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most citedMorse Index Stability for Critical Points to Conformally invariant Lagrangians

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math.DG2022★ 1 cited

Morse Index Stability for Critical Points to Conformally invariant Lagrangians

Francesca Da Lio, Matilde Gianocca, Tristan Rivière

We prove the upper-semi-continuity of the Morse index plus nullity of critical points to general conformally invariant Lagrangians in dimension 2 under weak convergence. Precisely…