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Volumn 7, Issue 3, 1997, Pages 277-290

Geometry of Hessian manifolds

Author keywords

Albanese variety; Dual connection; Flat affine connection; Hessian manifolds; Hessian metric; Laplacian

Indexed keywords


EID: 0031232326     PISSN: 09262245     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0926-2245(96)00057-5     Document Type: Article
Times cited : (75)

References (13)
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    • Springer
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    • (1985) Lecture Notes in Statistics , vol.28
    • Amari, S.1
  • 2
    • 0001576750 scopus 로고
    • Sur les variétés analytiques complexes
    • [2] A. Blanchard, Sur les variétés analytiques complexes, Ann. Ecole Norm. Sup. 73 (1956) 157-202.
    • (1956) Ann. Ecole Norm. Sup. , vol.73 , pp. 157-202
    • Blanchard, A.1
  • 6
    • 84972577375 scopus 로고
    • Compact locally Hessian manifolds
    • [6] H. Shima, Compact locally Hessian manifolds, Osaka J. Math, 15 (1978) 509-513.
    • (1978) Osaka J. Math , vol.15 , pp. 509-513
    • Shima, H.1
  • 7
    • 0000575084 scopus 로고
    • Hessian manifolds and convexity
    • Progress in Mathematics Birkhauser, Boston, Basel
    • [7] H. Shima, Hessian manifolds and convexity, in: Manifolds and Lie Groups, Papers in Honor of Yozo Matsushima, Progress in Mathematics 14 (Birkhauser, Boston, Basel, 1981) 385-392.
    • (1981) Manifolds and Lie Groups, Papers in Honor of Yozo Matsushima , vol.14 , pp. 385-392
    • Shima, H.1
  • 8
    • 0002862423 scopus 로고
    • Homogeneous Hessian manifolds
    • [8] H. Shima, Homogeneous Hessian manifolds, Ann. Inst. Fourier 30 (1980) 91-128.
    • (1980) Ann. Inst. Fourier , vol.30 , pp. 91-128
    • Shima, H.1
  • 9
    • 0010871054 scopus 로고
    • Vanishing theorems for compact Hessian manifolds
    • [9] H. Shima, Vanishing theorems for compact Hessian manifolds, Ann. Inst. Fourier 36 (1986) 183-205.
    • (1986) Ann. Inst. Fourier , vol.36 , pp. 183-205
    • Shima, H.1
  • 11
    • 0010921247 scopus 로고
    • Harmonicity of gradient mappings of level surfaces in a real affine space
    • [11] H. Shima, Harmonicity of gradient mappings of level surfaces in a real affine space, Geometriae Dedicata 56 (1995) 177-184.
    • (1995) Geometriae Dedicata , vol.56 , pp. 177-184
    • Shima, H.1
  • 12
    • 85008579614 scopus 로고
    • Space forms of Hessian manifolds
    • [12] H. Shima, Space forms of Hessian manifolds, J. Math. Soc. Japan 47 (1995) 735-753.
    • (1995) J. Math. Soc. Japan , vol.47 , pp. 735-753
    • Shima, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.