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Hopf-type rigidity for Newton equations

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Publication:1910665
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DOI10.4310/MRL.1995.v2.n6.a3zbMath0861.58012MaRDI QIDQ1910665

Misha Bialy, Leonid Polterovich

Publication date: 20 March 1996

Published in: Mathematical Research Letters (Search for Journal in Brave)


zbMATH Keywords

conjugate pointsHopf-type rigidity


Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Global Riemannian geometry, including pinching (53C20) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Lagrange's equations (70H03) Applications of variational problems to control theory (58E25)


Related Items (8)

Symplectic twist maps without conjugate points ⋮ On Newton equations which are totally integrable at infinity ⋮ Hopf type rigidity for thermostats ⋮ A note on Morse inequalities for harmonic maps with potential and their applications ⋮ Variational properties of a nonlinear elliptic equation and rigidity ⋮ Symplectic topology in the nineties ⋮ On periodic solutions for a reduction of Benney chain ⋮ Riemannian manifolds with uniformly bounded eigenfunctions




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