Positively curved bilinear forms
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- by K. S. Sarkaria and S. M. Zoltek PDF
- Proc. Amer. Math. Soc. 97 (1986), 577-584 Request permission
Abstract:
A characterisation of the positivity of sectional curvature is given in terms of the angular spread of the second fundamental form.References
- W. H. Greub, Linear algebra, 3rd ed., Die Grundlehren der mathematischen Wissenschaften, Band 97, Springer-Verlag New York, Inc., New York, 1967. MR 0224622 S. Kobayashi and K. Nomizu, Foundations of differential geometry, vol. 2, Wiley, New York, 1969.
- Alan Weinstein, Positively curved $n$-manifolds in $R^{n+2}$, J. Differential Geometry 4 (1970), 1–4. MR 264562
Additional Information
- © Copyright 1986 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 97 (1986), 577-584
- MSC: Primary 53B25; Secondary 15A63
- DOI: https://doi.org/10.1090/S0002-9939-1986-0845968-7
- MathSciNet review: 845968