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20162026
most citedNon-contractible periodic orbits in Hamiltonian dynamics on tori

9 citations · 22 across the 11 of their papers we have counts for

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math.AT2016★ 2 cited

Morse-Bott inequalities for manifolds with boundary

Ryuma Orita

In the present paper, we define Morse-Bott functions on manifolds with boundary which are generalizations of Morse functions and show Morse-Bott inequalities for these manifolds.

math.SG2016★ 9 cited

Non-contractible periodic orbits in Hamiltonian dynamics on tori

Ryuma Orita

We show that the presence of one non-degenerate, non-contractible periodic orbit of a Hamiltonian on the standard symplectic torus implies the existence of infinitely many simple n…