Kähler-Einstein surfaces with nonpositive bisectional curvature
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- by Fangyang Zheng PDF
- Proc. Amer. Math. Soc. 121 (1994), 1217-1220 Request permission
Abstract:
In this note we show that, for a Kähler-Einstein surface M with negative Ricci curvature and nonpositive bisectional curvature, if the cotangent bundle of M is not quasi-ample then M is a quotient of the bidisc.References
- Albert Polombo, Condition d’Einstein et courbure négative en dimension $4$, C. R. Acad. Sci. Paris Sér. I Math. 307 (1988), no. 12, 667–670 (French, with English summary). MR 967809
- Brian Smyth, Differential geometry of complex hypersurfaces, Ann. of Math. (2) 85 (1967), 246–266. MR 206881, DOI 10.2307/1970441
- Yum Tong Siu and Paul Yang, Compact Kähler-Einstein surfaces of nonpositive bisectional curvature, Invent. Math. 64 (1981), no. 3, 471–487. MR 632986, DOI 10.1007/BF01389278 S.-T. Yau and F. Zheng, On a borderline class of non-positively curved Kähler manifolds, preprint, 1991.
- Fangyang Zheng, On compact Kähler surfaces with non-positive bisectional curvature, J. London Math. Soc. (2) 51 (1995), no. 1, 201–208. MR 1310732, DOI 10.1112/jlms/51.1.201
Additional Information
- © Copyright 1994 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 121 (1994), 1217-1220
- MSC: Primary 53C55; Secondary 32J27, 53C25
- DOI: https://doi.org/10.1090/S0002-9939-1994-1200182-5
- MathSciNet review: 1200182