Positively curved Kaehler submanifolds
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- by Antonio Ros PDF
- Proc. Amer. Math. Soc. 93 (1985), 329-331 Request permission
Abstract:
In this note we prove that if the holomorphic curvature of a compact Kaehler submanifold in the complex projective space is bigger than $\tfrac {1}{2}$, then it is totally geodesic.References
- Koichi Ogiue, Differential geometry of Kaehler submanifolds, Advances in Math. 13 (1974), 73–114. MR 346719, DOI 10.1016/0001-8708(74)90066-8
- Yum Tong Siu and Shing Tung Yau, Compact Kähler manifolds of positive bisectional curvature, Invent. Math. 59 (1980), no. 2, 189–204. MR 577360, DOI 10.1007/BF01390043
Additional Information
- © Copyright 1985 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 93 (1985), 329-331
- MSC: Primary 53C55; Secondary 53C40
- DOI: https://doi.org/10.1090/S0002-9939-1985-0770547-9
- MathSciNet review: 770547