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math.DG2025
Morse Index Stability of Branched Willmore Immersions
Alexis Michelat
We show that the sum of the Morse index and the nullity of Willmore immersions of bounded energy is lower semi-continuous without assuming that the limiting immersion and the bubbl…
math.DG2016
Morse Index of Willmore spheres in
Alexis Michelat
We obtain an upper bound for the Morse index of Willmore spheres coming from an immersion of . The quantization of Willmore energy shows that there exists an in…