6 papers · 1 filter
On Existences Of Periodic Orbits For Hamilton Systems
Renyi Ma
We prove that either there exists at least one hamilton periodic orbit in a given energy close smooth hypersurface or there exist at least two hamilton periodic orbits in a near-by…
A Note On Weinstein's Conjecture
Renyi Ma
We prove that there exists at least one close orbit in a given contact hypersurface in some symplectic manifolds.
A Proof On Arnold Chord Conjecture In Cotangent Bundles
Renyi Ma
We prove the Arnold chord conjecture on cotangent bundles of open manifold by Gromov's nonlinear Fredholm alternative for holomorphic curves.
A Proof On Weinstein Conjecture On Cotangent Bundles Of Open Manifold
Renyi Ma
We give an proof on the Weinstein conjecture on the cotangent bundles of open manifolds. Its proof is based on Gromov's nonlinear Fredholm alternative.
Proofs On Arnold Chord Conjecture And Weinstein Conjecture In M\times C
Renyi Ma
We give new proofs on Arnold Chord Conjecture and Weinstein Conjecture in M\times C which generalizes the previous works.
J-holomorphic Disks and Lagrangian Squeezing
Renyi Ma
We define an invariant for Lagrangian submanifold and prove that if the Lagrangian submanifold is embedded in the ball of radius , then must be smaller t…