메뉴 건너뛰기




Volumn 125, Issue 12, 1997, Pages 3705-3714

Compact hermitian surfaces of constant antiholomorphic sectional curvatures

Author keywords

Antiholomorphic riemannian and antiholomorphic herrnitian sectional curvatures; Compact hermitian surfaces; Self dual hermitian surfaces

Indexed keywords


EID: 21944433346     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9939-97-04043-4     Document Type: Article
Times cited : (8)

References (22)
  • 1
    • 33645935690 scopus 로고    scopus 로고
    • Compact self-dual Hermitian surfaces
    • MR 96j:53040
    • V.Apostolov, J.Davidov, O.Muskarov, Compact self-dual Hermitian surfaces., Trans. A.M.S. 348 (1996), 3051-3063. MR 96j:53040
    • (1996) Trans. A.M.S. , vol.348 , pp. 3051-3063
    • Apostolov, V.1    Davidov, J.2    Uskarov, O.M.3
  • 2
    • 0000357972 scopus 로고
    • Compact Hermitian manifolds of constant holomorphic sectional curvature
    • MR 86f:53072
    • A.Balas , Compact Hermitian manifolds of constant holomorphic sectional curvature., Math. Z. 189 (1985), 193-210. MR 86f:53072
    • (1985) Math. Z. , vol.189 , pp. 193-210
    • Balas, A.1
  • 3
    • 0002403476 scopus 로고
    • Any Hermitian metric of constant non-positive (Hermitian) holomorphic sectional curvature on a compact complex surface is Kahler
    • MR 86k:53066
    • A.Balas, P.Gauduchon, Any Hermitian metric of constant non-positive (Hermitian) holomorphic sectional curvature on a compact complex surface is Kahler., Math. Z. 190 (1985), 39-43. MR 86k:53066
    • (1985) Math. Z. , vol.190 , pp. 39-43
    • Balas, A.1    Gauduchon, P.2
  • 4
    • 34250245407 scopus 로고
    • Les variétés de dimension 4 àsignature non nulle dont la courbure est harmonique sont d'Einstein
    • MR 82g:53051
    • J.P.Bourguignon, Les variétés de dimension 4 àsignature non nulle dont la courbure est harmonique sont d'Einstein, Invent.Math. 63 (1981), 263-286. MR 82g:53051
    • (1981) Invent.Math. , vol.63 , pp. 263-286
    • Bourguignon, J.P.1
  • 5
    • 0000582828 scopus 로고
    • Conformai duality and compact complex surfaces
    • MR 87i:53068
    • Ch. Boyer, Conformai duality and compact complex surfaces., Math. Ann. 271 (1986), 517 - 526. MR 87i:53068
    • (1986) Math. Ann. , vol.271 , pp. 517-526
    • Boyer, Ch.1
  • 7
    • 0000756568 scopus 로고
    • Self-dual Kahler manifolds and Einstein manifolds of dimension four
    • MR 84h:53060
    • A.Derdzinski, Self-dual Kahler manifolds and Einstein manifolds of dimension four, Compositio Math. 49 (1983), 405-433. MR 84h:53060
    • (1983) Compositio Math. , vol.49 , pp. 405-433
    • Derdzinski, A.1
  • 8
    • 33646746944 scopus 로고
    • Locally conformai Kahler manifolds with pointwise constant antiholomorphic sectional curvature
    • MR 93h:53070
    • M.Falcitelli, A.Farinola, Locally conformai Kahler manifolds with pointwise constant antiholomorphic sectional curvature., Riv. Mat. Univ. Parma (4) 17 (1991), 295-314. MR 93h:53070
    • (1991) Riv. Mat. Univ. Parma (4) , vol.17 , pp. 295-314
    • Falcitelli, M.1    Farinola, A.2
  • 9
    • 0002128613 scopus 로고
    • On Bochner curvature tensors in almost Hermitian manifolds
    • MR 88e:53045
    • G.Ganchev, On Bochner curvature tensors in almost Hermitian manifolds., Pliska Studia mathematica bulgarica 9 (1987), 33 - 43. MR 88e:53045
    • (1987) Pliska Studia Mathematica Bulgarica , vol.9 , pp. 33-43
    • Ganchev, G.1
  • 10
    • 0000891872 scopus 로고
    • Fibres hermitiens àendomorphisme de Ricci non négatif
    • MR 58:6375
    • P.Gauduchon, Fibres hermitiens àendomorphisme de Ricci non négatif., Bull. Soc. Math. France 105 (1977), 113-140. MR 58:6375
    • (1977) Bull. Soc. Math. France , vol.105 , pp. 113-140
    • Gauduchon, P.1
  • 11
    • 0001764516 scopus 로고
