Einstein-Hermitian surfaces and Hermitian Einstein-Weyl structures in dimension 4

Mathematische Zeitschrift

Volumn 226, Issue 2, 1997, Pages 317-326

  Gauduchon, P ^a   Ivanov, S ^b  

^a CNRS   (France)

^b UNIVERSITY OF SOFIA   (Bulgaria)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031494268     PISSN: 00255874     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00004342     Document Type: Article

References (10)

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2. S.K. Donaldson, P.B. Kronheimer: The geometry of four-manifolds, Clarendon Press, Oxford, 1990
3. P. Gauduchon: La topologie d'une surface hermitienne d'Einstein, C.R. Acad. Sci. Paris, 290 (1980), A 509-512
4. 3, J. reine ang. Math. 469 (1995), 1-50
5. G. Ganchev, S. Ivanov: Compact Hermitian surfaces of Einstein type with respect to the Hermitian connection, Monatshefte Math. 123 (1997), 53-59
6. N.J. Hitchin: Review of [Gal] in Math. Reviews 1981, 81e/53052
7. S. Kobayashi: Differential geometry of complex vector bundles, Princeton University Press, 1987
8. H. Pedersen, Y.S. Poon, A. Swann: The Einstein-Weyl equations in Complex and Quaternionic Geometry, J. Diff. Geom. Appl.3, No 4 (1993), 309-321
9. K.P. Tod: Compact 3-dimensional Einstein-Weyl structures, J. London Math. Soc. (2)45 (1992), 341-351
10. I. Vaisman: Some curvature properties of complex surfaces, Ann. Mat. Pura Appl. 32 (1982), 1-18