메뉴 건너뛰기




Volumn 48, Issue 4, 1998, Pages 1107-1127

Locally conformally Kähler metrics on Hopf surfaces

Author keywords

Contact form; Deformation; Hopf surface; Killing vector field; Locally conformal K hler metric; Sasakian structure

Indexed keywords


EID: 0032283972     PISSN: 03730956     EISSN: None     Source Type: Journal    
DOI: 10.5802/aif.1651     Document Type: Article
Times cited : (108)

References (26)
  • 1
    • 0031161719 scopus 로고    scopus 로고
    • The Riemannian Goldberg-Sachs Theorem
    • V. APOSTOLOV, P. GAUDUCHON, The Riemannian Goldberg-Sachs Theorem, Int. J. Math., 8 (1997), 421-439.
    • (1997) Int. J. Math. , vol.8 , pp. 421-439
    • Apostolov, V.1    Gauduchon, P.2
  • 4
    • 0002556426 scopus 로고
    • Contact manifolds in Riemannian geometry
    • Springer-Verlag
    • D.E. BLAIR, Contact manifolds in Riemannian geometry, Lecture Notes in Math., 509, Springer-Verlag, 1976.
    • (1976) Lecture Notes in Math. , vol.509
    • Blair, D.E.1
  • 7
    • 0042088863 scopus 로고    scopus 로고
    • Locally conformal Kähler geometry
    • Birkhäuser
    • S. DRAGOMIR, L. ORNEA, Locally conformal Kähler geometry, Progress in Math., 155, Birkhäuser (1998).
    • (1998) Progress in Math. , vol.155
    • Dragomir, S.1    Ornea, L.2
  • 8
    • 0000961757 scopus 로고
    • La 1-forme de torsion d'une variété hermitienne compacte
    • P. GAUDUCHON, La 1-forme de torsion d'une variété hermitienne compacte, Math. Ann., 267 (1984), 495-518.
    • (1984) Math. Ann. , vol.267 , pp. 495-518
    • Gauduchon, P.1
  • 10
    • 11744383082 scopus 로고
    • Séminaire Palaiseau, octobre 1981-janvier 1982, Astérisque
    • Géométrie des surfaces K3: modules et périodes. Séminaire Palaiseau, octobre 1981-janvier 1982, Astérisque, 126 (1985).
    • (1985) Géométrie des Surfaces K3: Modules et Périodes , vol.126
  • 11
    • 0039582400 scopus 로고
    • An intrinsic characterisation of Kähler manifolds
    • R. HARVEY, H. BLAINE LAWSON, Jr, An intrinsic characterisation of Kähler manifolds, Inv. Math., 74 (1983), 139-150.
    • (1983) Inv. Math. , vol.74 , pp. 139-150
    • Harvey, R.1    Blaine Lawson Jr., H.2
  • 13
    • 0000451370 scopus 로고
    • On the structure of compact complex analytic surfaces, II
    • K. KODAIRA, On the structure of compact complex analytic surfaces, II, American J. Math., 88 (1966), 682-722.
    • (1966) American J. Math. , vol.88 , pp. 682-722
    • Kodaira, K.1
  • 15
    • 0002274755 scopus 로고
    • On deformations of complex analytic structures, III, stability theorems for complex structures
    • K. KODAIRA, D.C. SPENCER, On deformations of complex analytic structures, III, stability theorems for complex structures, Ann. of Math., 71 (1960), 43-77.
    • (1960) Ann. of Math. , vol.71 , pp. 43-77
    • Kodaira, K.1    Spencer, D.C.2
  • 16
    • 84855500578 scopus 로고
    • Holonomy and the Lie algebra of infinitesimal motions of a Riemannian manifold
    • B. KOSTANT, Holonomy and the Lie algebra of infinitesimal motions of a Riemannian manifold, Trans. Amer. Math. Soc., 80 (1955), 528-542.
    • (1955) Trans. Amer. Math. Soc. , vol.80 , pp. 528-542
    • Kostant, B.1
  • 18
    • 0001296398 scopus 로고
    • A kind of even dimensional differential geometry and its application to exterior calculus
    • H.C. LEE, A kind of even dimensional differential geometry and its application to exterior calculus, American J. Math., 65 (1943), 433-438.
    • (1943) American J. Math. , vol.65 , pp. 433-438
    • Lee, H.C.1
  • 20
    • 0000713807 scopus 로고
    • Every K3 surface is Kähler
    • Y.-T. SIU, Every K3 surface is Kähler, Inv. Math., 73 (1983), 139-150.
    • (1983) Inv. Math. , vol.73 , pp. 139-150
    • Siu, Y.-T.1
  • 21
    • 84972570185 scopus 로고
    • The standard CR structure on the unit tangent bundle
    • S. TANNO, The standard CR structure on the unit tangent bundle, Tohoku Math. J., 44 (1992), 535-543.
    • (1992) Tohoku Math. J. , vol.44 , pp. 535-543
    • Tanno, S.1
  • 22
    • 0039281633 scopus 로고
    • Some examples of locally conformal Kähler manifolds
    • F. TRICERRI, Some examples of locally conformal Kähler manifolds, Rend. Sem. Mat. Univ. Politecn. Torino, 40 (1982), 81-92.
    • (1982) Rend. Sem. Mat. Univ. Politecn. Torino , vol.40 , pp. 81-92
    • Tricerri, F.1
  • 23
    • 84967773768 scopus 로고
    • Some curvature properties of Locally Conformal Kähler Manifolds
    • I. VAISMAN, Some curvature properties of Locally Conformal Kähler Manifolds, Trans. Amer. Math. Soc., 259 (1980), 439-447
    • (1980) Trans. Amer. Math. Soc. , vol.259 , pp. 439-447
    • Vaisman, I.1
  • 24
    • 84968470220 scopus 로고
    • On locally and Globally Conformal Kähler Manifolds
    • I. VAISMAN, On locally and Globally Conformal Kähler Manifolds, Trans. Amer. Math. Soc., 262 (1980), 533-542.
    • (1980) Trans. Amer. Math. Soc. , vol.262 , pp. 533-542
    • Vaisman, I.1
  • 25
    • 0000755640 scopus 로고
    • Generalized Hopf manifolds
    • I. VAISMAN, Generalized Hopf manifolds, Geometriae Dedicata, 13 (1982), 231-255.
    • (1982) Geometriae Dedicata , vol.13 , pp. 231-255
    • Vaisman, I.1
  • 26
    • 0039475212 scopus 로고
    • Non-Kähler metrics on geometric complex surfaces
    • I. VAISMAN, Non-Kähler metrics on geometric complex surfaces, Rend. Sem. Mat. Univ. Politecn. Torino, Vol. 45, 3 (1987), 117-123.
    • (1987) Rend. Sem. Mat. Univ. Politecn. Torino , vol.45 , Issue.3 , pp. 117-123
    • Vaisman, I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.