Abstract
We now have all the ingredients in place to prove the following: Theorem 15.1 (Differentiable 1/4-Pinched Sphere Theorem). A compact, pointwise 1/4-pinched Riemannian manifold of dimension n≥4 is diffeomorphic to a spherical space form.
Keywords
- Sectional Curvature
- Curvature Operator
- Tangent Cone
- Compact Riemannian Manifold
- Positive Scalar Curvature
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© 2011 Springer-Verlag Berlin Heidelberg
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Andrews, B., Hopper, C. (2011). The Final Argument. In: The Ricci Flow in Riemannian Geometry. Lecture Notes in Mathematics(), vol 2011. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-16286-2_15
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DOI: https://doi.org/10.1007/978-3-642-16286-2_15
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-16285-5
Online ISBN: 978-3-642-16286-2
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