Renyi Ma

activity

20002013

most citedProofs On Arnold Conjectures

2 citations · 4 across the 18 of their papers we have counts for

collaborators

18 papers

math.GM2013

Existence Of Contact Structure

Renyi Ma

Let $(Σ, ξ^{'}, ω)$ be a close almost contact $(2 n - 1)$ -manifold. Then, by McDuff's theorem, we prove that $ξ^{'}$ is homotopic to a contact structure $ξ$ . This answers a question proposed…

math.GM2009

A Proof On Arnold Chord Conjecture

Renyi Ma

In this article, we first give a proof on the Arnold chord conjecture which states that every Reeb flow has at least as many Reeb chords as a smooth function on the Legendre subman…

math.GM2008

A Proof On Arnold-Chekanov Conjecture

Renyi Ma

In this article, we give a proof on the Arnold-Chekanov Lagrangian intersection conjecture on the cotangent bundles and its generalizations.

math.GM2008

A Simple Proof On Poincaré Conjecture

Renyi Ma

We give a simple proof on the Poincaré's conjecture which states that every compact smooth $3 -$ manifold which is homotopically equivalent to $S^{3}$ is diffeomorphic to $S^{3}$ .

math.GT2008

Simple homotopy invariance of higher signatures

Renyi Ma

We prove that the higher signature for any close oriented manifold is a simple-homotopy invariant.

math.AG2008★ 1 cited

Complex manifolds with generating tangent bundles

Renyi Ma

Let $M$ be a close complex manifold and $T M$ its holomorphic tangent bundle. We prove that if the global holomorphic sections of tangent bundle generate each fibre, then $M$ is a c…