메뉴 건너뛰기




Volumn 79, Issue 1, 2008, Pages 141-165

Maximum principles at infinity

Author keywords

[No Author keywords available]

Indexed keywords


EID: 44649084311     PISSN: 0022040X     EISSN: None     Source Type: Journal    
DOI: 10.4310/jdg/1207834660     Document Type: Article
Times cited : (31)

References (25)
  • 3
    • 0000142915 scopus 로고
    • Stability of hypersurfaces with constant mean curvature
    • Stability of hypersurfaces with constant mean curvature, Math. Z. 185 (1984) 339-353.
    • (1984) Math. Z , vol.185 , pp. 339-353
  • 6
    • 22544443177 scopus 로고    scopus 로고
    • The geometry, conformal structure and topology of minimal surfaces with infinite topology
    • MR 2153082
    • P. Collin, R. Kusner, W.H. Meeks III, & H. Rosenberg, The geometry, conformal structure and topology of minimal surfaces with infinite topology, J. of Differential Geometry 67 (2004) 377-393, MR 2153082.
    • (2004) J. of Differential Geometry , vol.67 , pp. 377-393
    • Collin, P.1    Kusner, R.2    Meeks III, W.H.3    Rosenberg, H.4
  • 7
    • 0000362154 scopus 로고
    • On complete minimal surfaces with finite Morse index in 3-manifolds
    • MR 0808112, Zbl 0573.53038
    • D. Fischer-Colbrie, On complete minimal surfaces with finite Morse index in 3-manifolds, Invent. Math. 82 (1985) 121-132, MR 0808112, Zbl 0573.53038.
    • (1985) Invent. Math , vol.82 , pp. 121-132
    • Fischer-Colbrie, D.1
  • 8
    • 84980187204 scopus 로고
    • The structure of complete stable minimal surfaces in 3-manifolds of non-negative scalar curvature
    • MR 0562550, Zbl 439.53060
    • D. Fischer-Colbrie & R. Schoen. The structure of complete stable minimal surfaces in 3-manifolds of non-negative scalar curvature, Comm. on Pure and Appl. Math. 33 (1980) 199-211, MR 0562550, Zbl 439.53060.
    • (1980) Comm. on Pure and Appl. Math , vol.33 , pp. 199-211
    • Fischer-Colbrie, D.1    Schoen, R.2
  • 9
    • 0000936684 scopus 로고
    • The strong halfspace theorem for minimal surfaces
    • MR 1062966, Zbl 722.53054
    • D. Hoffman & W.H. Meeks III. The strong halfspace theorem for minimal surfaces, Invent. Math. 101 (1990) 373-377, MR 1062966, Zbl 722.53054.
    • (1990) Invent. Math , vol.101 , pp. 373-377
    • Hoffman, D.1    Meeks III, W.H.2
  • 10
    • 84980080977 scopus 로고
    • On harnack's theorem for elliptic differential equations
    • J.Moser. On harnack's theorem for elliptic differential equations, Comm. Pure Appl. Math. 14 (1961) 577-591,
    • (1961) Comm. Pure Appl. Math , vol.14 , pp. 577-591
    • Moser, J.1
  • 11
    • 0000962137 scopus 로고
    • A maximum principle at infinity for minimal surfaces and applications
    • MR 0975123, Zbl 0667.49024
    • R. Langevin & H. Rosenberg, A maximum principle at infinity for minimal surfaces and applications, Duke Math. J. 57(3) (1988) 819-828, MR 0975123, Zbl 0667.49024.
    • (1988) Duke Math. J , vol.57 , Issue.3 , pp. 819-828
    • Langevin, R.1    Rosenberg, H.2
  • 12
    • 0035578680 scopus 로고    scopus 로고
    • The classification of embedded doubly-periodic minimal surfaces of genus zero
    • MR 1802791, Zbl 992.18190
    • H. Lazard-Holly & W.H. Meeks III, The classification of embedded doubly-periodic minimal surfaces of genus zero, Invent. Math. 143 (2001) 1-27, MR 1802791, Zbl 992.18190.
    • (2001) Invent. Math , vol.143 , pp. 1-27
    • Lazard-Holly, H.1    Meeks III, W.H.2
  • 13
    • 0000549478 scopus 로고
    • The theory of triply-periodic minimal surfaces
    • MR 1078743, Zbl 721.53057
    • W.H. Meeks III, The theory of triply-periodic minimal surfaces, Indiana Univ. Math. J. 39(3) (1990) 877-936, MR 1078743, Zbl 721.53057.
    • (1990) Indiana Univ. Math. J , vol.39 , Issue.3 , pp. 877-936
    • Meeks III, W.H.1
  • 14
    • 22544457332 scopus 로고    scopus 로고
    • Surveys of Differential Geometry IX - Eigenvalues of Laplacian and other geometric operators
