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Volumn 305, Issue 1, 1996, Pages 311-327

Symmetry and uniqueness of parabolic affine spheres

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EID: 0039056063     PISSN: 00255831     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf01444223     Document Type: Article
Times cited : (23)

References (16)
  • 2
    • 0002019195 scopus 로고
    • Uniqueness theorems for surfaces in the large I
    • Russian
    • Alexandrov, A.D.: Uniqueness theorems for surfaces in the large I, (Russian) Vestnik Leningrad Univ. Math. 11, 5-17 (1956).
    • (1956) Vestnik Leningrad Univ. Math. , vol.11 , pp. 5-17
    • Alexandrov, A.D.1
  • 4
    • 0002842921 scopus 로고
    • Complete affine hyperspheres I
    • Calabi, E.: Complete affine hyperspheres I, 1st. Naz. Alta Mat. Sym. Mat. Vol. X, 19-38 (1972).
    • (1972) 1st. Naz. Alta Mat. Sym. Mat , vol.10 , pp. 19-38
    • Calabi, E.1
  • 5
    • 0000057533 scopus 로고
    • Improper affine hyperspheres of convex type and a generalization of a theorem by K. Jörgens
    • Calabi, E.: Improper affine hyperspheres of convex type and a generalization of a theorem by K. Jörgens, Mich. Math. J. 5, 108-126 (1958).
    • (1958) Mich. Math. J. , vol.5 , pp. 108-126
    • Calabi, E.1
  • 6
    • 34250271532 scopus 로고
    • Symmetry and related properties via the maximum principle
    • Gidas, B., Ni, W. M., Nirenberg, L.: Symmetry and related properties via the maximum principle, Comm. Math. Phys. 68, 209-243 (1979).
    • (1979) Comm. Math. Phys. , vol.68 , pp. 209-243
    • Gidas, B.1    Ni, W.M.2    Nirenberg, L.3
  • 8
    • 0039097648 scopus 로고
    • Maximum principles for minimal surfaces and for surfaces of continuous mean curvature
    • Hildebrant, S. : Maximum principles for minimal surfaces and for surfaces of continuous mean curvature, Math. Z. 128, 157-173 (1972).
    • (1972) Math. Z. , vol.128 , pp. 157-173
    • Hildebrant, S.1
  • 10
    • 0000962137 scopus 로고
    • A maximum principle at infinity foi minimal surfaces and applications
    • Langevin, R., Rosenberg, H.: A Maximum principle at infinity foi minimal surfaces and applications, Duke Math. J., Vol. 57, No.3, 819-828 (1988).
    • (1988) Duke Math. J. , vol.57 , Issue.3 , pp. 819-828
    • Langevin, R.1    Rosenberg, H.2
  • 13
    • 84972545489 scopus 로고
    • Uniqueness, symmetry, and embeddedness of minimal surfaces
    • Schoen, R.M.: Uniqueness, symmetry, and embeddedness of minimal surfaces, J. Differential Geometry 18, 791-809 (1983).
    • (1983) J. Differential Geometry , vol.18 , pp. 791-809
    • Schoen, R.M.1
  • 14
    • 0013489834 scopus 로고
    • On surfaces of stationary area bounded by two circles, or convex curves, in parallel planes
    • Shiffman, M.: On surfaces of stationary area bounded by two circles, or convex curves, in parallel planes, Ann. of Math. 63, 77-90 (1956).
    • (1956) Ann. of Math. , vol.63 , pp. 77-90
    • Shiffman, M.1
  • 15
    • 0005544152 scopus 로고
    • Science Press, Beijing. Gordon and Breach, New York
    • Su, B.: Affine Differential Geometry. Science Press, Beijing. Gordon and Breach, New York 1983.
    • (1983) Affine Differential Geometry
    • Su, B.1
  • 16
    • 84972496334 scopus 로고
    • The spherical images of convex hypersurfaces
    • Wu, H.: The spherical images of convex hypersurfaces, J. Differential Geometry 9, 279-290 (1974).
    • (1974) J. Differential Geometry , vol.9 , pp. 279-290
    • Wu, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.