Closed Manifolds Which Admit Nondegenerate Functions with Three Critical Points.¶
Eells, J., & Kuiper, N. H. (1961). Closed Manifolds Which Admit Nondegenerate Functions with Three Critical Points. Indagationes Mathematicae, 7258(61), 411-417.
Cited by¶
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Domain-specific¶
- Eells–Kuiper Manifold
- Their indices are 0, n/2, and n, so the middle index forces n to be even; the attaching problem and the Hopf-invariant-one restriction leave only dimensions 2, 4, 8, and 16.
This sourceShort original three-critical-point result.
- Their indices are 0, n/2, and n, so the middle index forces n to be even; the attaching problem and the Hopf-invariant-one restriction leave only dimensions 2, 4, 8, and 16.
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