    • International Press, edited by and, MR 2195411
    • W.H. Meeks III & J. Pérez, Conformal properties in classical minimal surface theory, in 'Surveys of Differential Geometry IX - Eigenvalues of Laplacian and other geometric operators', pp. 275-336, International Press, edited by Alexander Grigor'yan and Shing-Tung Yau, 2004, MR 2195411.
    • (2004) Conformal properties in classical minimal surface theory , pp. 275-336
    • Meeks III, W.H.1    Pérez, J.2
  • 15
    • 0347131191 scopus 로고    scopus 로고
    • Uniqueness of the Riemann minimal examples
    • MR 1626477, Zbl 916.53004
    • W.H. Meeks III, J. Pérez, & A. Ros, Uniqueness of the Riemann minimal examples, Invent. Math. 133 (1998) 107-132, MR 1626477, Zbl 916.53004.
    • (1998) Invent. Math , vol.133 , pp. 107-132
    • Meeks III, W.H.1    Pérez, J.2    Ros, A.3
  • 16
    • 51249178158 scopus 로고
    • The maximum principle at infinity for minimal surfaces in flat three-manifolds
    • MR 1057243, Zbl 713.53008
    • W.H. Meeks III &: H. Rosenberg, The maximum principle at infinity for minimal surfaces in flat three-manifolds, Comment. Math. Helvetici 65 (1990) 255-270, MR 1057243, Zbl 713.53008.
    • (1990) Comment. Math. Helvetici , vol.65 , pp. 255-270
    • Meeks III, W.H.1    Rosenberg, H.2
  • 17
    • 23844549040 scopus 로고    scopus 로고
    • The uniqueness of the helicoid
    • MR 2153399
    • The uniqueness of the helicoid, Annals of Math. 161 (2005) 723-754, MR 2153399.
    • (2005) Annals of Math , vol.161 , pp. 723-754
  • 18
    • 44649198917 scopus 로고    scopus 로고
    • Properness results for constant mean curvature surfaces
    • preprint
    • W.H. Meeks III & G. Tinaglia, Properness results for constant mean curvature surfaces, preprint.
    • Meeks III, W.H.1    Tinaglia, G.2
  • 19
    • 2642522292 scopus 로고    scopus 로고
    • Plurisubharmonic functions and the structure of complete Kahler manifolds with nonegative curvature
    • L. Ni & L.F. Tam, Plurisubharmonic functions and the structure of complete Kahler manifolds with nonegative curvature, J. Differential Geom. 64(3) (2003) 457-524.
    • (2003) J. Differential Geom , vol.64 , Issue.3 , pp. 457-524
    • Ni, L.1    Tam, L.F.2
  • 20
    • 84972539418 scopus 로고
    • Isometric immersions of Riemannian manifolds
    • H. Omori, Isometric immersions of Riemannian manifolds, J. Math. Soc. Japan 19 (1967) 205-214.
    • (1967) J. Math. Soc. Japan , vol.19 , pp. 205-214
    • Omori, H.1
  • 21
    • 26444535432 scopus 로고
    • On the stability of minimal surfaces
    • MR 0630142, Zbl 0495.53005
    • A.V. Pogorelov, On the stability of minimal surfaces, Soviet Math. Dokl. 24 (1981) 274-276, MR 0630142, Zbl 0495.53005.
    • (1981) Soviet Math. Dokl , vol.24 , pp. 274-276
    • Pogorelov, A.V.1
  • 22
    • 0041796312 scopus 로고
    • Maximum principle at infinity for complete minimal surfaces in flat 3-manifolds
    • MR 1336206, Zbl 0873.53039
    • M. Soret, Maximum principle at infinity for complete minimal surfaces in flat 3-manifolds, Annals of Global Analysis and Geometry 13 (1995) 101-116, MR 1336206, Zbl 0873.53039.
    • (1995) Annals of Global Analysis and Geometry , vol.13 , pp. 101-116
    • Soret, M.1
  • 24
    • 0000589660 scopus 로고
    • Convex hulls of complete minimal surfaces
    • MR 0759107, Zbl 0528.53009
    • F. Xavier, Convex hulls of complete minimal surfaces, Math. Ann. 269 (1984) 179-182, MR 0759107, Zbl 0528.53009.
    • (1984) Math. Ann , vol.269 , pp. 179-182
    • Xavier, F.1
  • 25
    • 84980178548 scopus 로고
    • Harmonic functions on complete Riemannian manifolds
    • S.-T. Yau, Harmonic functions on complete Riemannian manifolds, Comm. Pure and Appl. Math. (1975) 201-228.
    • (1975) Comm. Pure and Appl. Math , pp. 201-228
    • Yau, S.-T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.