invent. Math. , vol.101 , pp. 101-172
    • Tian, G.1
  • 20
    • 84966210385 scopus 로고
    • Finiteness of index and total scalar curvature for minimal hypersurfaces
    • T. Tysk, Finiteness of index and total scalar curvature for minimal hypersurfaces, Proc. Amer. Math. Soc. 105 (1989), 429-435.
    • (1989) Proc. Amer. Math. Soc. , vol.105 , pp. 429-435
    • Tysk, T.1
  • 21
    • 0003111108 scopus 로고
    • Convergence of Riemannian manifolds with integral bounds on curvature 1
    • D. Yang, Convergence of Riemannian manifolds with integral bounds on curvature 1, Ann. Sci. École Norm. Sup. 25 (1992), 77-105.
    • (1992) Ann. Sci. École Norm. Sup. , vol.25 , pp. 77-105
    • Yang, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.