6 citations · 73 across the 45 of their papers we have counts for
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math.DG2014★ 3 cited
Splitting lemmas for the Finsler energy functional on the space of -curves
Guangcun Lu
We establish the splitting lemmas (or generalized Morse lemmas) for the energy functionals of Finsler metrics on the natural Hilbert manifolds of -curves around a critical poi…
math.SG2014
A class of new bi-invariant metrics on the Hamiltonian diffeomorphism groups
Guangcun Lu, Tie Sun
In this paper, we construct infinitely many bi-invariant metrics on the Hamiltonian diffeomorphism group and study their basic properties and corresponding generalizations of the H…