509 citations
- Institute of Physics, Academia SinicaTW12 papers
- National Tsing Hua UniversityTW11 papers
- National Taiwan UniversityTW10 papers
- Chalmers University of TechnologySE7 papers
- City University of Hong KongHK7 papers
- National Center for Theoretical SciencesTW7 papers
- National Cheng Kung UniversityTW7 papers
- National Yang Ming Chiao Tung UniversityTW7 papers
- Institute of Mathematics, Academia SinicaTW6 papers
- Academia SinicaTW5 papers
- National Formosa UniversityTW5 papers
- Flatiron Health (United States)US4 papers
8 papers · 1 filter
Another proof of the local curvature estimate for the Ricci flow
Shu-Yu Hsu
By using the De Giorgi iteration method we will give a new simple proof of the recent result of B.Kotschwar, O.Munteanu, J.Wang [KMW] and N.Sesum [S] on the local boundedness of th…
Rotational symmetry and properties of the ancient solutions of Ricci flow on surfaces
Shu-Yu Hsu
We give a simple proof for the rotational symmetry of ancient solutions of Ricci flow on surfaces. As a consequence we obtain a simple proof of some results of P.Daskalopoulos, R.H…
An elementary proof of the convergence of Ricci flow on compact surfaces
Shu-Yu Hsu
This paper has been withdrawn by the author for further modification.
Uniqueness of solutions of Ricci flow on complete noncompact manifolds
Shu-Yu Hsu
We prove the uniqueness of solutions of the Ricci flow on complete noncompact manifolds with bounded curvatures using the De Turck approach. As a consequence we obtain a correct pr…
A lower bound for the scalar curvature of the standard solution of the Ricci flow
Shu-Yu Hsu
In this paper we will give a rigorous proof of the lower bound for the scalar curvature of the standard solution of the Ricci flow conjectured by G. Perelman. We will prove that th…
A simple proof on the non-existence of shrinking breathers for the Ricci flow
Shu-Yu Hsu
Suppose is a compact n-dimensional manifold, , with a metric that evolves by the Ricci flow in . We will give a…