Morse Index Bound for Minimal Two Spheres
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AbstractGiven a closed manifold of dimension at least three, with non-trivial homotopy group $$\pi _3(M)$$ π 3 ( M ) and a generic metric, we prove that there is a finite collection of harmonic spheres with Morse index bounded by one, with sum of their energies realizing a geometric invariant width.
2014 ◽
Vol 26
(03)
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pp. 1450004
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1979 ◽
Vol 85
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pp. 61-68
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2006 ◽
Vol 3
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pp. 495-512
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1960 ◽
Vol 56
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pp. 215-219
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1993 ◽
Vol 03
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pp. 1045-1049
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pp. 599-609
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2016 ◽
Vol 08
(03)
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pp. 545-570
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