    • Le théorème de l'excentricité nulle
    • MR 57:10664
    • P.Gauduchon, Le théorème de l'excentricité nulle., C.R.Acad. Sei. Paris, Ser. A 285 (1977), 387-390. MR 57:10664
    • (1977) C.R.Acad. Sei. Paris, Ser. a , vol.285 , pp. 387-390
    • Gauduchon, P.1
  • 12
    • 0000961757 scopus 로고
    • La 1-forme de torsion d'une variété hermitienne compacte
    • MR 87a:53101
    • P.Gauduchon, La 1-forme de torsion d'une variété hermitienne compacte, Math.Ann. 267 (1984), 495-518. MR 87a:53101
    • (1984) Math.Ann. , vol.267 , pp. 495-518
    • Gauduchon, P.1
  • 13
    • 84972518035 scopus 로고
    • Compact four-dimensional Einstein manifolds
    • MR 50:3149
    • N.J.Hitchin, Compact four-dimensional Einstein manifolds, J.Diff.Geom. 9 (1974), 435-441. MR 50:3149
    • (1974) J.Diff.Geom. , vol.9 , pp. 435-441
    • J.hitchin, N.1
  • 14
    • 84959731878 scopus 로고
    • Kählerian twistor spaces
    • MR 84b:32014
    • N.J.Hitchin, Kählerian twistor spaces, Proc.London Math.Soc. 43 (1981), 133-150. MR 84b:32014
    • (1981) Proc.London Math.Soc. , vol.43 , pp. 133-150
    • Hitchin, N.J.1
  • 15
    • 0001024826 scopus 로고
    • Self-duality of Kahler surfaces
    • MR 85m:53079
    • M. Itoh, Self-duality of Kahler surfaces, Compositio Math. 51 (1984), 265-273. MR 85m:53079
    • (1984) Compositio Math. , vol.51 , pp. 265-273
    • Itoh, M.1
  • 16
    • 84972537149 scopus 로고
    • Self-dual and anti-self dual Hermitian surfaces
    • MR 89a:53053
    • T.Koda, Self-dual and anti-self dual Hermitian surfaces., Kodai Math. J. 10 (1987), 335-342. MR 89a:53053
    • (1987) Kodai Math. J. , vol.10 , pp. 335-342
    • Koda, T.1
  • 17
    • 51249175494 scopus 로고
    • Hermitian surfaces of constant holomorphic sectional curvature
    • MR 91m:53052
    • T.Sato, K.Sekigawa, Hermitian surfaces of constant holomorphic sectional curvature., Math. Z. 205 (1990), 659 - 668. MR 91m:53052
    • (1990) Math. Z. , vol.205 , pp. 659-668
    • Sato, T.1    Sekigawa, K.2
  • 18
    • 33646745076 scopus 로고
    • Hermitian surfaces of constant holomorphic sectional curvature II
    • MR 93g:53094
    • T.Sato, K.Sekigawa, Hermitian surfaces of constant holomorphic sectional curvature II., Tamkang J. Math. 23 N2 (1992), 137 - 143. MR 93g:53094
    • (1992) Tamkang J. Math. , vol.23 , Issue.N2 , pp. 137-143
    • Sato, T.1    Sekigawa, K.2
  • 19
    • 0000380982 scopus 로고
    • The curvature of 4-dimensional Einstein spaces
    • Univ. Tokyo Press, Tokyo, MR 41:959
    • I.Singer, J.Thorpe, The curvature of 4-dimensional Einstein spaces., Papers in Honor of Kodaira, Univ. Tokyo Press, Tokyo, 1969, 335 - 365. MR 41:959
    • (1969) Papers in Honor of Kodaira , pp. 335-365
    • Singer, I.1    Thorpe, J.2
  • 20
    • 0001699051 scopus 로고
    • Curvature tensors on almost Hermitian manifolds
    • MR 82j:53071
    • F.Tricerri, L.Vanhecke, Curvature tensors on almost Hermitian manifolds., Trans. Amer. Math. Soc. 267 (1981), 365 - 397. MR 82j:53071
    • (1981) Trans. Amer. Math. Soc. , vol.267 , pp. 365-397
    • Tricerri, F.1    Vanhecke, L.2
  • 21
    • 34250229850 scopus 로고
    • Some curvature properties of complex surfaces
    • MR 841:53064
    • I.Vaisman, Some curvature properties of complex surfaces., Ann. Math. Pura Appl. 132 (1982), 1 - 18. MR 841:53064
    • (1982) Ann. Math. Pura Appl. , vol.132 , pp. 1-18
    • Vaisman, I.1
  • 22
    • 0043160525 scopus 로고
    • Sur la structure presque complexe d'une variété différentiable réelle de dimension 4
    • MR 10:318b
    • W.Wu, Sur la structure presque complexe d'une variété différentiable réelle de dimension 4., C.R.Acad.Sci. Paris, 227 (1948), 1076 - 1078. MR 10:318b
    • (1948) C.R.Acad.Sci. Paris , vol.227 , pp. 1076-1078
    • Wu, W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.