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Volumn 123, Issue 2, 2001, Pages 255-274

Affine spheres and convex ℝℙn-manifolds

(1)  Loftin, John C a  

a NONE

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EID: 0035315536     PISSN: 00029327     EISSN: None     Source Type: Journal    
DOI: 10.1353/ajm.2001.0011     Document Type: Article
Times cited : (133)

References (33)
  • 2
    • 0000008397 scopus 로고
    • Sur les variétés localement affines et projectives
    • J. P. Benzécri, Sur les variétés localement affines et projectives, Bull. Soc. Math. France 88 (1960), 229-332.
    • (1960) Bull. Soc. Math. France , vol.88 , pp. 229-332
    • Benzécri, J.P.1
  • 4
    • 0002842921 scopus 로고
    • Complete affine hyperspheres I
    • Academic Press, London
    • E. Calabi, Complete affine hyperspheres I, Sympos. Math., vol. 10, Academic Press, London, 1972, pp. 19-38.
    • (1972) Sympos. Math. , vol.10 , pp. 19-38
    • Calabi, E.1
  • 5
    • 0007180338 scopus 로고
    • Géometrie différentielle affine des hypersurfaces
    • Springer-Verlag, New York
    • _, Géometrie différentielle affine des hypersurfaces, Séminaire Bourbaki, Lecture Notes in Math., vol. 901, Springer-Verlag, New York, 1981, pp. 189-204.
    • (1981) Séminaire Bourbaki, Lecture Notes in Math. , vol.901 , pp. 189-204
  • 7
    • 84980167518 scopus 로고
    • On the existence of a complete kähler metric on noncompact complex manifolds and the regularity of fefferman's equation
    • _, On the existence of a complete Kähler metric on noncompact complex manifolds and the regularity of Fefferman's equation, Comm. Pure Appl. Math. 33 (1980), 507-544.
    • (1980) Comm. Pure Appl. Math. , vol.33 , pp. 507-544
  • 8
    • 84990581920 scopus 로고
    • Complete affine hyperspheres. Part I. The completeness of affine metrics
    • _, Complete affine hyperspheres. part I. The completeness of affine metrics, Comm. Pure Appl. Math. 39 (1986), 839-866.
    • (1986) Comm. Pure Appl. Math. , vol.39 , pp. 839-866
  • 9
    • 84966214313 scopus 로고
    • Convex real projective structures on closed surfaces are closed
    • S. Choi and W. M. Goldman, Convex real projective structures on closed surfaces are closed, Proc. Amer. Math. Soc. 118 (1993), 657-661.
    • (1993) Proc. Amer. Math. Soc. , vol.118 , pp. 657-661
    • Choi, S.1    Goldman, W.M.2
  • 10
    • 0039768877 scopus 로고    scopus 로고
    • The classification of real projective structures on compact surfaces
    • _, The classification of real projective structures on compact surfaces. Bull. Amer. Math. Soc. (N. S.) 34 (1997), 161-171.
    • (1997) Bull. Amer. Math. Soc. (N. S.) , vol.34 , pp. 161-171
  • 11
    • 0001323916 scopus 로고    scopus 로고
    • Deformation spaces of convex real projective and hyperbolic affine structures
    • M.-R. Darvishzadeh and W. M. Goldman, Deformation spaces of convex real projective and hyperbolic affine structures, J. Korean Math. Soc. 33 (1996), 625-638.
    • (1996) J. Korean Math. Soc. , vol.33 , pp. 625-638
    • Darvishzadeh, M.-R.1    Goldman, W.M.2
  • 12
    • 84972498310 scopus 로고
    • Integral invariants of convex cones
    • S. Gigena, Integral invariants of convex cones, J. Differential Geom. 13 (1978), 191-222.
    • (1978) J. Differential Geom. , vol.13 , pp. 191-222
    • Gigena, S.1
  • 13
    • 0001336664 scopus 로고
    • On a conjecture by E. Calabi
    • _, On a conjecture by E. Calabi, Geom. Dedicata 11 (1981), 387-396.
    • (1981) Geom. Dedicata , vol.11 , pp. 387-396
  • 14
    • 0004187420 scopus 로고
    • Projective geometry on manifolds
    • Spring, University of Maryland
    • W. M. Goldman, Projective geometry on manifolds, Lecture Notes for Mathematics 748B, Spring 1988, University of Maryland.
    • (1988) Lecture Notes for Mathematics 748B
    • Goldman, W.M.1
  • 15
    • 84972493825 scopus 로고
    • Convex real projective structures on compact surfaces
    • _, Convex real projective structures on compact surfaces, J. Differential Geom. 31 (1990), 791-845.
    • (1990) J. Differential Geom. , vol.31 , pp. 791-845
  • 16
    • 84961469301 scopus 로고
    • The symplectic geometry of affine connections on surfaces
    • _, The symplectic geometry of affine connections on surfaces, J. Reine Agnew. Math. 407 (1990), 126-159.
    • (1990) J. Reine Agnew. Math. , vol.407 , pp. 126-159
  • 18
    • 44049115458 scopus 로고
    • Lie groups and teichmüller space
    • N. J. Hitchin, Lie groups and Teichmüller space, Topology 31 (1992), 449-473.
    • (1992) Topology , vol.31 , pp. 449-473
    • Hitchin, N.J.1
  • 21
    • 0002451203 scopus 로고
    • On convex locally-projective spaces
    • Edizioni Cremonese, Rome
    • N. Kuiper, On convex locally-projective spaces, Convegno Int. Geometria Diff., Edizioni Cremonese, Rome, 1954, pp. 200-213.
    • (1954) Convegno Int. Geometria Diff. , pp. 200-213
    • Kuiper, N.1
  • 24
    • 51249173467 scopus 로고
    • Calabi conjecture on hyperbolic affine hyperspheres
    • A.-M. Li, Calabi conjecture on hyperbolic affine hyperspheres, Math. Z. 203 (1990), 483-491.
    • (1990) Math. Z. , vol.203 , pp. 483-491
    • Li, A.-M.1
  • 25
    • 0001540973 scopus 로고
    • Calabi conjecture on hyperbolic affine hyperspheres (2)
    • _, Calabi conjecture on hyperbolic affine hyperspheres (2), Math. Ann. 293 (1992), 485-493.
    • (1992) Math. Ann. , vol.293 , pp. 485-493
  • 26
    • 0003058347 scopus 로고
    • Partial differential equations invariant under conformal or projective transformations
    • Academic Press, New York
    • C. Loewner and L. Nirenberg, Partial differential equations invariant under conformal or projective transformations, Contributions to Analysis. Academic Press, New York, 1974, pp. 245-272.
    • (1974) Contributions to Analysis , pp. 245-272
    • Loewner, C.1    Nirenberg, L.2
  • 27
    • 0007324643 scopus 로고    scopus 로고
    • Ph.D. thesis, Harvard University, June
    • 2 surfaces, Ph.D. thesis, Harvard University, June, 1999.
    • (1999) 2 Surfaces
    • Loftin, J.C.1
  • 29
    • 84972491011 scopus 로고
    • Hyperbolic affine hyperspheres
    • T. Sasaki, Hyperbolic affine hyperspheres, Nagoya Math. J. 77 (1980), 107-123.
    • (1980) Nagoya Math. J. , vol.77 , pp. 107-123
    • Sasaki, T.1


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