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On the scalar curvature and sectional curvatures of a Kaehler submanifold


Authors: Bang-yen Chen and Koichi Ogiue
Journal: Proc. Amer. Math. Soc. 41 (1973), 247-250
MSC: Primary 53B35
DOI: https://doi.org/10.1090/S0002-9939-1973-0319087-3
MathSciNet review: 0319087
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Abstract | References | Similar Articles | Additional Information

Abstract: For a Kaehler submanifold of a complex space form, pinching for scalar curvature implies pinching for sectional curvatures.


References [Enhancements On Off] (What's this?)

  • [1] B.-Y. Chen and M. Okumura, Scalar curvature, inequality and submanifold, Proc. Amer. Math. Soc. 38 (1973), 605-608. MR 0343217 (49:7961)
  • [2] K. Ogiue, Differential geometry of Kaehler submanifolds, Advances in Math. (to appear). MR 0346719 (49:11444)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1973-0319087-3
Keywords: Scalar curvature, sectional curvature, Kaehler submanifold
Article copyright: © Copyright 1973 American Mathematical Society

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